Veröffentlichungen

% % This file was created by the TYPO3 extension % publications % --- Timezone: CEST % Creation date: 2023-06-08 % Creation time: 23:54:50 % --- Number of references % 424 % @Article { tschaffon_average_2023, author = {Tschaffon, M. E. N. and Seiler, J. and Freyberger, M.}, title = {Average correlation as an indicator for nonclassicality}, year = {2023}, month = {4}, day = {27}, DOI = {10.1103/PhysRevResearch.5.023063}, journal = {Phys. Rev. Res.}, volume = {5}, note = {Publisher: American Physical Society} } @Article { Boegel_2023, author = {Boegel, P. and Wolf, A. and Meister, M. and Efremov, M. A.}, title = {Controlled expansion of shell-shaped Bose–Einstein condensates}, abstract = {Motivated by the recent experimental realization of ultracold quantum gases in shell topology, we propose a straightforward implementation of matter-wave lensing techniques for shell-shaped Bose–Einstein condensates. This approach allows to significantly extend the free evolution time of the condensate shell after release from the trap and enables the study of novel quantum many-body effects on curved geometries. With both analytical and numerical methods we derive optimal parameters for realistic schemes to conserve the shell shape of the condensate for times up to hundreds of milliseconds.}, year = {2023}, month = {4}, day = {27}, DOI = {10.1088/2058-9565/acc969}, journal = {Quantum Science and Technology}, volume = {8} } @Article { Glasbrenner_2023, author = {Glasbrenner, E. P. and Schleich, W. P.}, title = {The Landau–Zener formula made simple}, abstract = {We employ the Markov approximation and the well-known Fresnel-integral to derive in \grqone-line’ the familiar expression for the Landau–Zener transition probability. Moreover, we provide numerical as well as analytical justifications for our approach, and identify three characteristic motions of the probability amplitude in the complex plane.}, year = {2023}, month = {4}, day = {13}, DOI = {10.1088/1361-6455/acc774}, journal = {Journal of Physics B: Atomic, Molecular and Optical Physics}, volume = {56} } @Article { di_pumpo_universality—clock-rates_2023, author = {Di Pumpo, F. and Friedrich, A. and Ufrecht, C. and Giese, E.}, title = {Universality-of-clock-rates test using atom interferometry with T³ scaling}, year = {2023}, month = {3}, DOI = {10.1103/PhysRevD.107.064007}, journal = {Phys. Rev. D}, volume = {107}, note = {Publisher: American Physical Society} } @Article { schach_tunneling_2022, author = {Schach, P. and Friedrich, A. and Williams, J. R. and Schleich, W. P. and Giese, E.}, title = {Tunneling gravimetry}, abstract = {We examine the prospects of utilizing matter-wave Fabry–P\{\'\{e\}\}rot interferometers for enhanced inertial sensing applications. Our study explores such tunneling-based sensors for the measurement of accelerations in two configurations: (a) a transmission setup, where the initial wave packet is transmitted through the cavity and (b) an out-tunneling scheme with intra-cavity generated initial states lacking a classical counterpart. We perform numerical simulations of the complete dynamics of the quantum wave packet, investigate the tunneling through a matter-wave cavity formed by realistic optical potentials and determine the impact of interactions between atoms. As a consequence we estimate the prospective sensitivities to inertial forces for both proposed configurations and show their feasibility for serving as inertial sensors.}, year = {2022}, month = {8}, DOI = {10.1140/epjqt/s40507-022-00140-3}, journal = {EPJ Quantum Technology}, volume = {9} } @Article { PhysRevA.106.013309, author = {Wolf, A. and Boegel, P. and Meister, M. and Balaz, A. and Gaaloul, N. and Efremov, M. A.}, title = {Shell-shaped Bose-Einstein condensates based on dual-species mixtures}, year = {2022}, month = {7}, DOI = {10.1103/PhysRevA.106.013309}, journal = {Phys. Rev. A}, volume = {106} } @Article { schleich_2021, author = {Schleich, W. P.}, title = {Der Pfeil der Zeit: Festvortrag}, year = {2022}, month = {7}, DOI = {https://doi.org/10.11588/diglit.61622.11}, journal = {Heidelberger Akademie der Wissenschaften: Jahrbuch 2021} } @Article { jenewein_bragg-diffraction-induced_2022, author = {Jenewein, J. and Hartmann, S. and Roura, A. and Giese, E.}, title = {Bragg-diffraction-induced imperfections of the signal in retroreflective atom interferometers}, year = {2022}, month = {6}, DOI = {10.1103/PhysRevA.105.063316}, journal = {Phys. Rev. A}, volume = {105}, note = {Publisher: American Physical Society} } @Article { rozenman_periodic_2022, author = {Rozenman, G. G. and Schleich, W. P. and Shemer, L. and Arie, A.}, title = {Periodic Wave Trains in Nonlinear Media: Talbot Revivals, Akhmediev Breathers, and Asymmetry Breaking}, year = {2022}, month = {5}, DOI = {10.1103/PhysRevLett.128.214101}, journal = {Phys. Rev. Lett.}, volume = {128}, note = {Publisher: American Physical Society} } @Article { di_pumpo_light_2022, author = {Di Pumpo, F. and Friedrich, A. and Geyer, A. and Ufrecht, C. and Giese, E.}, title = {Light propagation and atom interferometry in gravity and dilaton fields}, year = {2022}, month = {4}, DOI = {10.1103/PhysRevD.105.084065}, journal = {Phys. Rev. D}, volume = {105}, note = {Publisher: American Physical Society} } @Article { doi:10.1116/5.0074429, author = {Ullinger, F. and Zimmermann, M. and Schleich, W. P.}, title = {The logarithmic phase singularity in the inverted harmonic oscillator}, year = {2022}, month = {3}, DOI = {10.1116/5.0074429}, journal = {AVS Quantum Science}, volume = {4} } @Article { asmann_light-pulse_2022, author = {A\{\"\{s\}\}mann, T. and Di Pumpo, F. and Giese, E.}, title = {Light-pulse atom interferometry with entangled atom-optical elements}, year = {2022}, month = {2}, DOI = {10.1103/PhysRevResearch.4.013115}, journal = {Phys. Rev. Research}, volume = {4}, note = {Publisher: American Physical Society} } @Article { rodrigues_goncalves_bright_2022, author = {Rodrigues Gon\{\c\{c\}\}alves, M. and Rozenman, G. G. and Zimmermann, M. and Efremov, M. A. and Case, W. B. and Arie, A. and Shemer, L. and Schleich, W. P.}, title = {Bright and dark diffractive focusing}, abstract = {We investigate bright and dark diffractive focusing emerging in the free propagation of specific wave profiles. These general wave phenomena manifest themselves in matter, water, and classical waves. In this article, we lay the foundations for these effects and illustrate their origin in Wigner phase space. Our theoretical studies are supported by experimental demonstrations of dark focusing in water waves. Moreover, by using different phase slits we analyze several aspects of bright and dark focusing for classical and matter waves.}, year = {2022}, month = {2}, DOI = {10.1007/s00340-022-07755-5}, journal = {Applied Physics B}, volume = {128} } @Article { https://doi.org/10.18725/oparu-43717, author = {Janson, G.}, title = {Doppler-free Two-photon Transitions in Atom Interferometry}, year = {2022}, month = {1}, DOI = {10.18725/OPARU-43717}, journal = {Master Thesis}, keywords = {DDC 530 / Physics, Quantum theory, Interferometry, Atom interferometry, Atominterferometrie, Quantenmechanik} } @Article { Happ_2022, author = {Happ, L. and Zimmermann, M. and Efremov, M. A.}, title = {Universality of excited three-body bound states in one dimension}, abstract = {We study a heavy–heavy–light three-body system confined to one space dimension in the regime where an excited state in the heavy–light subsystems becomes weakly bound. The associated two-body system is characterized by (i) the structure of the weakly-bound excited heavy–light state and (ii) the presence of deeply-bound heavy–light states. The consequences of these aspects for the behavior of the three-body system are analyzed. We find a strong indication for universal behavior of both three-body binding energies and wave functions for different weakly-bound excited states in the heavy–light subsystems.}, year = {2022}, month = {1}, DOI = {10.1088/1361-6455/ac3cc8}, journal = {Journal of Physics B: Atomic, Molecular and Optical Physics}, volume = {55} } @Article { schleich_2021, author = {Schleich, W. P.}, title = {Geleitwort, in: Kurt G\{\"\{o\}\}dels Notizen zur Quantenmechanik}, year = {2021}, month = {12}, DOI = {10.1007/978-3-662-63808-8\_1} } @Article { di_pumpo_gravitational_2021, author = {Di Pumpo, F. and Ufrecht, C. and Friedrich, A. and Giese, E. and Schleich, W. P. and Unruh, W. G.}, title = {Gravitational Redshift Tests with Atomic Clocks and Atom Interferometers}, year = {2021}, month = {11}, day = {11}, DOI = {10.1103/PRXQuantum.2.040333}, journal = {PRX Quantum}, volume = {2}, note = {Publisher: American Physical Society} } @Article { Happ_2021, author = {Happ, L. and Efremov, M. A.}, title = {Proof of universality in one-dimensional few-body systems including anisotropic interactions}, abstract = {We provide an analytical proof of universality for bound states in one-dimensional systems of two and three particles, valid for short-range interactions with negative or vanishing integral over space. The proof is performed in the limit of weak pair-interactions and covers both binding energies and wave functions. Moreover, in this limit the results are formally shown to converge to the respective ones found in the case of the zero-range contact interaction.}, year = {2021}, month = {11}, DOI = {10.1088/1361-6455/ac3b3f}, journal = {Journal of Physics B: Atomic, Molecular and Optical Physics}, volume = {54} } @Article { 2021, author = {Boegel, P. and Meister, M. and Siem\{\"\{s\}\}, J.-N. and Gaaloul, N. and Efremov, M. A. and Schleich, W. P.}, title = {Diffractive focusing of a uniform Bose Einstein condensate}, abstract = {We propose a straightforward implementation of the phenomenon of diffractive focusing with uniform atomic Bose–Einstein condensates. Both, analytical as well as numerical methods not only illustrate the influence of the atom–atom interaction on the focusing factor and the focus time, but also allow us to derive the optimal conditions for observing focusing of this type in the case of interacting matter waves.}, year = {2021}, month = {10}, day = {19}, DOI = {10.1088/1361-6455/ac2ab6}, journal = {J. Phys. B: At. Mol. Opt. Phys.}, volume = {54} } @Article { 910308368387_2021, author = {Konrad, B. and Di Pumpo, F. and Freyberger, M.}, title = {Qubit-based momentum measurement of a particle}, abstract = {An early approach to include pointers representing measurement devices into quantum mechanics was given by von Neumann. Based on this idea, we model such pointers by qubits and couple them to a free particle, in analogy to a classical time-of-flight arrangement. The corresponding Heisenberg dynamics leads to pointer observables whose expectation values allow us to reconstruct the particle’s momentum distribution via the characteristic function. We investigate different initial qubit states and find that such a reconstruction can be considerably simplified by initially entangled pointers.}, year = {2021}, month = {10}, day = {16}, DOI = {10.1140/epjd/s10053-021-00282-6}, journal = {The European Physical Journal D}, volume = {75} } @Article { kling_high-gain_2021, author = {Kling, P. and Giese, E. and Carmesin, C. M. and Sauerbrey, R. and Schleich, W. P.}, title = {High-gain quantum free-electron laser: Long-time dynamics and requirements}, year = {2021}, month = {9}, DOI = {10.1103/PhysRevResearch.3.033232}, journal = {Phys. Rev. Research}, volume = {3}, note = {Publisher: American Physical Society} } @Article { seiler_geometric_2021, author = {Seiler, J. and Strohm, T. and Schleich, W. P.}, title = {Geometric interpretation of the Clauser-Horne-Shimony-Holt inequality of nonmaximally entangled states}, year = {2021}, month = {9}, DOI = {10.1103/PhysRevA.104.032218}, journal = {Phys. Rev. A}, volume = {104}, note = {Publisher: American Physical Society} } @Article { battelier_exploring_2021, author = {Battelier, B. and Berg\{\'\{e\}\}, J. and Bertoldi, A. and Blanchet, L. and Bongs, K. and Bouyer, P. and Braxmaier, C. and Calonico, D. and Fayet, P. and Gaaloul, N. and Guerlin, C. and Hees, A. and Jetzer, P. and L\{\"\{a\}mmerzahl, C. and Lecomte, S. and Le Poncin-Lafitte, C. and Loriani, S. and M\{\'\{e\}\}tris, G. and Nofrarias, M. and Rasel, E. and Reynaud, S. and Rothacher, M. and Roura, A. and Salomon, C. and Schiller, S. and Schleich, W. P. and Schubert, C. and Sopuerta, C. F. and Sorrentino, F. and Sumner, T. J. and Tino, G. M. and Tuckey, P. and Klitzing, W. von and W\{\"\{o\}\}rner, L. and Wolf, P. and Zelan, M.}, title = {Exploring the foundations of the physical universe with space tests of the equivalence principle}, abstract = {We present the scientific motivation for future space tests of the equivalence principle, and in particular the universality of free fall, at the 10− 17 level or better. Two possible mission scenarios, one based on quantum technologies, the other on electrostatic accelerometers, that could reach that goal are briefly discussed. This publication is a White Paper written in the context of the Voyage 2050 ESA Call for White Papers.}, year = {2021}, month = {9}, DOI = {10.1007/s10686-021-09718-8}, journal = {Experimental Astronomy}, volume = {51} } @Article { weisman_diffractive_2021, author = {Weisman, D. and Carmesin, C. M. and Rozenman, G.G. and Efremov, M. A. and Shemer, L. and Schleich, W. P. and Arie, A.}, title = {Diffractive Guiding of Waves by a Periodic Array of Slits}, year = {2021}, month = {7}, day = {2}, DOI = {10.1103/PhysRevLett.127.014303}, journal = {Phys. Rev. Lett.}, volume = {127}, note = {Publisher: American Physical Society} } @Article { doi:10.1063/5.0048806, author = {Soukup, K. and Di Pumpo, F. and A\{\"\{s\}\}mann, T. and Schleich, W. P. and Giese, E.}, title = {Atom interferometry with quantized light pulses}, year = {2021}, month = {4}, day = {29}, DOI = {10.1063/5.0048806}, journal = {The Journal of Chemical Physics}, volume = {154} } @Article { Rozenman2021, author = {Rozenman, G. G. and Zimmermann, M. and Efremov, M. A. and Schleich, W. P. and Case, W. B. and Greenberger, D. M. and Shemer, L. and Arie, A.}, title = {Projectile motion of surface gravity water wave packets: An analogy to quantum mechanics}, abstract = {We study phase contributions of wave functions that occur in the evolution of Gaussian surface gravity water wave packets with nonzero initial momenta propagating in the presence and absence of an effective external linear potential. Our approach takes advantage of the fact that in contrast to matter waves, water waves allow us to measure both their amplitudes and phases.}, year = {2021}, month = {4}, day = {16}, DOI = {10.1140/epjs/s11734-021-00096-y}, journal = {The European Physical Journal Special Topics}, volume = {230} } @Article { lachmann_ultracold_2021, author = {Lachmann, M.D. and Ahlers, H. and Becker, D. and Dinkelaker, A. N. and Grosse, J. and Hellmig, O. and M\{\"\{u\}\}ntinga, H. and Schkolnik, V. and Seidel, S. T. and Wendrich, T. and Wenzlawski, A. and Carrick, B. and Gaaloul, N. and L\{\"\{u\}\}dtke, D. and Braxmaier, C. and Ertmer, W. and Krutzik, M. and L\{\"\{a\}mmerzahl, C. and Peters, A. and Schleich, W. P. and Sengstock, K. and Wicht, A. and Windpassinger, P. and Rasel, E. M.}, title = {Ultracold atom interferometry in space}, abstract = {Bose-Einstein condensates (\{BECs\}) in free fall constitute a promising source for space-borne interferometry. Indeed, \{BECs\} enjoy a slowly expanding wave function, display a large spatial coherence and can be engineered and probed by optical techniques. Here we explore matter-wave fringes of multiple spinor components of a \{BEC\} released in free fall employing light-pulses to drive Bragg processes and induce phase imprinting on a sounding rocket. The prevailing microgravity played a crucial role in the observation of these interferences which not only reveal the spatial coherence of the condensates but also allow us to measure differential forces. Our work marks the beginning of matter-wave interferometry in space with future applications in fundamental physics, navigation and earth observation.}, year = {2021}, month = {2}, day = {26}, DOI = {10.1038/s41467-021-21628-z}, journal = {Nature Comm.}, volume = {12} } @Article { PhysRevA.103.023305, author = {Ufrecht, C.}, title = {Generalized gravity-gradient mitigation scheme}, year = {2021}, month = {2}, day = {3}, DOI = {10.1103/PhysRevA.103.023305}, journal = {Phys. Rev. A}, volume = {103} } @Article { frye_bose-einstein_2021, author = {Frye, K. and Abend, S. and Bartosch, W. and Bawamia, A. and Becker, D. and Blume, H. and Braxmaier, C. and Chiow, S.-W. and Efremov, M. A. and Ertmer, W. and Fierlinger, P. and Franz, T. and Gaaloul, N. and Grosse, J. and Grzeschik, C. and Hellmig, O. and Henderson, V. A. and Herr, W. and Israelsson, U. and Kohel, J. and Krutzik, M. and K\{\"\{u\}\}rbis, C. and L\{\"\{a\}mmerzahl, C. and List, M. and L\{\"\{u\}\}dtke, D. and Lundblad, N. and Marburger, J. P. and Meister, M. and Mihm, M. and M\{\"\{u\}\}ller, H. and M\{\"\{u\}\}ntinga, H. and Nepal, A. M. and Oberschulte, T. and Papakonstantinou, A. and Perovs̆ek, J. and Peters, A. and Prat, A. and Rasel, E. M. and Roura, A. and Sbroscia, M. and Schleich, W. P. and Schubert, C. and Seidel, S. T. and Sommer, J. and Spindeldreier, C. and Stamper-Kurn, D. and Stuhl, B. K. and Warner, M. and Wendrich, T. and Wenzlawski, A. and Wicht, A. and Windpassinger, P. and Yu, N. and W\{\"\{o\}\}rner, L.}, title = {The Bose-Einstein Condensate and Cold Atom Laboratory}, abstract = {Microgravity eases several constraints limiting experiments with ultracold and condensed atoms on ground. It enables extended times of flight without suspension and eliminates the gravitational sag for trapped atoms. These advantages motivated numerous initiatives to adapt and operate experimental setups on microgravity platforms. We describe the design of the payload, motivations for design choices, and capabilities of the Bose-Einstein Condensate and Cold Atom Laboratory (\{BECCAL\}), a \{NASA\}-\{DLR\} collaboration. \{BECCAL\} builds on the heritage of previous devices operated in microgravity, features rubidium and potassium, multiple options for magnetic and optical trapping, different methods for coherent manipulation, and will offer new perspectives for experiments on quantum optics, atom optics, and atom interferometry in the unique microgravity environment on board the International Space Station.}, year = {2021}, month = {1}, day = {4}, DOI = {10.1140/epjqt/s40507-020-00090-8}, journal = {The European Physical Journal Quantum Technology}, volume = {8} } @Article { PhysRevA.102.063326, author = {Hartmann, S. and Jenewein, J. and Abend, S. and Roura, A. and Giese, E.}, title = {Atomic Raman scattering: Third-order diffraction in a double geometry}, year = {2020}, month = {12}, day = {22}, DOI = {10.1103/PhysRevA.102.063326}, journal = {Phys. Rev. A}, volume = {102} } @Article { PhysRevResearch.2.043240, author = {Ufrecht, C. and Di Pumpo, F. and Friedrich, A. and Roura, A. and Schubert, C. and Schlippert, Dennis and Rasel, E. M. and Schleich, W. P. and Giese, E.}, title = {Atom-interferometric test of the universality of gravitational redshift and free fall}, year = {2020}, month = {11}, day = {16}, DOI = {10.1103/PhysRevResearch.2.043240}, journal = {Phys. Rev. Research}, volume = {2} } @Article { Seiler_2020, author = {Seiler, J. and Strohm, T. and Schleich, W. P.}, title = {Estimating the privacy of quantum-random numbers}, abstract = {We analyze the information an attacker can obtain on the numbers generated by a user by measurements on a subsystem of a system consisting of two entangled two-level systems. The attacker and the user make measurements on their respective subsystems, only. Already the knowledge of the density matrix of the subsystem of the user completely determines the upper bound on the information accessible to the attacker. We compare and contrast this information to the appropriate bounds provided by quantum state discrimination.}, year = {2020}, month = {9}, day = {21}, DOI = {10.1088/1367-2630/abac73}, journal = {New J. Phys.}, volume = {22} } @Article { PhysRevA.102.027302, author = {Ufrecht, C. and Giese, E.}, title = {Reply to \dqComment on 'Perturbative operator approach to high-precision light-pulse atom interferometry' ''}, year = {2020}, month = {8}, day = {20}, DOI = {10.1103/PhysRevA.102.027302}, journal = {Phys. Rev. A}, volume = {102} } @Article { PhysRevA.101.053615, author = {Ufrecht, C. and Giese, E.}, title = {Perturbative operator approach to high-precision light-pulse atom interferometry}, year = {2020}, month = {5}, day = {8}, DOI = {10.1103/PhysRevA.101.053615}, journal = {Phys. Rev. A}, volume = {101} } @Article { PhysRevA.101.053610, author = {Hartmann, S. and Jenewein, J. and Giese, E. and Abend, S. and Roura, A. and Rasel, E.M. and Schleich, W.P.}, title = {Regimes of atomic diffraction: Raman versus Bragg diffraction in retroreflective geometries}, year = {2020}, month = {5}, day = {8}, DOI = {10.1103/PhysRevA.101.053610}, journal = {Phys. Rev. A}, volume = {101} } @Article { PhysRevResearch.2.023027, author = {Carmesin, C. M. and Kling, P. and Giese, E. and Sauerbrey, R. and Schleich, W. P.}, title = {Quantum and classical phase-space dynamics of a free-electron laser}, year = {2020}, month = {4}, day = {10}, DOI = {10.1103/PhysRevResearch.2.023027}, journal = {Phys. Rev. Research}, volume = {2} } @Article { spec_mirror, author = {Di Pumpo, F. and Friedrich, A. and Giese, E. and Roura, A. and Lemmel, H. and Greenberger, D.M. and Rasel, E.M. and Schleich, W.P.}, title = {Specular mirror interferometer}, year = {2020}, month = {4}, day = {4}, DOI = {https://doi.org/10.1016/bs.po.2019.11.006}, booktitle = {A Tribute to Emil Wolf}, journal = {Progress in Optics}, volume = {65} } @Article { Mukamel_2020, author = {Mukamel, S. and Freyberger, M. and Schleich, W. P. and Bellini, M. and Boyd, R. W. and S\{\'\{a\}\}nchez-Soto, L. L. and Barbieri, M. and Paterova, A. and Krivitsky, L. and Dorfman, K. and Schlawin, F. and Sandoghdar, V. and Raymer, M. and Marcus, A. and Goodson, T. and Asban, S. and Scully, M. and Agarwal, G. and Peng, T. and Laussy, F.}, title = {Roadmap on quantum light spectroscopy}, abstract = {Conventional spectroscopy uses classical light to detect matter properties through the variation of its response with frequencies or time delays. Quantum light opens up new avenues for spectroscopy by utilizing parameters of the quantum state of light as novel control knobs and through the variation of photon statistics by coupling to matter. This Roadmap article focuses on using quantum light as a powerful sensing and spectroscopic tool to reveal novel information about complex molecules that is not accessible by classical light. It aims at bridging the quantum optics and spectroscopy communities which normally have opposite goals: manipulating complex light states with simple matter e.g. qubits versus studying complex molecules with simple classical light, respectively. Articles cover advances in the generation and manipulation of state-of-the-art quantum light sources along with applications to sensing, spectroscopy, imaging and interferometry.}, year = {2020}, month = {3}, day = {16}, DOI = {10.1088/1361-6455/ab69a8}, journal = {J. Phys. B: At. Mol. Opt. Phys.}, volume = {53} } @Article { DiPumpo2019, author = {Di Pumpo, F. and Freyberger, M.}, title = {Pointer-based model for state reduction in momentum space}, abstract = {We revisit the pointer-based measurement concept of von Neumann which allows us to model a quantum counterpart of the classical time-of-flight (ToF) momentum. Our approach is based on the Hamiltonian for a particle interacting with two quantum pointers serving as basic measurement devices. The corresponding dynamics leads to a pointer-based ToF observable for the operational momentum of the particle. We can consider single measurements of our quantum pointers and show that this process will result in a state reduction for a single particle being downstream of the time-of-flight setup.}, year = {2019}, month = {Aug}, day = {06}, issn = {1434-6079}, DOI = {10.1140/epjd/e2019-100226-1}, journal = {The European Physical Journal D}, volume = {73}, pages = {163}, number = {8}, file_url = {https://doi.org/10.1140/epjd/e2019-100226-1} } @Article { 430675500993_2019, author = {Tino, G. M. and Bassi, Angelo and Bianco, Giuseppe and Bongs, K. and Bouyer, P. and Cacciapuoti, Luigi and Capozziello, Salvatore and Chen, Xuzong and Chiofalo, Maria L. and Derevianko, Andrei and Ertmer, W. and Gaaloul, N. and Gill, Patrick and Graham, Peter W. and Hogan, Jason M. and Iess, Luciano and Kasevich, Mark A. and Katori, Hidetoshi and Klempt, Carsten and Lu, Xuanhui and Ma, Long-Sheng and M\{\"\{u\}\}ller, H. and Newbury, Nathan R. and Oates, Chris W. and Peters, A. and Poli, Nicola and Rasel, E. M. and Rosi, Gabriele and Roura, A. and Salomon, C. and Schiller, S. and Schleich, W. P. and Schlippert, Dennis and Schreck, Florian and Schubert, C. and Sorrentino, F. and Sterr, Uwe and Thomsen, Jan W. and Vallone, Giuseppe and Vetrano, Flavio and Villoresi, Paolo and Klitzing, Wolf and Wilkowski, David and Wolf, P. and Ye, Jun and Yu, N. and Zhan, Mingsheng}, title = {SAGE: A proposal for a space atomic gravity explorer}, abstract = {The proposed mission “Space Atomic Gravity Explorer” (SAGE) has the scientific objective to investigate gravitational waves, dark matter, and other fundamental aspects of gravity as well as the connection between gravitational physics and quantum physics using new quantum sensors, namely, optical atomic clocks and atom interferometers based on ultracold strontium atoms.}, year = {2019}, issn = {1434-6079}, journal = {The European Physical Journal D}, volume = {73}, pages = {228}, number = {11}, file_url = {https://doi.org/10.1140/epjd/e2019-100324-6} } @Inproceedings { 470257326577_2019, author = {Scully, M. O. and Greenberger, D. M. and Schleich, W. P.}, title = {Time after time: From EPR to Wigner’s friend and quantum eraser}, year = {2019}, DOI = {10.3254/978-1-61499-937-9-119}, booktitle = {Foundations of quantum theory}, volume = {197}, publisher = {IOS Press}, address = {Amsterdam, Oxford, Tokyo, Washington DC}, series = {Proceedings of the International School of Physics \dqEnrico Fermi\dq}, editor = {E. M. Rasel, W. P. Schleich and S. W\{\"\{o\}\}lk}, pages = {119-132} } @Article { Meister_2019, author = {Meister, M. and Roura, A. and Rasel, E. M. and Schleich, W. P.}, title = {The space atom laser: an isotropic source for ultra-cold atoms in microgravity}, abstract = {Atom laser experiments with Bose–Einstein condensates (BECs) performed in ground-based laboratories feature a coherent and directed beam of atoms which is accelerated by gravity. In microgravity the situation is fundamentally different because the dynamics is entirely determined by the repulsive interaction between the atoms and not by the gravitational force. As a result, the output of a space atom laser is a spherical wave slowly expanding away from the initial BEC. We present a thorough theoretical study of this new source of matter waves based on rf outcoupling which exhibits an isotropic distribution both in position and momentum even for an initially anisotropic trap. The unique geometry of such a freely expanding, shell-shaped BEC offers new possibilities for matter waves in microgravity and is complementary to other matter-wave sources prepared by delta-kick collimation or adiabatic expansion. Our work paves the way for the upcoming experimental realization of a space atom laser making use of NASA’s Cold Atom Laboratory on the International Space Station.}, year = {2019}, month = {jan}, DOI = {10.1088/1367-2630/aaf7b5}, journal = {New Journal of Physics}, volume = {21}, publisher = {\{IOP\} Publishing}, pages = {013039}, number = {1}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2Faaf7b5} } @Article { Menzel:19, author = {Menzel, R. and Marx, R. and Puhlmann, D. and Heuer, A. and Schleich, W. P.}, title = {The photon: the role of its mode function in analyzing complementarity}, abstract = {We investigate the role of the spatial mode function in a single-photon experiment designed to demonstrate the principle of complementarity. Our approach employs entangled photons created by spontaneous parametric downconversion from a pump mode in a TEM01 mode together with a double slit. Measuring the interference of the signal photons behind the double slit in coincidence with the entangled idler photons at different positions, we select signal photons of different mode functions. When the signal photons belong to the TEM01-like double-hump mode, we obtain almost perfect visibility of the interference fringes, and no ``which slit'' information is available in the idler photon detected before the slits. This result is remarkable because the entangled signal and idler photon pairs are created each time in only one of the two intensity humps. However, when we break the symmetry between the two maxima of the signal photon mode structure, the paths through the slits for these additional photons become distinguishable and the visibility vanishes. It is the mode function of the photons selected by the detection system that decides if interference or ``which slit'' information is accessible in the experiment.}, year = {2019}, month = {Jun}, DOI = {10.1364/JOSAB.36.001668}, journal = {J. Opt. Soc. Am. B}, volume = {36}, publisher = {OSA}, pages = {1668--1675}, number = {6}, keywords = {Electric fields; Numerical simulation; Phase matching; Phase shift; Photonic entanglement; Photons}, file_url = {http://josab.osa.org/abstract.cfm?URI=josab-36-6-1668} } @Inproceedings { 112959514381_2019, author = {Scully, M. O. and Greenberger, D. M. and Kobe, D. H. and Schleich, W. P.}, title = {The linearity of quantum mechanics and the birth of the Schr\{\"\{o\}\}dinger equation}, year = {2019}, DOI = {10.3254/978-1-61499-937-9-47}, booktitle = {Foundations of quantum theory}, volume = {197}, publisher = {IOS Press}, address = {Amsterdam, Oxford, Tokyo, Washington DC}, series = {Proceedings of the International School of Physics \dqEnrico Fermi\dq}, editor = {E. M. Rasel, W. P. Schleich and S. W\{\"\{o\}\}lk}, pages = {47-79} } @Article { 320682864227_2019, author = {Bongs, K. and Holynski, Michael and Vovrosh, Jamie and Bouyer, P. and Condon, Gabriel and Rasel, E. and Schubert, C. and Schleich, W. P. and Roura, A.}, title = {Taking atom interferometric quantum sensors from the laboratory to real-world applications}, abstract = {Since the first proof-of-principle experiments over 25 years ago, atom interferometry has matured to a versatile tool that can be used in fundamental research in particle physics, general relativity and cosmology. At the same time, atom interferometers are currently moving out of the laboratory to be used as ultraprecise quantum sensors in metrology, geophysics, space, civil engineering, oil and minerals exploration, and navigation. This Perspective discusses the associated scientific and technological challenges and highlights recent advances.}, year = {2019}, issn = {2522-5820}, journal = {Nature Reviews Physics}, volume = {1}, pages = {731--739}, number = {12}, file_url = {https://doi.org/10.1038/s42254-019-0117-4} } @Article { PhysRevLett.123.083601, author = {Amit, O. and Margalit, Y. and Dobkowski, O. and Zhou, Z. and Japha, Y. and Zimmermann, M. and Efremov, M. A. and Narducci, F. A. and Rasel, E. M. and Schleich, W. P. and Folman, R.}, title = {T³ Stern-Gerlach Matter-Wave Interferometer}, year = {2019}, month = {Aug}, DOI = {10.1103/PhysRevLett.123.083601}, journal = {Phys. Rev. Lett.}, volume = {123}, publisher = {American Physical Society}, pages = {083601}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.123.083601} } @Article { PhysRevA.100.012709, author = {Happ, L. and Zimmermann, M. and Betelu, S. I. and Schleich, W. P. and Efremov, M. A.}, title = {Universality in a one-dimensional three-body system}, year = {2019}, month = {Jul}, DOI = {10.1103/PhysRevA.100.012709}, journal = {Phys. Rev. A}, volume = {100}, publisher = {American Physical Society}, pages = {012709}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.100.012709} } @Article { Zimmermann_2019, author = {Zimmermann, M. and Efremov, M. A. and Zeller, W. and Schleich, W. P. and Davis, J. P. and Narducci, F. A.}, title = {Representation-free description of atom interferometers in time-dependent linear potentials}, year = {2019}, month = {jul}, DOI = {10.1088/1367-2630/ab2e8c}, journal = {New Journal of Physics}, volume = {21}, publisher = {\{IOP\} Publishing}, pages = {073031}, number = {7}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2Fab2e8c} } @Inproceedings { 717500783967_2019, author = {Rasel, E. M. and Schleich, W. P. and W\{\"\{o\}\}lk, S.}, title = {Preface}, year = {2019}, booktitle = {Foundations of quantum theory}, volume = {197}, publisher = {IOS Press}, address = {Amsterdam, Oxford, Tokyo, Washington DC}, series = {Proceedings of the International School of Physics \dqEnrico Fermi\dq}, editor = {E. M. Rasel, W. P. Schleich and S. W\{\"\{o\}\}lk}, pages = {XV-XVIII} } @Inbook { 500290518377_2019, author = {Schleich, W. P.}, title = {Nachruf auf Ina R\{\"\{o\}\}sing}, year = {2019}, booktitle = {Jahrbuch 2018}, publisher = {Heidelberger Akademie der Wissenschaften}, pages = {212-215} } @Article { Lorianieaax8966, author = {Loriani, S. and Friedrich, A. and Ufrecht, C. and Di Pumpo, F. and Kleinert, S. and Abend, S. and Gaaloul, N. and Meiners, C. and Schubert, C. and Tell, D. and Wodey, \{\'\{E\}\}. and Zych, M. and Ertmer, W. and Roura, A. and Schlippert, D. and Schleich, W. P. and Rasel, E. M. and Giese, E.}, title = {Interference of clocks: A quantum twin paradox}, abstract = {The phase of matter waves depends on proper time and is therefore susceptible to special-relativistic (kinematic) and gravitational (redshift) time dilation. Hence, it is conceivable that atom interferometers measure general-relativistic time-dilation effects. In contrast to this intuition, we show that (i) closed light-pulse interferometers without clock transitions during the pulse sequence are not sensitive to gravitational time dilation in a linear potential. (ii) They can constitute a quantum version of the special-relativistic twin paradox. (iii) Our proposed experimental geometry for a quantum-clock interferometer isolates this effect.}, year = {2019}, DOI = {10.1126/sciadv.aax8966}, journal = {Science Advances}, volume = {5}, publisher = {American Association for the Advancement of Science}, pages = {eaax8966}, number = {10} } @Article { PhysRevA.99.053823, author = {Kling, P. and Giese, E. and Carmesin, C. M. and Sauerbrey, R. and Schleich, W. P.}, title = {High-gain quantum free-electron laser: Emergence and exponential gain}, year = {2019}, month = {May}, DOI = {10.1103/PhysRevA.99.053823}, journal = {Phys. Rev. A}, volume = {99}, publisher = {American Physical Society}, pages = {053823}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.99.053823} } @Inproceedings { 125694905901_2019, author = {Abend, S. and Gersemann, M. and Schubert, C. and Schlippert, D. and Rasel, E. M. and Zimmermann, M. and Efremov, M. A. and Roura, A. and Narducci, F. A. and Schleich, W. P.}, title = {Atom interferometry and its applications}, year = {2019}, DOI = {10.3254/978-1-61499-937-9-345}, booktitle = {Foundations of quantum theory}, volume = {197}, publisher = {IOS Press}, address = {Amsterdam, Oxford, Tokyo, Washington DC}, series = {Proceedings of the International School of Physics \dqEnrico Fermi\dq}, editor = {E. M. Rasel, W. P. Schleich and S. W\{\"\{o\}\}lk}, pages = {345-392} } @Article { PhysRevLett.122.124302, author = {Rozenman, G. G. and Zimmermann, M. and Efremov, M. A. and Schleich, W. P. and Shemer, L. and Arie, A.}, title = {Amplitude and Phase of Wave Packets in a Linear Potential}, year = {2019}, month = {Mar}, DOI = {10.1103/PhysRevLett.122.124302}, journal = {Phys. Rev. Lett.}, volume = {122}, publisher = {American Physical Society}, pages = {124302}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.122.124302} } @Article { PhysRevA.99.013627, author = {Giese, E. and Friedrich, A. and Di Pumpo, F. and Roura, A. and Schleich, W. P. and Greenberger, D. M. and Rasel, E. M.}, title = {Proper time in atom interferometers: Diffractive versus specular mirrors}, year = {2019}, month = {Jan}, DOI = {10.1103/PhysRevA.99.013627}, journal = {Phys. Rev. A}, volume = {99}, publisher = {American Physical Society}, pages = {013627}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.99.013627} } @Article { Scully8131, author = {Scully, M. O. and Fulling, S. and Lee, D. M. and Page, D. N. and Schleich, W. P. and Svidzinsky, A. A.}, title = {Quantum optics approach to radiation from atoms falling into a black hole}, abstract = {Using a combination of quantum optics and general relativity, we show that the radiation emitted by atoms falling into a black hole looks like, but is different from, Hawking radiation. This analysis also provides insight into the Einstein principle of equivalence between acceleration and gravity.We show that atoms falling into a black hole (BH) emit acceleration radiation which, under appropriate initial conditions, looks to a distant observer much like (but is different from) Hawking BH radiation. In particular, we find the entropy of the acceleration radiation via a simple laser-like analysis. We call this entropy horizon brightened acceleration radiation (HBAR) entropy to distinguish it from the BH entropy of Bekenstein and Hawking. This analysis also provides insight into the Einstein principle of equivalence between acceleration and gravity.}, year = {2018}, issn = {0027-8424}, DOI = {10.1073/pnas.1807703115}, journal = {Proceedings of the National Academy of Sciences}, volume = {115}, publisher = {National Academy of Sciences}, pages = {8131--8136}, number = {32} } @Article { Happ_2018, author = {Happ, L. and Efremov, M. A. and Nha, H. and Schleich, W. P.}, title = {Sufficient condition for a quantum state to be genuinely quantum non-Gaussian}, abstract = {We show that the expectation value of the operator defined by the position and momentum operators and with a positive parameter c can serve as a tool to identify quantum non-Gaussian states, that is states that cannot be represented as a mixture of Gaussian states. Our condition can be readily tested employing a highly efficient homodyne detection which unlike quantum-state tomography requires the measurements of only two orthogonal quadratures. We demonstrate that our method is even able to detect quantum non-Gaussian states with positive–definite Wigner functions. This situation cannot be addressed in terms of the negativity of the phase-space distribution. Moreover, we demonstrate that our condition can characterize quantum non-Gaussianity for the class of superposition states consisting of a vacuum and integer multiples of four photons under more than 50 {\%} signal attenuation.}, year = {2018}, month = {feb}, DOI = {10.1088/1367-2630/aaac25}, journal = {New Journal of Physics}, volume = {20}, publisher = {\{IOP\} Publishing}, pages = {023046}, number = {2}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2Faaac25} } @Article { Becker2018, author = {Becker, D. and Lachmann, M. D. and Seidel, S. T. and Ahlers, H. and Dinkelaker, A. N. and Grosse, J. and Hellmig, O. and M\{\"\{u\}\}ntinga, H. and Schkolnik, V. and Wendrich, T. and Wenzlawski, A. and Weps, B. and Corgier, R. and Franz, T. and Gaaloul, N. and Herr, W. and L\{\"\{u\}\}dtke, D. and Popp, M. and Amri, S. and Duncker, H. and Erbe, M. and Kohfeldt, A. and Kubelka-Lange, A. and Braxmaier, C. and Charron, E. and Ertmer, W. and Krutzik, M. and L\{\"\{a\}mmerzahl, C. and Peters, A. and Schleich, W. P. and Sengstock, K. and Walser, R. and Wicht, A. and Windpassinger, P. and Rasel, E. M.}, title = {Space-borne Bose-Einstein condensation for precision interferometry}, abstract = {Owing to the low-gravity conditions in space, space-borne laboratories enable experiments with extended free-fall times. Because Bose-Einstein condensates have an extremely low expansion energy, space-borne atom interferometers based on Bose-Einstein condensation have the potential to have much greater sensitivity to inertial forces than do similar ground-based interferometers. On 23 January 2017, as part of the sounding-rocket mission MAIUS-1, we created Bose-Einstein condensates in space and conducted 110 experiments central to matter-wave interferometry, including laser cooling and trapping of atoms in the presence of the large accelerations experienced during launch. Here we report on experiments conducted during the six minutes of in-space flight in which we studied the phase transition from a thermal ensemble to a Bose-Einstein condensate and the collective dynamics of the resulting condensate. Our results provide insights into conducting cold-atom experiments in space, such as precision interferometry, and pave the way to miniaturizing cold-atom and photon-based quantum information concepts for satellite-based implementation. In addition, space-borne Bose-Einstein condensation opens up the possibility of quantum gas experiments in low-gravity conditions1,2.}, year = {2018}, issn = {1476-4687}, DOI = {10.1038/s41586-018-0605-1}, journal = {Nature}, volume = {562}, pages = {391-395}, number = {7727}, file_url = {https://doi.org/10.1038/s41586-018-0605-1} } @Article { doi:10.1080/09500340.2018.1454525, author = {Agarwal, G. and Allen, R. E. and Bezd\{\v\{e\}\}kov\{\'\{a\}\}, I. and Boyd, R. W. and Chen, G. and Hanson, R. and Hawthorne, D. L. and Hemmer, P. and Kim, M. B. and Kocharovskaya, O. and Lee, D. M. and Lidstr\{\"\{o\}\}m, S. K. and Lidstr\{\"\{o\}\}m, S. and Losert, H. and Maier, H. and Neuberger, J. W. and Padgett, M. J. and Raizen, M. and Rajendran, S. and Rasel, E. and Schleich, W. P. and Scully, M. O. and Shchedrin, G. and Shvets, G. and Sokolov, A. V. and Svidzinsky, A. and Walsworth, R. L. and Weiss, R. and Wilczek, F. and Willner, A. E. and Yablonovitch, E. and Zheludev, N.}, title = {Light, the universe and everything – 12 Herculean tasks for quantum cowboys and black diamond skiers}, year = {2018}, DOI = {10.1080/09500340.2018.1454525}, journal = {Journal of Modern Optics}, volume = {65}, publisher = {Taylor \{\\&\} Francis}, pages = {1261-1308}, number = {11} } @Article { Gleisberg_2018, author = {Gleisberg, F. and Di Pumpo, F. and Wolff, G. and Schleich, W. P.}, title = {Prime factorization of arbitrary integers with a logarithmic energy spectrum}, abstract = {We propose an iterative scheme to factor numbers based on the quantum dynamics of an ensemble of interacting bosonic atoms stored in a trap where the single-particle energy spectrum depends logarithmically on the quantum number. When excited by a time-dependent interaction these atoms perform Rabi oscillations between the ground state and an energy state characteristic of the factors. The number to be factored is encoded into the frequency of the sinusoidally modulated interaction. We show that a measurement of the energy of the atoms at a time chosen at random yields the factors with probability one half. We conclude by discussing a protocol to obtain the desired prime factors employing a logarithmic energy spectrum which consists of prime numbers only.}, year = {2018}, month = {jan}, DOI = {10.1088/1361-6455/aa9957}, journal = {Journal of Physics B: Atomic, Molecular and Optical Physics}, volume = {51}, publisher = {\{IOP\} Publishing}, pages = {035009}, number = {3}, file_url = {https://doi.org/10.1088{\%}2F1361-6455{\%}2Faa9957} } @Article { doi:10.1080/09500340.2018.1511860, author = {Nessler, R. and Eleuch, H. and Schleich, W. P. and Scully, M. O.}, title = {Gain in single and paired parametric oscillators}, year = {2018}, DOI = {10.1080/09500340.2018.1511860}, journal = {Journal of Modern Optics}, publisher = {Taylor \{\\&\} Francis}, pages = {1-8} } @Article { Schleich_2018, author = {Schleich, W. P. and Bezd\{\v\{e\}\}kov\{\'\{a\}\}, I. and Kim, M. B. and Abbott, P. C. and Maier, H. and Montgomery, H. L. and Neuberger, J. W.}, title = {Equivalent formulations of the Riemann hypothesis based on lines of constant phase}, abstract = {We prove the equivalence of three formulations of the Riemann hypothesis for functions f defined by the four assumptions: (a 1) f satisfies the functional equation f(1 − s) = f(s) for the complex argument s ≡ σ + iτ, (a2) f is free of any pole, (a3) for large positive values of σ the phase θ of f increases in a monotonic way without a bound as τ increases, and (a4) the zeros of f as well as of the first derivative f ′ of f are simple zeros. The three equivalent formulations are: (R1) All zeros of f are located on the critical line σ = 1/2, (R2) All lines of constant phase of f corresponding to merge with the critical line, and (R3) All points where f ′ vanishes are located on the critical line, and the phases of f at two consecutive zeros of f ′ differ by π. Our proof relies on the topology of the lines of constant phase of f dictated by complex analysis and the assumptions (a1)–(a4). Moreover, we show that (R2) implies (R1) even in the absence of (a4). In this case (a4) is a consequence of (R2).}, year = {2018}, month = {may}, DOI = {10.1088/1402-4896/aabca9}, journal = {Physica Scripta}, volume = {93}, publisher = {\{IOP\} Publishing}, pages = {065201}, number = {6}, file_url = {https://doi.org/10.1088{\%}2F1402-4896{\%}2Faabca9} } @Article { Goncalves2017, author = {Gon\{\c\{c\}\}alves, M. R. and Case, W. B. and Arie, A. and Schleich, W. P.}, title = {Single-slit focusing and its representations}, abstract = {We illustrate the phenomenon of the focusing of a freely propagating rectangular wave packet using three different tools: (1) the time-dependent wave function in position space, (2) the Wigner phase-space approach, and (3) an experiment using laser light.}, year = {2017}, month = {Mar}, day = {30}, issn = {1432-0649}, DOI = {10.1007/s00340-017-6675-1}, journal = {Applied Physics B}, volume = {123}, pages = {121}, number = {4}, file_url = {https://doi.org/10.1007/s00340-017-6675-1} } @Article { Zimmermann2017, author = {Zimmermann, M. and Efremov, M. A. and Roura, A. and Schleich, W. P. and DeSavage, S. A. and Davis, J. P. and Srinivasan, A. and Narducci, F. A. and Werner, S. A. and Rasel, E. M.}, title = {T³-Interferometer for atoms}, abstract = {The quantum mechanical propagator of a massive particle in a linear gravitational potential derived already in 1927 by Kennard [2, 3] contains a phase that scales with the third power of the time T during which the particle experiences the corresponding force. Since in conventional atom interferometers the internal atomic states are all exposed to the same acceleration a, this \{\\$\}\{\\$\}T^3\{\\$\}\{\\$\}T3-phase cancels out and the interferometer phase scales as \{\\$\}\{\\$\}T^2\{\\$\}\{\\$\}T2. In contrast, by applying an external magnetic field we prepare two different accelerations \{\\$\}\{\\$\}a\{\\_\}1\{\\$\}\{\\$\}a1and \{\\$\}\{\\$\}a\{\\_\}2\{\\$\}\{\\$\}a2for two internal states of the atom, which translate themselves into two different cubic phases and the resulting interferometer phase scales as \{\\$\}\{\\$\}T^3\{\\$\}\{\\$\}T3. We present the theoretical background for, and summarize our progress towards experimentally realizing such a novel atom interferometer.}, year = {2017}, month = {Mar}, day = {20}, issn = {1432-0649}, DOI = {10.1007/s00340-017-6655-5}, journal = {Applied Physics B}, volume = {123}, pages = {102}, number = {4}, file_url = {https://doi.org/10.1007/s00340-017-6655-5} } @Article { 245993284755_2017, author = {Schleich, W. P.}, title = {Zum Gedenken an Georg S\{\"\{u\}\}\{\"\{s\}\}mann – Ein Leben f\{\"\{u\}\}r die Wissenschaft}, year = {2017}, journal = {Physik Journal}, volume = {16}, number = {8-9} } @Article { doi:10.1002/prop.201600092, author = {Ben-Benjamin, J. S. and Kim, M. B. and Schleich, W. P. and Case, W. B. and Cohen, L.}, title = {Working in phase-space with Wigner and Weyl}, abstract = {Quantum phase-space distributions offer a royal road into the fascinating quantum–classical interface; the Wigner function being the first and best example. However, the subject is frequent with subtleties and textbook-level misinformation; e.g. “The Wigner distribution can give wrong answers for some operator expectation values” . Since the Wigner distribution is just another representation of the density matrix, it must yield correct answers. To that end, Marlan Scully has asked at several international conferences (the 2015 Prague conference being one of them) the following question: “Starting with the density matrix (not the Moyal characteristic function), could you give me a simple direct derivation of the Wigner distribution?” Section contains his answer. In Appendix D, we give a related treatment and make contact with other approaches. We hope that as a result of our studies, the Wigner distribution will become more deeply appreciated.}, year = {2017}, DOI = {10.1002/prop.201600092}, journal = {Fortschritte der Physik}, volume = {65}, pages = {1600092}, number = {6-8}, keywords = {Phase space quantum mechanics, Wigner Weyl distribution, Wigner Weyl symmetric ordering, Weyl and its inverse transform, operator symbol correspondence}, file_url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/prop.201600092} } @Article { doi:10.1002/prop.201700015, author = {Bohm, A. and Bryant, P. W. and Uncu, H. and Wickramasekara, S. and Schleich, W. P.}, title = {The beginning of time observed in quantum jumps}, abstract = {The phenomenon of quantum jumps observed in a single ion stored in a trap brings to light intimate connections between three different concepts of quantum physics: (i) quantum state trajectories, (ii) Gamow states, and (iii) the arrow of time. In particular, it allows us to identify the starting time of the semigroup time evolution.}, year = {2017}, DOI = {10.1002/prop.201700015}, journal = {Fortschritte der Physik}, volume = {65}, pages = {1700015}, number = {6-8}, file_url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/prop.201700015} } @Article { PhysRevLett.118.154301, author = {Weisman, D. and Fu, S. and Goncalves, M. and Shemer, L. and Zhou, J. and Schleich, W. P. and Arie, A.}, title = {Diffractive Focusing of Waves in Time and in Space}, year = {2017}, month = {Apr}, DOI = {10.1103/PhysRevLett.118.154301}, journal = {Phys. Rev. Lett.}, volume = {118}, publisher = {American Physical Society}, pages = {154301}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.118.154301} } @Article { PhysRevA.96.013827, author = {Zhang, L. and Agarwal, G. S. and Schleich, W. P. and Scully, M. O.}, title = {Hidden PT symmetry and quantization of a coupled-oscillator model of quantum amplification by superradiant emission of radiation}, year = {2017}, month = {Jul}, DOI = {10.1103/PhysRevA.96.013827}, journal = {Phys. Rev. A}, volume = {96}, publisher = {American Physical Society}, pages = {013827}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.96.013827} } @Article { Ufrecht_2017, author = {Ufrecht, C. and Meister, M. and Roura, A. and Schleich, W. P.}, title = {Comprehensive classification for Bose-Fermi mixtures}, abstract = {We present analytical studies of a trapped boson-fermion mixture at zero temperature with spin-polarized fermions. Using the Thomas–Fermi approximation for bosons and the local-density approximation for fermions, we find a large variety of different density shapes. In the case of continuous density, we obtain analytic conditions for each configuration for attractive as well as repulsive boson-fermion interaction. Furthermore, we analytically show that all the scenarios we describe are minima of the grand-canonical energy functional. Finally, we provide a full classification of all possible ground states in the interpenetrative regime. Our results also apply to binary mixtures of bosons.}, year = {2017}, month = {aug}, DOI = {10.1088/1367-2630/aa7814}, journal = {New Journal of Physics}, volume = {19}, publisher = {\{IOP\} Publishing}, pages = {085001}, number = {8}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2Faa7814} } @Incollection { MEISTER2017375, author = {Meister, M. and Arnold, St. and Moll, D. and Eckart, M. and Kajari, E. and Efremov, M. A. and Walser, R. and Schleich, W. P.}, title = {Chapter Six - Efficient Description of Bose–Einstein Condensates in Time-Dependent Rotating Traps}, abstract = {Quantum sensors based on matter-wave interferometry are promising candidates for high-precision gravimetry and inertial sensing in space. The favorable sources for the coherent matter waves in these devices are Bose–Einstein condensates. A reliable prediction of their dynamics, which is governed by the Gross–Pitaevskii equation, requires suitable analytical and numerical methods, which take into account the center-of-mass motion of the condensate, its rotation, and its spatial expansion by many orders of magnitude. In this chapter, we present an efficient way to study their dynamics in time-dependent rotating traps that meet this objective. Both an approximate analytical solution for condensates in the Thomas–Fermi regime and dedicated numerical simulations on a variable adapted grid are discussed. We contrast and relate our approach to previous alternative methods and provide further results, such as analytical expressions for the one- and two-dimensional spatial density distributions and the momentum distribution in the long-time limit that are of immediate interest to experimentalists working in this field of research.}, year = {2017}, issn = {1049-250X}, DOI = {https://doi.org/10.1016/bs.aamop.2017.03.006}, volume = {66}, publisher = {Academic Press}, series = {Advances In Atomic, Molecular, and Optical Physics}, editor = {Ennio Arimondo and Chun C. Lin and Susanne F. Yelin}, pages = {375 - 438}, keywords = {Bose–Einstein condensate, Gross–Pitaevskii equation, Thomas–Fermi approximation, Scaling approach, Time-dependent rotating trap, Numerical simulation, Hamiltonian formalism, Integrated density distribution}, file_url = {http://www.sciencedirect.com/science/article/pii/S1049250X17300174} } @Article { Kim_2017, author = {Kim, M. B. and Neuberger, J. W. and Schleich, W. P.}, title = {A perfect memory makes the continuous Newton method look ahead}, abstract = {Hauser and Nedi\{\c\} (2005 SIAM J. Optim. 15 915) have pointed out an intriguing property of a perturbed flow line generated by the continuous Newton method: it returns to the unperturbed one once the perturbation ceases to exist. We show that this feature is a direct consequence of the phase being constant along any Newton trajectory, that is, once a phase always that phase.}, year = {2017}, month = {jul}, DOI = {10.1088/1402-4896/aa7ae3}, journal = {Physica Scripta}, volume = {92}, publisher = {\{IOP\} Publishing}, pages = {085201}, number = {8}, file_url = {https://doi.org/10.1088{\%}2F1402-4896{\%}2Faa7ae3} } @Article { Kling2016, author = {Kling, P. and Sauerbrey, R. and Preiss, P. and Giese, E. and Endrich, R. and Schleich, W. P.}, title = {Quantum regime of a free-electron laser: relativistic approach}, abstract = {In the quantum regime of the free-electron laser, the dynamics of the electrons is not governed by continuous trajectories but by discrete jumps in momentum. In this article, we rederive the two crucial conditions to enter this quantum regime: (1) a large quantum mechanical recoil of the electron caused by the scattering with the laser and the wiggler field and (2) a small energy spread of the electron beam. In contrast to our recent approach based on nonrelativistic quantum mechanics in a co-moving frame of reference, we now pursue a model in the laboratory frame employing relativistic quantum electrodynamics.}, year = {2016}, month = {Dec}, day = {15}, issn = {1432-0649}, DOI = {10.1007/s00340-016-6571-0}, journal = {Applied Physics B}, volume = {123}, pages = {9}, number = {1}, file_url = {https://doi.org/10.1007/s00340-016-6571-0} } @Article { PhysRevLett.117.203003, author = {Abend, S. and Gebbe, M. and Gersemann, M. and Ahlers, H. and M\{\"\{u\}\}ntinga, H. and Giese, E. and Gaaloul, N. and Schubert, C. and L\{\"\{a\}mmerzahl, C. and Ertmer, W. and Schleich, W. P. and Rasel, E. M.}, title = {Atom-Chip Fountain Gravimeter}, year = {2016}, month = {Nov}, DOI = {10.1103/PhysRevLett.117.203003}, journal = {Phys. Rev. Lett.}, volume = {117}, publisher = {American Physical Society}, pages = {203003}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.117.203003} } @Article { PhysRevLett.116.173601, author = {Ahlers, H. and M\{\"\{u\}\}ntinga, H. and Wenzlawski, A. and Krutzik, M. and Tackmann, G. and Abend, S. and Gaaloul, N. and Giese, E. and Roura, A. and Kuhl, R. and L\{\"\{a\}mmerzahl, C. and Peters, A. and Windpassinger, P. and Sengstock, K. and Schleich, W. P. and Ertmer, W. and Rasel, E. M.}, title = {Double Bragg Interferometry}, year = {2016}, month = {Apr}, DOI = {10.1103/PhysRevLett.116.173601}, journal = {Phys. Rev. Lett.}, volume = {116}, publisher = {American Physical Society}, pages = {173601}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.116.173601} } @Article { PhysRevA.94.063619, author = {Giese, E. and Friedrich, A. and Abend, S. and Rasel, E. M. and Schleich, W. P.}, title = {Light shifts in atomic Bragg diffraction}, year = {2016}, month = {Dec}, DOI = {10.1103/PhysRevA.94.063619}, journal = {Phys. Rev. A}, volume = {94}, publisher = {American Physical Society}, pages = {063619}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.94.063619} } @Article { Kaltenbaek2016, author = {Kaltenbaek, R. and Aspelmeyer, M. and Barker, P. F. and Bassi, A. and Bateman, J. and Bongs, K. and Bose, S. and Braxmaier, C. and Brukner, C. and Christophe, B. and Chwalla, M. and Cohadon, P.-F. and Cruise, A. M. and Curceanu, C. and Dholakia, K. and Di\{\'\{o\}\}si, L. and D\{\"\{o\}\}ringshoff, K. and Ertmer, W. and Gieseler, J. and G\{\"\{u\}\}rlebeck, N. and Hechenblaikner, G. and Heidmann, A. and Herrmann, S. and Hossenfelder, S. and Johann, U. and Kiesel, N. and Kim, M. and L\{\"\{a\}mmerzahl, C. and Lambrecht, A. and Mazilu, M. and Milburn, G. J. and M\{\"\{u\}\}ller, H. and Novotny, L. and Paternostro, M. and Peters, A. and Pikovski, I. and Pilan Zanoni, A. and Rasel, E. M. and Reynaud, S. and Riedel, C. J. and Rodrigues, M. and Rondin, L. and Roura, A. and Schleich, W. P. and Schmiedmayer, J. and Schuldt, T. and Schwab, K. C. and Tajmar, M. and Tino, G. M. and Ulbricht, H. and Ursin, R. and Vedral, V.}, title = {Macroscopic Quantum Resonators (MAQRO): 2015 update}, abstract = {Do the laws of quantum physics still hold for macroscopic objects?- this is at the heart of Schr\{\"\{o\}\}dinger's cat paradox?- or do gravitation or yet unknown effects set a limit for massive particles? What is the fundamental relation between quantum physics and gravity? Ground-based experiments addressing these questions may soon face limitations due to limited free-fall times and the quality of vacuum and microgravity. The proposed mission Macroscopic Quantum Resonators (MAQRO) may overcome these limitations and allow addressing such fundamental questions. MAQRO harnesses recent developments in quantum optomechanics, high-mass matter-wave interferometry as well as state-of-the-art space technology to push macroscopic quantum experiments towards their ultimate performance limits and to open new horizons for applying quantum technology in space. The main scientific goal is to probe the vastly unexplored 'quantum-classical' transition for increasingly massive objects, testing the predictions of quantum theory for objects in a size and mass regime unachievable in ground-based experiments. The hardware will largely be based on available space technology. Here, we present the MAQRO proposal submitted in response to the 4th Cosmic Vision call for a medium-sized mission (M4) in 2014 of the European Space Agency (ESA) with a possible launch in 2025, and we review the progress with respect to the original MAQRO proposal for the 3rd Cosmic Vision call for a medium-sized mission (M3) in 2010. In particular, the updated proposal overcomes several critical issues of the original proposal by relying on established experimental techniques from high-mass matter-wave interferometry and by introducing novel ideas for particle loading and manipulation. Moreover, the mission design was improved to better fulfill the stringent environmental requirements for macroscopic quantum experiments.}, year = {2016}, issn = {2196-0763}, DOI = {10.1140/epjqt/s40507-016-0043-7}, journal = {EPJ Quantum Technology}, volume = {3}, pages = {5}, number = {1}, file_url = {https://doi.org/10.1140/epjqt/s40507-016-0043-7} } @Inbook { Schleich2016, author = {Schleich, W. P.}, title = {Wave-Particle Dualism in Action}, abstract = {The wave-particle dualism, that is the wave nature of particles and the particle nature of light together with the uncertainty relation of Werner Heisenberg and the principle of complementarity formulated by Niels Bohr represent pillars of quantum theory. We provide an introduction into these fascinating yet strange aspects of the microscopic world and summarize key experiments confirming these concepts so alien to our daily life.}, year = {2016}, isbn = {978-3-319-31903-2}, DOI = {10.1007/978-3-319-31903-2\_19}, publisher = {Springer International Publishing}, address = {Cham}, editor = {M. D. Al-Amri, M. El-Gomati and M. S. Zubairy}, pages = {483--504}, file_url = {https://doi.org/10.1007/978-3-319-31903-2\_19} } @Article { KLEINERT20151, author = {Kleinert, S. and Kajari, E. and Roura, A. and Schleich, W. P.}, title = {Representation-free description of light-pulse atom interferometry including non-inertial effects}, abstract = {Light-pulse atom interferometers rely on the wave nature of matter and its manipulation with coherent laser pulses. They are used for precise gravimetry and inertial sensing as well as for accurate measurements of fundamental constants. Reaching higher precision requires longer interferometer times which are naturally encountered in microgravity environments such as drop-tower facilities, sounding rockets and dedicated satellite missions aiming at fundamental quantum physics in space. In all those cases, it is necessary to consider arbitrary trajectories and varying orientations of the interferometer set-up in non-inertial frames of reference. Here we provide a versatile representation-free description of atom interferometry entirely based on operator algebra to address this general situation. We show how to analytically determine the phase shift as well as the visibility of interferometers with an arbitrary number of pulses including the effects of local gravitational accelerations, gravity gradients, the rotation of the lasers and non-inertial frames of reference. Our method conveniently unifies previous results and facilitates the investigation of novel interferometer geometries.}, year = {2015}, issn = {0370-1573}, DOI = {https://doi.org/10.1016/j.physrep.2015.09.004}, journal = {Physics Reports}, volume = {605}, pages = {1 - 50}, keywords = {Atom interferometry, Quantum optics}, file_url = {http://www.sciencedirect.com/science/article/pii/S0370157315003968}, note = {Representation-free description of light-pulse atom interferometry including non-inertial effects} } @Article { Kling_2015, author = {Kling, P. and Giese, E. and Endrich, R. and Preiss, P. and Sauerbrey, R. and Schleich, W. P.}, title = {What defines the quantum regime of the free-electron laser?}, abstract = {The quantum regime of the free-electron laser (FEL) emerges when the discreteness of the momentum of the electron plays a dominant role in the interaction with the laser and the wiggler field. Motivated by a heuristic phase space approach we pursue two different routes to define the transition from the classical FEL to the quantum domain: (i) standard perturbation theory and (ii) the method of averaging. Moreover, we discuss the experimental requirements for realizing a Quantum FEL and connect them to today's capabilities.}, year = {2015}, month = {dec}, DOI = {10.1088/1367-2630/17/12/123019}, journal = {New Journal of Physics}, volume = {17}, publisher = {\{IOP\} Publishing}, pages = {123019}, number = {12}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F17{\%}2F12{\%}2F123019} } @Article { Paul_2015, author = {Paul, H. and Greenberger, D. M. and Stenholm, S. T. and Schleich, W. P.}, title = {The Stefan-Boltzmann law: two classical laws give a quantum one}, abstract = {Due to the universality of blackbody radiation the constant in the Stefan–Boltzmann law connecting the energy density and temperature of blackbody radiation is either a universal constant, or built out of several universal constants. Since the Stefan–Boltzmann law follows from thermodynamics and classical electrodynamics this constant must involve the speed of light and the Boltzmann constant. However, a dimensional analysis points to the existence of an additional universal constant not present in the two classical theories giving birth to the Stefan–Boltzmann law. In the most elementary version this constant has the dimension of an action and is thereby proportional to Planck’s constant. We point out this unusual phenomenon of the combination of two classical laws creating a quantum law and speculate about its deeper origin.}, year = {2015}, month = {oct}, DOI = {10.1088/0031-8949/2015/t165/014027}, journal = {Physica Scripta}, volume = {T165}, publisher = {\{IOP\} Publishing}, pages = {014027}, file_url = {https://doi.org/10.1088{\%}2F0031-8949{\%}2F2015{\%}2Ft165{\%}2F014027} } @Article { Neuberger_2015, author = {Neuberger, J. W. and Feiler, C. and Maier, H. and Schleich, W. P.}, title = {The Riemann hypothesis illuminated by the Newton flow of ζ*}, abstract = {We analyze the Newton flow of the Riemann zeta function ζ and rederive in an elementary way the Riemann–von Mangoldt estimate of the number of non-trivial zeros below a given imaginary part. The representation of the flow on the Riemann sphere highlights the importance of the North pole as the starting and turning point of the separatrices, that is of the continental divides of the Newton flow. We argue that the resulting patterns may lead to deeper insight into the Riemann hypothesis. For this purpose we also compare and contrast the Newton flow of ζ with that of a function which in many ways is similar to ζ, but violates the Riemann hypothesis.}, year = {2015}, month = {oct}, DOI = {10.1088/0031-8949/90/10/108015}, journal = {Physica Scripta}, volume = {90}, publisher = {\{IOP\} Publishing}, pages = {108015}, number = {10}, file_url = {https://doi.org/10.1088{\%}2F0031-8949{\%}2F90{\%}2F10{\%}2F108015} } @Article { D_m_t_r_2015, author = {D\{\"\{o\}\}m\{\"\{o\}\}t\{\"\{o\}\}r, P. and F\{\"\{o\}\}ldi, P. and Benedict, M. G. and Shore, B. W. and Schleich, W. P.}, title = {Scattering of a particle with internal structure from a single slit: exact numerical solutions}, abstract = {Scattering of a quantum particle with internal structure is fundamentally different from that of a point particle and shows quantum effects such as the modification of transmission due to tunnelling and trapping of the particle. As in a preceding paper (Shore et al 2014 New J. Phys. 17 013046) we consider a model of a symmetric, rigid rotor travelling through an aperture in a thin but impenetrable screen which is perpendicular to both the direction of motion and the rotation axis. We determine the quantum mechanical properties of this two-dimensional geometrical model using a quasi one-dimensional scattering problem with unconventional boundaries. Our calculations rely on finding the Green's function, which has a direct connection to the scattering matrix. Evaluated on a discrete lattice the Hamiltonian is \grqdressed’ by a self-energy correction that takes into account the open boundary conditions in an exact way. We find that the passage through the aperture can be suppressed or enhanced as a result of the rotational motion. These effects manifest themselves through resonances in the transmission probability as a function of incident energy and symmetry of the incident wavefunction. We determine the density-of-states to reveal the mode structure of resonant states and to exhibit the lifetimes of temporary trapping within the aperture.}, year = {2015}, month = {feb}, DOI = {10.1088/1367-2630/17/2/023044}, journal = {New Journal of Physics}, volume = {17}, publisher = {\{IOP\} Publishing}, pages = {023044}, number = {2}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F17{\%}2F2{\%}2F023044} } @Article { Shore_2015, author = {Shore, B. W. and D\{\"\{o\}\}m\{\"\{o\}\}t\{\"\{o\}\}r, P. and Sadurn\{\'\{i\}\}, E. and S\{\"\{u\}\}\{\"\{s\}\}mann, G. and Schleich, W. P.}, title = {Scattering of a particle with internal structure from a single slit}, abstract = {Classically, rigid objects with elongated shapes can fit through apertures only when properly aligned. Quantum-mechanical particles which have internal structure (e.g. a diatomic molecule) also are affected during attempts to pass through small apertures, but there are interesting differences with classical structured particles. We illustrate here some of these differences for ultra-slow particles. Notably, we predict resonances that correspond to prolonged delays of the rotor within the aperture\{--\}a trapping phenomenon not found classically.}, year = {2015}, month = {jan}, DOI = {10.1088/1367-2630/17/1/013046}, journal = {New Journal of Physics}, volume = {17}, publisher = {\{IOP\} Publishing}, pages = {013046}, number = {1}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F17{\%}2F1{\%}2F013046} } @Article { Schleich_2015, author = {Schleich, W. P. and Greenberger, D. M. and Kobe, D. H. and Scully, M. O.}, title = {A wave equation interpolating between classical and quantum mechanics}, abstract = {We derive a \grqmaster’ wave equation for a family of complex-valued waves whose phase dynamics is dictated by the Hamilton–Jacobi equation for the classical action . For a special choice of the dynamics of the amplitude R which eliminates all remnants of classical mechanics associated with our wave equation reduces to the Schr\{\"\{o\}\}dinger equation. In this case the amplitude satisfies a Schr\{\"\{o\}\}dinger equation analogous to that of a charged particle in an electromagnetic field where the roles of the scalar and the vector potentials are played by the classical energy and the momentum, respectively. In general this amplitude is complex and thereby creates in addition to the classical phase a quantum phase. Classical statistical mechanics, as described by a classical matter wave, follows from our wave equation when we choose the dynamics of the amplitude such that it remains real for all times. Our analysis shows that classical and quantum matter waves are distinguished by two different choices of the dynamics of their amplitudes rather than two values of Planck’s constant.}, year = {2015}, month = {sep}, DOI = {10.1088/0031-8949/90/10/108009}, journal = {Physica Scripta}, volume = {90}, publisher = {\{IOP\} Publishing}, pages = {108009}, number = {10}, file_url = {https://doi.org/10.1088{\%}2F0031-8949{\%}2F90{\%}2F10{\%}2F108009} } @Report { 487885017213_2015, title = {Perspektiven der Quantentechnologien}, year = {2015}, isbn = {978-3-8047-3343-5}, booktitle = {Perspektiven der Quantentechnologien}, publisher = {Nationale Akademie der Wissenschaften Leopoldina, acatech - Deutsche Akademie der Technikwissenschaften, Union der deutschen Akademien der Wissenschaften}, address = {Halle (Saale)}, pages = {64} } @Article { GLEISBERG20152556, author = {Gleisberg, F. and Volpp, M. and Schleich, W. P.}, title = {Factorization with a logarithmic energy spectrum of a two-dimensional potential}, abstract = {We propose a method to factor numbers using a single particle caught in a separable two-dimensional potential with a logarithmic energy spectrum. The particle initially prepared in the ground state is excited with high probability by a sinusoidally time-dependent perturbation into a state whose two quantum numbers represent the factors of a number encoded in the frequency of the perturbation. We discuss the limitations of our method arising from off-resonant transitions and from decoherence.}, year = {2015}, issn = {0375-9601}, DOI = {https://doi.org/10.1016/j.physleta.2015.05.038}, journal = {Physics Letters A}, volume = {379}, pages = {2556 - 2560}, number = {40}, keywords = {Number theory, Trapped particle, Factorization protocol}, file_url = {http://www.sciencedirect.com/science/article/pii/S0375960115005137} } @Article { Feiler_2015, author = {Feiler, C. and Schleich, W. P.}, title = {Dirichlet series as interfering probability amplitudes for quantum measurements}, abstract = {We show that all Dirichlet series, linear combinations of them and their analytical continuations represent probability amplitudes for measurements on time-dependent quantum systems. In particular, we connect an arbitrary Dirichlet series to the time evolution of an appropriately prepared quantum state in a non-linear oscillator with logarithmic energy spectrum. However, the realization of a superposition of two Dirichlet sums and its analytical continuation requires two quantum systems which are entangled, and a joint measurement. We illustrate our approach of implementing arbitrary Dirichlet series in quantum systems using the example of the Riemann zeta function and relate its non-trivial zeros to the interference of two quantum states reminiscent of a Schr\{\"\{o\}\}dinger cat.}, year = {2015}, month = {jun}, DOI = {10.1088/1367-2630/17/6/063040}, journal = {New Journal of Physics}, volume = {17}, publisher = {\{IOP\} Publishing}, pages = {063040}, number = {6}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F17{\%}2F6{\%}2F063040} } @Article { Leuchs_2015, author = {Leuchs, G. and Glauber, R. J. and Schleich, W. P.}, title = {Dimension of quantum phase space measured by photon correlations}, abstract = {We show that the different values 1, 2 and 3 of the normalized second-order correlation function corresponding to a coherent state, a thermal state and a highly squeezed vacuum originate from the different dimensionality of these states in phase space. In particular, we derive an exact expression for in terms of the ratio of the moments of the classical energy evaluated with the Wigner function of the quantum state of interest and corrections proportional to the reciprocal of powers of the average number of photons. In this way we establish a direct link between and the shape of the state in phase space. Moreover, we illuminate this connection by demonstrating that in the semi-classical limit the familiar photon statistics of a thermal state arise from an area in phase space weighted by a two-dimensional Gaussian, whereas those of a highly squeezed state are governed by a line-integral of a one-dimensional Gaussian.}, year = {2015}, month = {jun}, DOI = {10.1088/0031-8949/90/7/074066}, journal = {Physica Scripta}, volume = {90}, publisher = {\{IOP\} Publishing}, pages = {074066}, number = {7}, file_url = {https://doi.org/10.1088{\%}2F0031-8949{\%}2F90{\%}2F7{\%}2F074066} } @Article { PhysRevLett.114.063002, author = {Berg, P. and Abend, S. and Tackmann, G. and Schubert, C. and Giese, E. and Schleich, W. P. and Narducci, F. A. and Ertmer, W. and Rasel, E. M.}, title = {Composite-Light-Pulse Technique for High-Precision Atom Interferometry}, year = {2015}, month = {Feb}, DOI = {10.1103/PhysRevLett.114.063002}, journal = {Phys. Rev. Lett.}, volume = {114}, publisher = {American Physical Society}, pages = {063002}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.114.063002} } @Article { Leuchs_2015, author = {Leuchs, G. and Glauber, R. J. and Schleich, W. P.}, title = {Intensity-intensity correlations determined by dimension of quantum state in phase space: P-distribution}, abstract = {We use the P-distribution to show that the familiar values 1, 2 and 3 of the normalized second order correlation function at equal times corresponding to a coherent state, a thermal state and a highly squeezed vacuum are a consequence of the number of dimensions these states take up in quantum phase space. Whereas the thermal state exhibits rotational symmetry and thus extends over two dimensions, the squeezed vacuum factorizes into two independent one-dimensional phase space variables, and in the limit of large squeezing is therefore a one-dimensional object. The coherent state is a point in the phase space of the P-distribution and thus has zero dimensions. The fact that for photon number states the P-distribution is even narrower than that of the zero-dimensional coherent state suggests the notion of \grqnegative’ dimensions.}, year = {2015}, month = {sep}, DOI = {10.1088/0031-8949/90/10/108007}, journal = {Physica Scripta}, volume = {90}, publisher = {\{IOP\} Publishing}, pages = {108007}, number = {10}, file_url = {https://doi.org/10.1088{\%}2F0031-8949{\%}2F90{\%}2F10{\%}2F108007} } @Article { PhysRevLett.112.203002, author = {Schlippert, D. and Hartwig, J. and Albers, H. and Richardson, L. L. and Schubert, C. and Roura, A. and Schleich, W. P. and Ertmer, W. and Rasel, E. M.}, title = {Quantum Test of the Universality of Free Fall}, year = {2014}, month = {May}, DOI = {10.1103/PhysRevLett.112.203002}, journal = {Phys. Rev. Lett.}, volume = {112}, publisher = {American Physical Society}, pages = {203002}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.112.203002} } @Article { 426710956632_2014, author = {Schleich, W. P. and Rasel, E.}, title = {Viewpoint: Neutrons knock at the cosmic door}, year = {2014}, journal = {Physics}, volume = {7}, pages = {39} } @Article { Aguilera_2014, author = {Aguilera, D. N. and Ahlers, H. and Battelier, B. and Bawamia, A. and Bertoldi, A. and Bondarescu, R. and Bongs, K. and Bouyer, P. and Braxmaier, C. and Cacciapuoti, L. and Chaloner, C. and Chwalla, M. and Ertmer, W. and Franz, M. and Gaaloul, N. and Gehler, M. and Gerardi, D. and Gesa, L. and G\{\"\{u\}\}rlebeck, N. and Hartwig, J. and Hauth, M. and Hellmig, O. and Herr, W. and Herrmann, S. and Heske, A. and Hinton, A. and Ireland, P. and Jetzer, P. and Johann, U. and Krutzik, M. and Kubelka, A. and L\{\"\{a\}mmerzahl, C. and Landragin, A. and Lloro, I. and Massonnet, D. and Mateos, I. and Milke, A. and Nofrarias, M. and Oswald, M. and Peters, A. and Posso-Trujillo, K. and Rasel, E. and Rocco, E. and Roura, A. and Rudolph, J. and Schleich, W. and Schubert, C. and Schuldt, T. and Seidel, S. and Sengstock, K. and Sopuerta, C. F. and Sorrentino, F. and Summers, D. and Tino, G. M. and Trenkel, C. and Uzunoglu, N. and Klitzing, W. and Walser, R. and Wendrich, T. and Wenzlawski, A. and We\{\"\{s\}\}els, P. and Wicht, A. and Wille, E. and Williams, M. and Windpassinger, P. and Zahzam, N.}, title = {STE-QUEST\{--\}test of the universality of free fall using cold atom interferometry}, abstract = {The theory of general relativity describes macroscopic phenomena driven by the influence of gravity while quantum mechanics brilliantly accounts for microscopic effects. Despite their tremendous individual success, a complete unification of fundamental interactions is missing and remains one of the most challenging and important quests in modern theoretical physics. The spacetime explorer and quantum equivalence principle space test satellite mission, proposed as a medium-size mission within the Cosmic Vision program of the European Space Agency (ESA), aims for testing general relativity with high precision in two experiments by performing a measurement of the gravitational redshift of the Sun and the Moon by comparing terrestrial clocks, and by performing a test of the universality of free fall of matter waves in the gravitational field of Earth comparing the trajectory of two Bose–Einstein condensates of 85Rb and 87Rb. The two ultracold atom clouds are monitored very precisely thanks to techniques of atom interferometry. This allows to reach down to an uncertainty in the E\{\"\{o\}\}tv\{\"\{o\}\}s parameter of at least 2 × 10−15. In this paper, we report about the results of the phase A mission study of the atom interferometer instrument covering the description of the main payload elements, the atomic source concept, and the systematic error sources.}, year = {2014}, month = {may}, DOI = {10.1088/0264-9381/31/11/115010}, journal = {Classical and Quantum Gravity}, volume = {31}, publisher = {\{IOP\} Publishing}, pages = {115010}, number = {11}, file_url = {https://doi.org/10.1088{\%}2F0264-9381{\%}2F31{\%}2F11{\%}2F115010} } @Inproceedings { 127622884656_2014, author = {Giese, E. and Zeller, W. and Kleinert, S. and Meister, M. and Tamma, V. and Roura, A. and Schleich, W. P.}, title = {The interface of gravity and quantum mechanics illuminated by Wigner phase space}, year = {2014}, DOI = {10.3254/978-1-61499-448-0-171}, booktitle = {Atom Interferometry}, volume = {188}, publisher = {IOS Press}, address = {Amsterdam, Oxford, Tokyo, Washington DC}, series = {Proceedings of the International School of Physics \dqEnrico Fermi\dq}, editor = {G. M. Tino and M. A. Kasevich}, pages = {171-236} } @Inproceedings { 256010947391_2014, author = {Kling, P. and Endrich, R. and Giese, E. and Sauerbrey, R. and Schleich, W. P.}, title = {Quantum FEL II: Many-electron theory}, year = {2014}, journal = {Proceedings of FEL 2014}, address = {Basel}, pages = {348-352} } @Inproceedings { 340772696645_2014, author = {Endrich, R. and Giese, E. and Kling, P. and Sauerbrey, R. and Schleich, W. P.}, title = {Quantum FEL I: Multi-mode theory}, year = {2014}, journal = {Proceedings of FEL 2014}, address = {Basel}, pages = {353-357} } @Article { Roura_2014, author = {Roura, A. and Zeller, W. and Schleich, W. P.}, title = {Overcoming loss of contrast in atom interferometry due to gravity gradients}, abstract = {Long-time atom interferometry is instrumental to various high-precision measurements of fundamental physical properties, including tests of the equivalence principle. Due to rotations and gravity gradients, the classical trajectories characterizing the motion of the wave packets for the two branches of the interferometer do not close in phase space, an effect which increases significantly with the interferometer time. The relative displacement between the interfering wave packets in such open interferometers leads to a fringe pattern in the density profile at each exit port and a loss of contrast in the oscillations of the integrated particle number as a function of the phase shift. Paying particular attention to gravity gradients, we present a simple mitigation strategy involving small changes in the timing of the laser pulses which is very easy to implement. A useful representation-free description of the state evolution in an atom interferometer is introduced and employed to analyze the loss of contrast and mitigation strategy in the general case. (As a by-product, a remarkably compact derivation of the phase-shift in a general light-pulse atom interferometer is provided.) Furthermore, exact results are obtained for (pure and mixed) Gaussian states which allow a simple interpretation in terms of the alignment of Wigner functions in phase-space. Analytical results are also obtained for expanding Bose–Einstein condensates within the time-dependent Thomas–Fermi approximation. Finally, a combined strategy for rotations and nonaligned gravity gradients is considered as well.}, year = {2014}, month = {dec}, DOI = {10.1088/1367-2630/16/12/123012}, journal = {New Journal of Physics}, volume = {16}, publisher = {\{IOP\} Publishing}, pages = {123012}, number = {12}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F16{\%}2F12{\%}2F123012} } @Article { Neuberger_2014, author = {Neuberger, J. W. and Feiler, C. and Maier, H. and Schleich, W. P.}, title = {Newton flow of the Riemann zeta function: separatrices control the appearance of zeros}, abstract = {A great many phenomena in physics can be traced back to the zeros of a function or a functional. Eigenvalue or variational problems prevalent in classical as well as quantum mechanics are examples illustrating this statement. Continuous descent methods taken with respect to the proper metric are efficient ways to attack such problems. In particular, the continuous Newton method brings out the lines of constant phase of a complex-valued function. Although the patterns created by the Newton flow are reminiscent of the field lines of electrostatics and magnetostatics they cannot be realized in this way since in general they are not curl-free. We apply the continuous Newton method to the Riemann zeta function and discuss the emerging patterns emphasizing especially the structuring of the non-trivial zeros by the separatrices. This approach might open a new road toward the Riemann hypothesis.}, year = {2014}, month = {oct}, DOI = {10.1088/1367-2630/16/10/103023}, journal = {New Journal of Physics}, volume = {16}, publisher = {\{IOP\} Publishing}, pages = {103023}, number = {10}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F16{\%}2F10{\%}2F103023} } @Article { PhysRevA.88.043623, author = {Wei\{\"\{s\}\}, C. T. and Mironova, P. V. and Fort\{\'\{a\}\}gh, J. and Schleich, W. P. and Walser, R.}, title = {Immersing carbon nanotubes in cold atomic gases}, year = {2013}, month = {Oct}, DOI = {10.1103/PhysRevA.88.043623}, journal = {Phys. Rev. A}, volume = {88}, publisher = {American Physical Society}, pages = {043623}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.88.043623} } @Article { Buser_2013, author = {Buser, M. and Kajari, E. and Schleich, W. P.}, title = {Visualization of the G\{\"\{o\}\}del universe}, abstract = {The standard model of modern cosmology, which is based on the Friedmann–Lema\{\^\{i\}\}tre–Robertson–Walker metric, allows the definition of an absolute time. However, there exist (cosmological) models consistent with the theory of general relativity for which such a definition cannot be given since they offer the possibility for time travel. The simplest of these models is the cosmological solution discovered by Kurt G\{\"\{o\}\}del, which describes a homogeneous, rotating universe. Disregarding the paradoxes that come along with the abolishment of causality in such space–times, we are interested in the purely academic question of how an observer would visually perceive the time travel of an object in G\{\"\{o\}\}del's universe. For this purpose, we employ the technique of ray tracing, a standard tool in computer graphics, and visualize various scenarios to bring out the optical effects experienced by an observer located in this universe. In this way, we provide a new perspective on the space–time structure of G\{\"\{o\}\}del's model.}, year = {2013}, month = {jan}, DOI = {10.1088/1367-2630/15/1/013063}, journal = {New Journal of Physics}, volume = {15}, publisher = {\{IOP\} Publishing}, pages = {013063}, number = {1}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F15{\%}2F1{\%}2F013063} } @Article { HEIM20131822, author = {Heim, D. M. and Schleich, W. P. and Alsing, P. M. and Dahl, J. P. and Varro, S.}, title = {Tunneling of an energy eigenstate through a parabolic barrier viewed from Wigner phase space}, abstract = {We analyze the tunneling of a particle through a repulsive potential resulting from an inverted harmonic oscillator in the quantum mechanical phase space described by the Wigner function. In particular, we solve the partial differential equations in phase space determining the Wigner function of an energy eigenstate of the inverted oscillator. The reflection or transmission coefficients R or T are then given by the total weight of all classical phase-space trajectories corresponding to energies below, or above the top of the barrier given by the Wigner function.}, year = {2013}, issn = {0375-9601}, DOI = {10.1016/j.physleta.2013.05.017}, journal = {Physics Letters A}, volume = {377}, pages = {1822 - 1825}, number = {31}, keywords = {Tunneling, Inverted oscillator, Wigner function}, file_url = {http://www.sciencedirect.com/science/article/pii/S0375960113004878} } @Article { PhysRevLett.111.113201, author = {Efremov, M. A. and Plimak, L. and Ivanov, M. Yu. and Schleich, W. P.}, title = {Three-Body Bound States in Atomic Mixtures With Resonant p-Wave Interaction}, year = {2013}, month = {Sep}, DOI = {10.1103/PhysRevLett.111.113201}, journal = {Phys. Rev. Lett.}, volume = {111}, publisher = {American Physical Society}, pages = {113201}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.111.113201} } @Inproceedings { 454333329267_2013, author = {Preiss, P. and Sauerbrey, R. and Zubairy, M. S. and Endrich, R. and Giese, E. and Kling, P. and Knobl, M. and Schleich, W. P.}, title = {Theory of the quantum FEL in a nutshell}, year = {2013}, journal = {Proceedings of FEL 2013, Nara, Japan}, publisher = {JACoW}, editor = {T. Tanaka and V. R. W. Schaa} } @Article { Schleich5374, author = {Schleich, W. P. and Greenberger, D. M. and Kobe, D. H. and Scully, M. O.}, title = {Schr\{\"\{o\}\}dinger equation revisited}, abstract = {The time-dependent Schr\{\"\{o\}\}dinger equation is a cornerstone of quantum physics and governs all phenomena of the microscopic world. However, despite its importance, its origin is still not widely appreciated and properly understood. We obtain the Schr\{\"\{o\}\}dinger equation from a mathematical identity by a slight generalization of the formulation of classical statistical mechanics based on the Hamilton\{\textendash\}Jacobi equation. This approach brings out most clearly the fact that the linearity of quantum mechanics is intimately connected to the strong coupling between the amplitude and phase of a quantum wave.}, year = {2013}, issn = {0027-8424}, DOI = {10.1073/pnas.1302475110}, journal = {Proceedings of the National Academy of Sciences}, volume = {110}, publisher = {National Academy of Sciences}, pages = {5374--5379}, number = {14} } @Article { PhysRevLett.110.010401, author = {Schleich, W. P. and Greenberger, D. M. and Rasel, E. M.}, title = {Redshift Controversy in Atom Interferometry: Representation Dependence of the Origin of Phase Shift}, year = {2013}, month = {Jan}, DOI = {10.1103/PhysRevLett.110.010401}, journal = {Phys. Rev. Lett.}, volume = {110}, publisher = {American Physical Society}, pages = {010401}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.110.010401} } @Article { PhysRevA.87.014102, author = {Schleich, W. P. and Freyberger, M. and Zubairy, M. S.}, title = {Reconstruction of Bohm trajectories and wave functions from interferometric measurements}, year = {2013}, month = {Jan}, DOI = {10.1103/PhysRevA.87.014102}, journal = {Phys. Rev. A}, volume = {87}, publisher = {American Physical Society}, pages = {014102}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.87.014102} } @Article { Kazemi_2013, author = {Kazemi, P. and Chaturvedi, S. and Marzoli, I. and O'Connell, R. F. and Schleich, W. P.}, title = {Quantum carpets: a tool to observe decoherence}, abstract = {Quantum carpets\{--\}the spatio-temporal de Broglie density profiles\{--\}woven by an atom or an electron in the near-field region of a diffraction grating bring to light, in real time, the decoherence of each individual component of the interference term of the Wigner function characteristic of superposition states. The proposed experiments are feasible with present-day technology.}, year = {2013}, month = {jan}, DOI = {10.1088/1367-2630/15/1/013052}, journal = {New Journal of Physics}, volume = {15}, publisher = {\{IOP\} Publishing}, pages = {013052}, number = {1}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F15{\%}2F1{\%}2F013052} } @Article { PhysRevLett.110.093602, author = {M\{\"\{u\}\}ntinga, H. and Ahlers, H. and Krutzik, M. and Wenzlawski, A. and Arnold, S. and Becker, D. and Bongs, K. and Dittus, H. and Duncker, H. and Gaaloul, N. and Gherasim, C. and Giese, E. and Grzeschik, C. and H\{\"\{a\}nsch, T. W. and Hellmig, O. and Herr, W. and Herrmann, S. and Kajari, E. and Kleinert, S. and L\{\"\{a\}mmerzahl, C. and Lewoczko-Adamczyk, W. and Malcolm, J. and Meyer, N. and Nolte, R. and Peters, A. and Popp, M. and Reichel, J. and Roura, A. and Rudolph, J. and Schiemangk, M. and Schneider, M. and Seidel, S. T. and Sengstock, K. and Tamma, V. and Valenzuela, T. and Vogel, A. and Walser, R. and Wendrich, T. and Windpassinger, P. and Zeller, W. and Zoest, T. and Ertmer, W. and Schleich, W. P. and Rasel, E. M.}, title = {Interferometry with Bose-Einstein Condensates in Microgravity}, year = {2013}, month = {Feb}, DOI = {10.1103/PhysRevLett.110.093602}, journal = {Phys. Rev. Lett.}, volume = {110}, publisher = {American Physical Society}, pages = {093602}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.110.093602} } @Article { PhysRevA.87.013627, author = {Mironova, P. V. and Efremov, M. A. and Schleich, W. P.}, title = {Berry phase in atom optics}, year = {2013}, month = {Jan}, DOI = {10.1103/PhysRevA.87.013627}, journal = {Phys. Rev. A}, volume = {87}, publisher = {American Physical Society}, pages = {013627}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.87.013627} } @Article { Gleisberg_2013, author = {Gleisberg, F. and Mack, R. and Vogel, K. and Schleich, W. P.}, title = {Factorization with a logarithmic energy spectrum}, abstract = {We propose a method to factor numbers based on the quantum dynamics of two interacting bosonic atoms where the single-particle energy spectrum depends logarithmically on the quantum number. We show that two atoms initially prepared in the ground state are preferentially excited by a time-dependent interaction into a two-particle energy state characterized by the factors. Hence, a measurement of the energy of one of the two atoms yields the factors. The number to be factored is encoded in the frequency of a sinusoidally modulated interaction. We also discuss the influence of off-resonant transitions and the limitation of the number to be factored imposed by experimental conditions.}, year = {2013}, month = {feb}, DOI = {10.1088/1367-2630/15/2/023037}, journal = {New Journal of Physics}, volume = {15}, publisher = {\{IOP\} Publishing}, pages = {023037}, number = {2}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F15{\%}2F2{\%}2F023037} } @Article { PhysRevA.87.021602, author = {Grupp, M. and Schleich, W. P. and Goldobin, E. and Koelle, D. and Kleiner, R. and Walser, R.}, title = {Emergence of atomic semifluxons in optical Josephson junctions}, year = {2013}, month = {Feb}, DOI = {10.1103/PhysRevA.87.021602}, journal = {Phys. Rev. A}, volume = {87}, publisher = {American Physical Society}, pages = {021602}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.87.021602} } @Article { PhysRevA.88.053608, author = {Giese, E. and Roura, A. and Tackmann, G. and Rasel, E. M. and Schleich, W. P.}, title = {Double Bragg diffraction: A tool for atom optics}, year = {2013}, month = {Nov}, DOI = {10.1103/PhysRevA.88.053608}, journal = {Phys. Rev. A}, volume = {88}, publisher = {American Physical Society}, pages = {053608}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.88.053608} } @Article { PhysRevE.87.042912, author = {Bittner, S. and Dietz, B. and Miski-Oglu, M. and Richter, A. and Ripp, C. and Sadurn\{\'\{i\}\}, E. and Schleich, W. P.}, title = {Bound states in sharply bent waveguides: Analytical and experimental approach}, year = {2013}, month = {Apr}, DOI = {10.1103/PhysRevE.87.042912}, journal = {Phys. Rev. E}, volume = {87}, publisher = {American Physical Society}, pages = {042912}, file_url = {https://link.aps.org/doi/10.1103/PhysRevE.87.042912} } @Article { Schleich_2013, author = {Schleich, W. P. and Greenberger, D. M. and Rasel, E. M.}, title = {A representation-free description of the Kasevich-Chu interferometer: a resolution of the redshift controversy}, abstract = {Motivated by a recent claim by M\{\"\{u\}\}ller et al (2010 Nature 463 926–9) that an atom interferometer can serve as an atom clock to measure the gravitational redshift with an unprecedented accuracy, we provide a representation-free description of the Kasevich–Chu interferometer based on operator algebra. We use this framework to show that the operator product determining the number of atoms at the exit ports of the interferometer is a c-number phase factor whose phase is the sum of only two phases: one is due to the acceleration of the phases of the laser pulses and the other one is due to the acceleration of the atom. This formulation brings out most clearly that this interferometer is an accelerometer or a gravimeter. Moreover, we point out that in different representations of quantum mechanics such as the position or the momentum representation the phase shift appears as though it originates from different physical phenomena. Due to this representation dependence conclusions concerning an enhanced accuracy derived in a specific representation are unfounded.}, year = {2013}, month = {jan}, DOI = {10.1088/1367-2630/15/1/013007}, journal = {New Journal of Physics}, volume = {15}, publisher = {\{IOP\} Publishing}, pages = {013007}, number = {1}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F15{\%}2F1{\%}2F013007} } @Article { PhysRevA.87.023405, author = {Liao, Z. and Al-Amri, M. and Becker, Th. and Schleich, W. P. and Scully, M. O. and Zubairy, M. S.}, title = {Atom lithography with subwavelength resolution via Rabi oscillations}, year = {2013}, month = {Feb}, DOI = {10.1103/PhysRevA.87.023405}, journal = {Phys. Rev. A}, volume = {87}, publisher = {American Physical Society}, pages = {023405}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.87.023405} } @Article { PhysRevA.87.023604, author = {Efremov, M. A. and Mironova, P. V. and Schleich, W. P.}, title = {Atom lens without chromatic aberrations}, year = {2013}, month = {Feb}, DOI = {10.1103/PhysRevA.87.023604}, journal = {Phys. Rev. A}, volume = {87}, publisher = {American Physical Society}, pages = {023604}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.87.023604} } @Article { doi:10.1080/09500340.2012.746400, author = {Menzel, R. and Heuer, A. and Puhlmann, D. and Dechoum, K. and Hillery, M. and Sp\{\"\{a\}hn, M. J. A. and Schleich, W. P.}, title = {A two-photon double-slit experiment}, year = {2013}, DOI = {10.1080/09500340.2012.746400}, journal = {Journal of Modern Optics}, volume = {60}, publisher = {Taylor \{\\&\} Francis}, pages = {86-94}, number = {1} } @Article { Heim_2013, author = {Heim, D. M. and Vogel, K. and Schleich, W. P. and Koelle, D. and Kleiner, R. and Goldobin, E.}, title = {A tunable macroscopic quantum system based on two fractional vortices}, abstract = {We propose a tunable macroscopic quantum system based on two fractional vortices. Our analysis shows that two coupled fractional vortices pinned at two artificially created κ discontinuities of the Josephson phase in a long Josephson junction can reach the quantum regime where coherent quantum oscillations arise. For this purpose we map the dynamics of this system to that of a single particle in a double-well potential. By tuning the κ discontinuities with injector currents, we are able to control the parameters of the effective double-well potential as well as to prepare a desired state of the fractional vortex molecule. The values of the parameters derived from this model suggest that an experimental realization of this tunable macroscopic quantum system is possible with today's technology.}, year = {2013}, month = {may}, DOI = {10.1088/1367-2630/15/5/053020}, journal = {New Journal of Physics}, volume = {15}, publisher = {\{IOP\} Publishing}, pages = {053020}, number = {5}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F15{\%}2F5{\%}2F053020} } @Article { Feiler_2013, author = {Feiler, C. and Schleich, W. P.}, title = {Entanglement and analytical continuation: an intimate relation told by the Riemann zeta function}, abstract = {We propose measurements on a quantum system to realize the Riemann zeta function ζ. A single system, that is classical interference, suffices to create the Dirichlet representation of ζ. In contrast, we need measurements performed on two entangled quantum systems to extend ζ into the critical strip of complex space where the non-trivial zeros of ζ are located. As a consequence, we can view these zeros as a result of a Schr\{\"\{o\}\}dinger cat which is by its very construction similar to, but in its details very different from, the superposition formed by two coherent states of identical amplitudes but opposite phases. This interpretation suggests that entanglement in quantum mechanics is the analogue of analytic continuation of complex analysis.}, year = {2013}, month = {jun}, DOI = {10.1088/1367-2630/15/6/063009}, journal = {New Journal of Physics}, volume = {15}, publisher = {\{IOP\} Publishing}, pages = {063009}, number = {6}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F15{\%}2F6{\%}2F063009} } @Inbook { Woelk2012, author = {W\{\"\{o\}\}lk, S. and Schleich, W. P.}, title = {Quantum Carpets: Factorization with Degeneracies}, abstract = {In this paper, we connect our approach of factoring numbers using the continuous truncated Gauss sum (W\{\dqo\}lk et al., J. Mod. Optic, 2009) with the phenomenon of quantum carpets. In particular, we demonstrate that the degree of degeneracy of the ratio ℓ ∕ N translates into a crossing of the canals and ridges contained in the design of quantum carpets. In this way, quantum carpets represent an experimental implementation of our idea of factorization with degeneracies.}, year = {2012}, isbn = {978-1-4419-6624-7}, DOI = {10.1007/978-1-4419-6624-7\_18}, publisher = {Springer US}, address = {Boston, MA}, editor = {L. Cohen, H. V. Poor and M. O. Scully}, pages = {259--269}, file_url = {https://doi.org/10.1007/978-1-4419-6624-7\_18} } @Article { Menzel9314, author = {Menzel, R. and Puhlmann, D. and Heuer, A. and Schleich, W. P.}, title = {Wave-particle dualism and complementarity unraveled by a different mode}, abstract = {The precise knowledge of one of two complementary experimental outcomes prevents us from obtaining complete information about the other one. This formulation of Niels Bohr\{\textquoteright\}s principle of complementarity when applied to the paradigm of wave-particle dualism\{\textemdash\}that is, to Young\{\textquoteright\}s double-slit experiment\{\textemdash\}implies that the information about the slit through which a quantum particle has passed erases interference. In the present paper we report a double-slit experiment using two photons created by spontaneous parametric down-conversion where we observe interference in the signal photon despite the fact that we have located it in one of the slits due to its entanglement with the idler photon. This surprising aspect of complementarity comes to light by our special choice of the TEM01 pump mode. According to quantum field theory the signal photon is then in a coherent superposition of two distinct wave vectors giving rise to interference fringes analogous to two mechanical slits.}, year = {2012}, issn = {0027-8424}, DOI = {10.1073/pnas.1201271109}, journal = {Proceedings of the National Academy of Sciences}, volume = {109}, publisher = {National Academy of Sciences}, pages = {9314--9319}, number = {24} } @Article { PhysRevA.86.063622, author = {Greenberger, D. M. and Schleich, W. P. and Rasel, E. M.}, title = {Relativistic effects in atom and neutron interferometry and the differences between them}, year = {2012}, month = {Dec}, DOI = {10.1103/PhysRevA.86.063622}, journal = {Phys. Rev. A}, volume = {86}, publisher = {American Physical Society}, pages = {063622}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.86.063622} } @Article { Case:12, author = {Case, W. B. and Sadurn\{\'\{i\}\}, E. and Schleich, W. P.}, title = {A diffractive mechanism of focusing}, abstract = {We examine the free time evolution of a rectangular one dimensional Schr\\dq\{o\}dinger wave packet of constant phase during the early stage which in the paraxial wave approximation is identical to the diffraction of a scalar field from a single slit. Our analysis, based on numerics and the Cornu spiral reveals considerable intricate detail behavior in the density and phase of the wave. We also point out a concentration of the intensity that occurs on axis and propose a new measure of width that expresses this concentration.}, year = {2012}, month = {Dec}, DOI = {10.1364/OE.20.027253}, journal = {Opt. Express}, volume = {20}, publisher = {OSA}, pages = {27253--27262}, number = {25}, keywords = {Diffraction; Diffraction theory; Diffraction limit; Evanescent waves; Light fields; Phase space analysis methods; Ptychography; Talbot effect}, file_url = {http://www.opticsexpress.org/abstract.cfm?URI=oe-20-25-27253} } @Article { Tamma2012, author = {Tamma, V. and Alley, C. O. and Schleich, W. P. and Shih, Y. H.}, title = {Prime Number Decomposition, the Hyperbolic Function and Multi-Path Michelson Interferometers}, abstract = {The phase \$\phi\$ of any wave is determined by the ratio x/\$\lambda\$ consisting of the distance x propagated by the wave and its wavelength \$\lambda\$. Hence, the dependence of \$\phi\$ on \$\lambda\$ constitutes an analogue system for the mathematical operation of division, that is to obtain the hyperbolic function f(\$\xi\$)≡1/\$\xi\$. We take advantage of this observation to decompose integers into primes and implement this approach towards factorization of numbers in a multi-path Michelson interferometer. This work is part of a larger program geared towards unraveling the connections between quantum mechanics and number theory. We briefly summarize this aspect.}, year = {2012}, month = {Jan}, day = {01}, issn = {1572-9516}, DOI = {10.1007/s10701-010-9522-3}, journal = {Foundations of Physics}, volume = {42}, pages = {111--121}, number = {1}, file_url = {https://doi.org/10.1007/s10701-010-9522-3} } @Article { Plimak_2012, author = {Plimak, L. I. and Stenholm, S. T. and Schleich, W. P.}, title = {Operator ordering and causality}, abstract = {A formal implementation of the concepts of mesoscopic electromagnetic interaction and of the propagating wave in quantum electrodynamics beyond the rotating wave approximation is discussed. Used as a guide, these concepts lead to a natural resolution of a long-standing controversy: causality violations in the Glauber–Kelley–Kleiner photodetection theory. The Glauber–Kelley–Kleiner definition of the time-normal operator ordering must be amended without the rotating wave approximation, which eliminates all causality problems.}, year = {2012}, month = {feb}, DOI = {10.1088/0031-8949/2012/t147/014026}, journal = {Physica Scripta}, volume = {T147}, publisher = {\{IOP\} Publishing}, pages = {014026}, file_url = {https://doi.org/10.1088{\%}2F0031-8949{\%}2F2012{\%}2Ft147{\%}2F014026} } @Article { W_lk_2012, author = {W\{\"\{o\}\}lk, S. and Schleich, W. P.}, title = {Factorization of numbers with Gauss sums: III. Algorithms with entanglement}, abstract = {We propose two algorithms to factor numbers using Gauss sums and entanglement: (i) in a Shor-like algorithm we encode the standard Gauss sum in one of two entangled states and (ii) in an interference algorithm we create a superposition of Gauss sums in the probability amplitudes of two entangled states. These schemes are rather efficient provided that there exists a fast algorithm that can detect a period of a function hidden in its zeros.}, year = {2012}, month = {jan}, DOI = {10.1088/1367-2630/14/1/013049}, journal = {New Journal of Physics}, volume = {14}, publisher = {\{IOP\} Publishing}, pages = {013049}, number = {1}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F14{\%}2F1{\%}2F013049} } @Inproceedings { Wolk:11, author = {W\{\"\{o\}\}lk, S. and Feiler, C. and Schleich, W. P.}, title = {Quantum Mechanics Meets Number Theory}, abstract = {We suggest a way to determine the Riemann zeta function with the help of quantum mechanics. Furthermore, we discuss the factoring abilities of Gauss sums and introduce a way to calculate them with the help of entanglement.}, year = {2011}, DOI = {10.1364/ICQI.2011.QMC1}, booktitle = {International Conference on Quantum Information}, journal = {International Conference on Quantum Information}, publisher = {Optical Society of America}, pages = {QMC1}, keywords = {Quantum optics; Quantum information and processing ; Beam splitters; Bose Einstein condensates; Cavity quantum electrodynamics; Cold atoms; Destructive interference; Quantum electronics}, file_url = {http://www.osapublishing.org/abstract.cfm?URI=ICQI-2011-QMC1} } @Article { Sorrentino_2011, author = {Sorrentino, F. and Bongs, K. and Bouyer, P. and Cacciapuoti, L. and Angelis, M. and Dittus, H. and Ertmer, W. and Hartwig, J. and Hauth, M. and Herrmann, S. and Huang, K. and Inguscio, M. and Kajari, E. and K\{\"\{o\}\}nemann, T. and L\{\"\{a\}mmerzahl, C. and Landragin, A. and Modugno, G. and Santos, F. Pereira and Peters, A. and Prevedelli, M. and Rasel, E. M. and Schleich, W. P. and Schmidt, M. and Senger, A. and Sengstock, K. and Stern, G. and Tino, G. M. and Valenzuela, T. and Walser, R. and Windpassinger, P.}, title = {The Space Atom Interferometer project: status and prospects}, abstract = {This paper presents the current status and future prospects of the Space Atom Interferometer project (SAI), funded by the European Space Agency. Atom interferometry provides extremely sensitive and accurate tools for the measurement of inertial forces. Operation of atom interferometers in microgravity is expected to enhance the performance of such sensors. Main goal of SAI is to demonstrate the possibility of placing atom interferometers in space. The resulting drop-tower compatible atom interferometry acceleration sensor prototype is described. Expected performance limits and potential scientific applications in a micro-gravity environment are also discussed.}, year = {2011}, month = {dec}, DOI = {10.1088/1742-6596/327/1/012050}, journal = {Journal of Physics: Conference Series}, volume = {327}, publisher = {\{IOP\} Publishing}, pages = {012050}, file_url = {https://doi.org/10.1088{\%}2F1742-6596{\%}2F327{\%}2F1{\%}2F012050} } @Article { PhysRevA.83.051602, author = {Zippilli, S. and Mohring, B. and Lutz, E. and Morigi, G. and Schleich, W.}, title = {Quantum-noise quenching in atomic tweezers}, year = {2011}, month = {May}, DOI = {10.1103/PhysRevA.83.051602}, journal = {Phys. Rev. A}, volume = {83}, publisher = {American Physical Society}, pages = {051602}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.83.051602} } @Article { Merkel_2011, author = {Merkel, W. and W\{\"\{o\}\}lk, S. and Schleich, W. P. and Averbukh, I. Sh. and Girard, B. and Paulus, G. G.}, title = {Factorization of numbers with Gauss sums: II. Suggestions for implementation with chirped laser pulses}, abstract = {We propose three implementations of the Gauss sum factorization schemes discussed in part I of this series (W\{\"\{o\}\}lk et al 2011 New J. Phys. 13 103007): (i) a two-photon transition in a multi-level ladder system induced by a chirped laser pulse, (ii) a chirped one-photon transition in a two-level atom with a periodically modulated excited state and (iii) a linearly chirped one-photon transition driven by a sequence of ultrashort pulses. For each of these quantum systems, we show that the excitation probability amplitude is given by an appropriate Gauss sum. We provide rules on how to encode the number N to be factored in our system and how to identify the factors of N in the fluorescence signal of the excited state.}, year = {2011}, month = {oct}, DOI = {10.1088/1367-2630/13/10/103008}, journal = {New Journal of Physics}, volume = {13}, publisher = {\{IOP\} Publishing}, pages = {103008}, number = {10}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F13{\%}2F10{\%}2F103008} } @Article { W_lk_2011, author = {W\{\"\{o\}\}lk, S. and Merkel, W. and Schleich, W. P. and Averbukh, I. Sh. and Girard, B.}, title = {Factorization of numbers with Gauss sums: I. Mathematical background}, abstract = {We use the periodicity properties of generalized Gauss sums to factor numbers. Moreover, we derive rules for finding the factors and illustrate this factorization scheme for various examples. This algorithm relies solely on interference and scales exponentially.}, year = {2011}, month = {oct}, DOI = {10.1088/1367-2630/13/10/103007}, journal = {New Journal of Physics}, volume = {13}, publisher = {\{IOP\} Publishing}, pages = {103007}, number = {10}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F13{\%}2F10{\%}2F103007} } @Article { PhysRevA.83.020304, author = {Tamma, V. and Zhang, H. and He, X. and Garuccio, A. and Schleich, W. P. and Shih, Y.}, title = {Factoring numbers with a single interferogram}, year = {2011}, month = {Feb}, DOI = {10.1103/PhysRevA.83.020304}, journal = {Phys. Rev. A}, volume = {83}, publisher = {American Physical Society}, pages = {020304}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.83.020304} } @Article { Rudolph2011, author = {Rudolph, J. and Gaaloul, N. and Singh, Y. and Ahlers, H. and Herr, W. and Schulze, T. A. and Seidel, S. T. and Rode, C. and Schkolnik, V. and Ertmer, W. and Rasel, E. M. and M\{\"\{u\}\}ntinga, H. and K\{\"\{o\}\}nemann, T. and Resch, A. and Herrmann, S. and L\{\"\{a\}mmerzahl, C. and Zoest, T. and Dittus, H. and Vogel, A. and Wenzlawski, A. and Sengstock, K. and Meyer, N. and Bongs, K. and Krutzik, M. and Lewoczko-Adamczyk, W. and Schiemangk, M. and Peters, A. and Eckart, M. and Kajari, E. and Arnold, S. and Nandi, G. and Schleich, W. P. and Walser, R. and Steinmetz, T. and H\{\"\{a\}nsch, T. W. and Reichel, J.}, title = {Degenerate Quantum Gases in Microgravity}, abstract = {Clouds of ultra-cold atoms and especially Bose--Einstein condensates (BEC) provide a source for coherent matter-waves in numerous earth bound experiments. Analogous to optical interferometry, matter-wave interferometers can be used for precision measurements allowing for a sensitivity orders of magnitude above their optical counterparts. However, in some respects the presence of gravitational forces in the lab limits experimental possibilities. In this article, we report about a compact and robust experiment generating Bose--Einstein condensates in the drop tower facility in Bremen, Germany. We also present the progress of building the succeeding experiment in which a two species atom interferometer will be implemented to test the weak equivalence principle with quantum matter.}, year = {2011}, month = {Jun}, day = {01}, issn = {1875-0494}, DOI = {10.1007/s12217-010-9247-0}, journal = {Microgravity Science and Technology}, volume = {23}, pages = {287--292}, number = {3}, file_url = {https://doi.org/10.1007/s12217-010-9247-0} } @Article { Kajari2010, author = {Kajari, E. and Harshman, N. L. and Rasel, E. M. and Stenholm, S. and S\{\"\{u\}\}\{\"\{s\}\}mann, G. and Schleich, W. P.}, title = {Inertial and gravitational mass in quantum mechanics}, abstract = {We show that in complete agreement with classical mechanics, the dynamics of any quantum mechanical wave packet in a linear gravitational potential involves the gravitational and the inertial mass only as their ratio. In contrast, the spatial modulation of the corresponding energy wave function is determined by the third root of the product of the two masses. Moreover, the discrete energy spectrum of a particle constrained in its motion by a linear gravitational potential and an infinitely steep wall depends on the inertial as well as the gravitational mass with different fractional powers. This feature might open a new avenue in quantum tests of the universality of free fall.}, year = {2010}, month = {Jul}, day = {01}, issn = {1432-0649}, DOI = {10.1007/s00340-010-4085-8}, journal = {Applied Physics B}, volume = {100}, pages = {43--60}, number = {1}, file_url = {https://doi.org/10.1007/s00340-010-4085-8} } @Article { Sorrentino2010, author = {Sorrentino, F. and Bongs, K. and Bouyer, Ph. and Cacciapuoti, L. and Angelis, M. and Dittus, H. and Ertmer, W. and Giorgini, A. and Hartwig, J. and Hauth, M. and Herrmann, S. and Inguscio, M. and Kajari, E. and K\{\"\{o\}\}nemann, T. T. and L\{\"\{a\}mmerzahl, C. and Landragin, A. and Modugno, G. and Santos, F. and Peters, A. and Prevedelli, M. and Rasel, E. M. and Schleich, W. P. and Schmidt, M. and Senger, A. and Sengstock, K. and Stern, G. and Tino, G. M. and Walser, R.}, title = {A Compact Atom Interferometer for Future Space Missions}, abstract = {Atom interferometry represents a quantum leap in the technology for the ultra-precise monitoring of accelerations and rotations and, therefore, for the science that relies on these quantities. These sensors evolved from a new kind of optics based on matter-waves rather than light-waves and might result in an advancement of the fundamental detection limits by several orders of magnitude. This paper describes the current status of the Space Atom Interferometer project (SAI), funded by the European Space Agency. In a multi-pronged approach, SAI aims to investigate both experimentally and theoretically the various aspects of placing atom interferometers in space: the equipment needs, the realistically expected performance limits and potential scientific applications in a micro-gravity environment considering all aspects of quantum, relativistic and metrological sciences. A drop-tower compatible atom interferometry acceleration sensor prototype has been designed, and the manufacturing of its subsystems has been started. A compact modular laser system for cooling and trapping rubidium atoms has been assembled. A compact Raman laser module, featuring outstandingly low phase noise, has been realized. Possible schemes to implement coherent atomic sources in the atom interferometer have been experimentally demonstrated.}, year = {2010}, month = {Oct}, day = {01}, issn = {1875-0494}, DOI = {10.1007/s12217-010-9240-7}, journal = {Microgravity Science and Technology}, volume = {22}, pages = {551--561}, number = {4}, file_url = {https://doi.org/10.1007/s12217-010-9240-7} } @Article { vanZoest1540, author = {Zoest, T. and Gaaloul, N. and Singh, Y. and Ahlers, H. and Herr, W. and Seidel, S. T. and Ertmer, W. and Rasel, E. and Eckart, M. and Kajari, E. and Arnold, S. and Nandi, G. and Schleich, W. P. and Walser, R. and Vogel, A. and Sengstock, K. and Bongs, K. and Lewoczko-Adamczyk, W. and Schiemangk, M. and Schuldt, T. and Peters, A. and K\{\"\{o\}\}nemann, T. and M\{\"\{u\}\}ntinga, H. and L\{\"\{a\}mmerzahl, C. and Dittus, H. and Steinmetz, T. and H\{\"\{a\}nsch, T. W. and Reichel, J.}, title = {Bose-Einstein Condensation in Microgravity}, abstract = {Two pillars of modern physics are quantum mechanics and general relativity. So far, both have remained apart with no quantum mechanical description of gravity available. Van Zoest et al. (p. 1540; see the Perspective by Nussenzveig and Barata) present work with a macroscopic quantum mechanical system\{\textemdash\}a Bose-Einstein condensate (BEC) of rubidium atoms in which the cloud of atoms is cooled into a collective quantum state\{\textemdash\}in microgravity. By dropping the BEC down a 146-meter-long drop chamber and monitoring the expansion of the quantum gas under these microgravity conditions, the authors provide a proof-of-principle demonstration of a technique that can probe the boundary of quantum mechanics and general relativity and perhaps offer the opportunity to reconcile the two experimentally.Albert Einstein\{\textquoteright\}s insight that it is impossible to distinguish a local experiment in a \{\textquotedblleft\}freely falling elevator\{\textquotedblright\} from one in free space led to the development of the theory of general relativity. The wave nature of matter manifests itself in a striking way in Bose-Einstein condensates, where millions of atoms lose their identity and can be described by a single macroscopic wave function. We combine these two topics and report the preparation and observation of a Bose-Einstein condensate during free fall in a 146-meter-tall evacuated drop tower. During the expansion over 1 second, the atoms form a giant coherent matter wave that is delocalized on a millimeter scale, which represents a promising source for matter-wave interferometry to test the universality of free fall with quantum matter.}, year = {2010}, issn = {0036-8075}, DOI = {10.1126/science.1189164}, journal = {Science}, volume = {328}, publisher = {American Association for the Advancement of Science}, pages = {1540--1543}, number = {5985} } @Article { PhysRevB.81.054514, author = {Goldobin, E. and Vogel, K. and Schleich, W. P. and Koelle, D. and Kleiner, R.}, title = {Coherent superpositions of single semifluxon states in a 0−π Josephson junction}, year = {2010}, month = {Feb}, DOI = {10.1103/PhysRevB.81.054514}, journal = {Phys. Rev. B}, volume = {81}, publisher = {American Physical Society}, pages = {054514}, file_url = {https://link.aps.org/doi/10.1103/PhysRevB.81.054514} } @Article { doi:10.1063/1.3537857, author = {Sadurn\{\'\{i\}\}, E. and Schleich, W. P.}, title = {Conformal mapping and bound states in bent waveguides}, year = {2010}, DOI = {10.1063/1.3537857}, journal = {AIP Conference Proceedings}, volume = {1323}, pages = {283-295}, number = {1} } @Article { doi:10.1080/09500340.2010.486873, author = {Mack, R. and Yakovlev, V. P. and Schleich, W. P.}, title = {Correlations in phase space and the creation of focusing wave packets}, year = {2010}, DOI = {10.1080/09500340.2010.486873}, journal = {Journal of Modern Optics}, volume = {57}, publisher = {Taylor \{\\&\} Francis}, pages = {1437-1444}, number = {14-15} } @Article { Glauber_2010, author = {Glauber, R. J. and Orozco, L. A. and Vogel, K. and Schleich, W. P. and Walther, H.}, title = {Field fluctuations measured by interferometry}, abstract = {We derive the complete photon count statistics of an interferometer based on two beam splitters. As a special case we consider a joint intensity–electric field measurement. Our approach is based on the transformation properties of state vectors as well as field operators at a beam splitter.}, year = {2010}, month = {sep}, DOI = {10.1088/0031-8949/2010/t140/014002}, journal = {Physica Scripta}, volume = {T140}, publisher = {\{IOP\} Publishing}, pages = {014002}, file_url = {https://doi.org/10.1088{\%}2F0031-8949{\%}2F2010{\%}2Ft140{\%}2F014002} } @Article { Schmidt_Kaler_2010, author = {Pfau, T. and Schmelcher, P. and Schleich, W.}, title = {Focus on Atom Optics and its Applications}, abstract = {Atom optics employs the modern techniques of quantum optics and laser cooling to enable applications which often outperform current standard technologies. Atomic matter wave interferometers allow for ultra-precise sensors; metrology and clocks are pushed to an extraordinary accuracy of 17 digits using single atoms. Miniaturization and integration are driven forward for both atomic clocks and atom optical circuits. With the miniaturization of information-storage and -processing devices, the scale of single atoms is approached in solid state devices, where the laws of quantum physics lead to novel, advantageous features and functionalities. An upcoming branch of atom optics is the control of single atoms, potentially allowing solid state devices to be built atom by atom; some of which would be applicable in future quantum information processing devices. Selective manipulation of individual atoms also enables trace analysis of extremely rare isotopes. Additionally, sources of neutral atoms with high brightness are being developed and, if combined with photo ionization, even novel focused ion beam sources are within reach. Ultracold chemistry is fertilized by atomic techniques, when reactions of chemical constituents are investigated between ions, atoms, molecules, trapped or aligned in designed fields and cooled to ultra-low temperatures such that the reaction kinetics can be studied in a completely state-resolved manner. Focus on Atom Optics and its Applications Contents Sensitive gravity-gradiometry with atom interferometry: progress towards an improved determination of the gravitational constant F Sorrentino, Y-H Lien, G Rosi, L Cacciapuoti, M Prevedelli and G M Tino A single-atom detector integrated on an atom chip: fabrication, characterization and application D Heine, W Rohringer, D Fischer, M Wilzbach, T Raub, S Loziczky, XiYuan Liu, S Groth, B Hessmo and J Schmiedmayer Interaction of a propagating guided matter wave with a localized potential G L Gattobigio, A Couvert, B Georgeot and D Gu\{\'\{e\}\}ry-Odelin Analysis of the entanglement between two individual atoms using global Raman rotations A Ga\{\"\{e\}\}tan, C Evellin, J Wolters, P Grangier, T Wilk and A Browaeys Spin polarization transfer in ground and metastable helium atom collisions D Vrinceanu and H R Sadeghpour A fiber Fabry–Perot cavity with high finesse D Hunger, T Steinmetz, Y Colombe, C Deutsch, T W H\{\"\{a\}nsch and J Reichel Atomic wave packets in amplitude-modulated vertical optical lattices A Alberti, G Ferrari, V V Ivanov, M L Chiofalo and G M Tino Atom interferometry with trapped Bose–Einstein condensates: impact of atom–atom interactions Julian Grond, Ulrich Hohenester, Igor Mazets and J\{\"\{o\}\}rg Schmiedmayer Storage of protonated water clusters in a biplanar multipole rf trap C Greve, M Kr\{\"\{o\}\}ner, S Trippel, P Woias, R Wester and M Weidem\{\"\{u\}\}ller Single-atom detection on a chip: from realization to application A Stibor, H Bender, S K\{\"\{u\}\}hnhold, J Fort\{\'\{a\}\}gh, C Zimmermann and A G\{\"\{u\}\}nther Ultracold atoms as a target: absolute scattering cross-section measurements P W\{\"\{u\}\}rtz, T Gericke, A Vogler and H Ott Entanglement-assisted atomic clock beyond the projection noise limit Anne Louchet-Chauvet, J\{\"\{u\}\}rgen Appel, Jelmer J Renema, Daniel Oblak, Niels Kjaergaard and Eugene S Polzik Towards the realization of atom trap trace analysis for 39Ar J Welte, F Ritterbusch, I Steinke, M Henrich, W Aeschbach-Hertig and M K Oberthaler Resonant superfluidity in an optical lattice I Titvinidze, M Snoek and W Hofstetter Interference of interacting matter waves Mattias Gustavsson, Elmar Haller, Manfred J Mark, Johann G Danzl, Russell Hart, Andrew J Daley and Hanns-Christoph N\{\"\{a\}gerl Magnetic trapping of NH molecules with 20 s lifetimes E Tsikata, W C Campbell, M T Hummon, H-I Lu and J M Doyle Imprinting patterns of neutral atoms in an optical lattice using magnetic resonance techniques Michal Karski, Leonid F\{\"\{o\}\}rster, Jai-Min Choi, Andreas Steffen, Noomen Belmechri, Wolfgang Alt, Dieter Meschede and Artur Widera Frequency stability of optical lattice clocks J\{\'\{e\}\}r\{\^\{o\}\}me Lodewyck, Philip G Westergaard, Arnaud Lecallier, Luca Lorini and Pierre Lemonde Ultracold quantum gases in triangular optical lattices C Becker, P Soltan-Panahi, J Kronj\{\"\{a\}ger, S D\{\"\{o\}\}rscher, K Bongs and K Sengstock Cold atoms near superconductors: atomic spin coherence beyond the Johnson noise limit B Kasch, H Hattermann, D Cano, T E Judd, S Scheel, C Zimmermann, R Kleiner, D Koelle and J Fort\{\'\{a\}\}gh Focusing a deterministic single-ion beam Wolfgang Schnitzler, Georg Jacob, Robert Fickler, Ferdinand Schmidt-Kaler and Kilian Singer Tuning the structural and dynamical properties of a dipolar Bose–Einstein condensate: ripples and instability islands M Asad-uz-Zaman and D Blume Double-resonance lineshapes in a cell with wall coating and buffer gas Svenja Knappe and Hugh G Robinson Transport and interaction blockade of cold bosonic atoms in a triple-well potential P Schlagheck, F Malet, J C Cremon and S M Reimann Fabrication of a planar micro Penning trap and numerical investigations of versatile ion positioning protocols M Hellwig, A Bautista-Salvador, K Singer, G Werth and F Schmidt-Kaler Laser cooling of a magnetically guided ultracold atom beam A Aghajani-Talesh, M Falkenau, V V Volchkov, L E Trafford, T Pfau and A Griesmaier Creation efficiency of nitrogen-vacancy centres in diamond S Pezzagna, B Naydenov, F Jelezko, J Wrachtrup and J Meijer Top-down pathways to devices with few and single atoms placed to high precision Jessica A Van Donkelaar, Andrew D Greentree, Andrew D C Alves, Lenneke M Jong, Lloyd C L Hollenberg and David N Jamieson Enhanced electric field sensitivity of rf-dressed Rydberg dark states M G Bason, M Tanasittikosol, A Sargsyan, A K Mohapatra, D Sarkisyan, R M Potvliege and C S Adams}, year = {2010}, month = {jun}, DOI = {10.1088/1367-2630/12/6/065014}, journal = {New Journal of Physics}, volume = {12}, publisher = {\{IOP\} Publishing}, pages = {065014}, number = {6}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F12{\%}2F6{\%}2F065014} } @Article { VOGEL2010133, author = {Vogel, K. and Gleisberg, F. and Harshman, N. L. and Kazemi, P. and Mack, R. and Plimak, L. and Schleich, W. P.}, title = {Optimally focusing wave packets}, abstract = {An appropriately prepared real-valued wave packet moving in one space dimension will focus during a brief period of time even in the absence of any force. We illustrate this phenomenon by considering the time evolution of the elementary superposition of the ground state and the second excited state of a harmonic oscillator. Moreover, we show that a variation of the superposition parameter leads us from a domain of enhanced spreading via a point of suppressed spreading to a region where the wave packets focuses before it spreads again. We determine the points of maximal spreading and optimal focusing. Our analysis of this unusual behavior of a free quantum particle rests on the time dependence of (i) the average separation of the wave packet from the origin, (ii) the probability density in position space, and (iii) the Wigner phase space distribution. We conclude our search for optimally focusing wave packets by solving the corresponding variational problem with respect to a family of measures expressing the width of the wave packet.}, year = {2010}, issn = {0301-0104}, DOI = {https://doi.org/10.1016/j.chemphys.2010.07.002}, journal = {Chemical Physics}, volume = {375}, pages = {133 - 143}, number = {2}, keywords = {Focusing wave packets, Wigner function}, file_url = {http://www.sciencedirect.com/science/article/pii/S0301010410003137}, note = {Stochastic processes in Physics and Chemistry (in honor of Peter H\{\"\{a\}nggi)} } @Article { PhysRevA.82.032119, author = {Mack, R. and Dahl, J. P. and Moya-Cessa, H. and Strunz, W. T. and Walser, R. and Schleich, W. P.}, title = {Riemann ζ function from wave-packet dynamics}, year = {2010}, month = {Sep}, DOI = {10.1103/PhysRevA.82.032119}, journal = {Phys. Rev. A}, volume = {82}, publisher = {American Physical Society}, pages = {032119}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.82.032119} } @Article { SCHLEICH2010786, author = {Schleich, W. P. and Dahl, J. P. and Varro, S.}, title = {Wigner function for a free particle in two dimensions: A tale of interference}, abstract = {The familiar wave function for a free particle in two dimensions and in a state with definite values of energy and angular momentum shows some unusual effects. We identify the origin of these subtleties as interference in two-dimensional space where Huygens’ principle breaks down. Our arguments are based upon the corresponding Wigner function.}, year = {2010}, issn = {0030-4018}, DOI = {https://doi.org/10.1016/j.optcom.2009.10.055}, journal = {Optics Communications}, volume = {283}, pages = {786 - 789}, number = {5}, file_url = {http://www.sciencedirect.com/science/article/pii/S0030401809010475}, note = {Quo vadis Quantum Optics?} } @Article { PhysRevD.80.103002, author = {Grave, F. and Buser, M. and M\{\"\{u\}\}ller, T. and Wunner, G. and Schleich, W. P.}, title = {The G\{\"\{o\}\}del universe: Exact geometrical optics and analytical investigations on motion}, year = {2009}, month = {Nov}, DOI = {10.1103/PhysRevD.80.103002}, journal = {Phys. Rev. D}, volume = {80}, publisher = {American Physical Society}, pages = {103002}, file_url = {https://link.aps.org/doi/10.1103/PhysRevD.80.103002} } @Article { PhysRevA.79.024101, author = {Dahl, J. P. and Schleich, W. P.}, title = {State operator, constants of the motion, and Wigner functions: The two-dimensional isotropic harmonic oscillator}, year = {2009}, month = {Feb}, DOI = {10.1103/PhysRevA.79.024101}, journal = {Phys. Rev. A}, volume = {79}, publisher = {American Physical Society}, pages = {024101}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.79.024101} } @Inbook { 307757939105_2009, author = {Arendt, W. and Mugnolo, D. and Schleich, W. P.}, title = {Preface}, year = {2009}, booktitle = {Mathematical Analysis of Evolution, Information, and Complexity}, publisher = {Wiley VCH}, address = {Weinheim}, editor = {W. Arendt and W. Schleich}, pages = {XXIII-XXIX} } @Article { Eckart_2009, author = {Eckart, M. and Walser, R. and Schleich, W. P. and Z\{\"\{o\}\}llner, S. and Schmelcher, P.}, title = {The granularity of weakly occupied bosonic fields beyond the local density approximation}, abstract = {We examine ground state correlations for repulsive, quasi one-dimensional bosons in a harmonic trap. In particular, we focus on the few particle limit N=2, 3, 4, [$\ldots$], where exact numerical solutions of the many particle Schr\{\"\{o\}\}dinger equation are available, by employing the multi-configuration time-dependent Hartree method. Our numerical results for the inhomogeneous system are modeled with the analytical solution of the homogeneous problem using the Bethe ansatz and the local density approximation. Tuning the interaction strength from the weakly correlated Gross–Pitaevskii to the strongly correlated Tonks–Girardeau regime reveals finite particle number effects in the second-order correlation function beyond the local density approximation.}, year = {2009}, month = {feb}, DOI = {10.1088/1367-2630/11/2/023010}, journal = {New Journal of Physics}, volume = {11}, publisher = {\{IOP\} Publishing}, pages = {023010}, number = {2}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F11{\%}2F2{\%}2F023010} } @Article { 710950097354_2009, author = {Schleich, W. P.}, title = {Theoretical Femtosecond Physics}, year = {2009}, journal = {Physik Journal}, volume = {8}, pages = {53} } @Inproceedings { 398940762302_2009, author = {Kajari, E. and Buser, M. and Feiler, C. and Schleich, W. P.}, title = {Rotation in Relativity and the Propagation of Light}, year = {2009}, booktitle = {Atom Optics and Space Physics}, journal = {Proceedings of the International School of Physics \dqEnrico Fermi\dq}, publisher = {IOS Press}, address = {Amsterdam, Oxford, Tokyo, Washington DC}, editor = {E. Arimondo, W. Ertmer, E. M. Rasel, and W. P. Schleich}, pages = {45-148} } @Article { PhysRevB.80.134515, author = {Vogel, K. and Schleich, W. P. and Kato, T. and Koelle, D. and Kleiner, R. and Goldobin, E.}, title = {Theory of fractional vortex escape in a long Josephson junction}, year = {2009}, month = {Oct}, DOI = {10.1103/PhysRevB.80.134515}, journal = {Phys. Rev. B}, volume = {80}, publisher = {American Physical Society}, pages = {134515}, file_url = {https://link.aps.org/doi/10.1103/PhysRevB.80.134515} } @Inproceedings { 536307872642_2009, author = {Arimondo, E. and Ertmer, W. and Rasel, E. M. and Schleich, W. P.}, title = {Preface}, year = {2009}, booktitle = {Atom Optics and Space Physics}, journal = {Proceedings of the International School of Physics \dqEnrico Fermi\dq}, publisher = {IOS Press}, address = {Amsterdam, Oxford, Tokyo, Washington DC}, editor = {E. Arimondo, W. Ertmer, E.M. Rasel and W.P. Schleich}, pages = {XXIII-XVI} } @Article { Feiler2009, author = {Feiler, C. and Buser, M. and Kajari, E. and Schleich, W. P. and Rasel, E. M. and O'Connell, R. F.}, title = {New Frontiers at the Interface of General Relativity and Quantum Optics}, abstract = {In the present paper we follow three major themes: (i) concepts of rotation in general relativity, (ii) effects induced by these generalized rotations, and (iii) their measurement using interferometry. Our journey takes us from the Foucault pendulum via the Sagnac interferometer to manifestations of gravito-magnetism in double binary pulsars and in G\{\dqo\}del's Universe. Throughout our article we emphasize the emerging role of matter wave interferometry based on cold atoms or Bose--Einstein condensates leading to superior inertial sensors. In particular, we advertise recent activities directed towards the operation of a coherent matter wave interferometer in an extended free fall.}, year = {2009}, month = {Dec}, day = {01}, issn = {1572-9672}, DOI = {10.1007/s11214-009-9613-7}, journal = {Space Science Reviews}, volume = {148}, pages = {123--147}, number = {1}, file_url = {https://doi.org/10.1007/s11214-009-9613-7} } @Article { Ertmer2009, author = {Ertmer, W. and Schubert, C. and Wendrich, T. and Gilowski, M. and Zaiser, M. and Zoest, T. v. and Rasel, E. and Bord\{\'\{e\}\}, Ch. J. and Clairon, A. and Laurent, P. and Lemonde, P. and Santarelli, G. and Schleich, W. and Cataliotti, F. S. and Inguscio, M. and Poli, N. and Sorrentino, F. and Modugno, C. and Tino, G. M. and Gill, P. and Klein, H. and Margolis, H. and Reynaud, S. and Salomon, C. and Lambrecht, A. and Peik, E. and Jentsch, C. and Johann, U. and Rathke, A. and Bouyer, P. and Cacciapuoti, L. and De Natale, P. and Christophe, B. and Foulon, B. and Touboul, P. and Maleki, L. and Yu, N. and Turyshev, S. G. and Anderson, J. D. and Walser, R. and Vigu\{\'\{e\}\}, J. and B\{\"\{u\}\}chner, M. and Angonin, M.-C. and Delva, P. and Tourrenc, P. and Bingham, R. and Kent, B. and Wicht, A. and Wang, L. J. and Bongs, K. and Dittus, Hj. and L\{\"\{a\}mmerzahl, C. and Theil, S. and Sengstock, K. and Peters, A. and M\{\"\{u\}\}ller, T. and Arndt, M. and Iess, L. and Bondu, F. and Brillet, A. and Samain, E. and Chiofalo, M. L. and Levi, F. and Calonico, D.}, title = {Matter wave explorer of gravity (MWXG)}, abstract = {In response to ESA's Call for proposals of 5 March 2007 of the COSMIC VISION 2015--2025 plan of the ESA science programme, we propose a M-class satellite mission to test of the Equivalence Principle in the quantum domain by investigating the extended free fall of matter waves instead of macroscopic bodies as in the case of GAUGE, MICROSCOPE or STEP. The satellite, called Matter Wave Explorer of Gravity, will carry an experiment to test gravity, namely the measurement of the equal rate of free fall with various isotopes of distinct atomic species with precision cold atom interferometry in the vicinity of the earth. This will allow for a first quantum test the Equivalence Principle with spin polarised particles and with pure fermionic and bosonic atomic ensembles. Due to the space conditions, the free fall of Rubidium and Potassium isotopes will be compared with a maximum accelerational sensitivity of 5\{\textperiodcentered\}10\{\thinspace\}−\{\thinspace\}16 m/s2 corresponding to an accuracy of the test of the Equivalence Principle of 1 part in 1016. Besides the primary scientific goal, the quantum test of the Equivalence Principle, the mission can be extended to provide additional information about the gravitational field of the earth or for testing theories of fundamental processes of decoherence which are investigated by various theory groups in the context of quantum gravity phenomenology. In this proposal we present in detail the mission objectives and the technical aspects of the proposed mission.}, year = {2009}, month = {Mar}, day = {01}, issn = {1572-9508}, DOI = {10.1007/s10686-008-9125-6}, journal = {Experimental Astronomy}, volume = {23}, pages = {611--649}, number = {2}, file_url = {https://doi.org/10.1007/s10686-008-9125-6} } @Inproceedings { 175485283129_2009, author = {Arimondo, E. and Ertmer, W. and Rasel, E. M. and Schleich, W. P.}, title = {In memoriam of J\{\"\{u\}\}rgen Ehlers}, year = {2009}, booktitle = {Atom Optics and Space Physics}, journal = {Proceedings of the International School of Physics \dqEnrico Fermi\dq}, publisher = {IOS Press}, address = {Amsterdam, Oxford, Tokyo, Washington DC}, editor = {E. Arimondo, W. Ertmer, E. M. Rasel, and W. P. Schleich}, pages = {IX-XI} } @Article { doi:10.1080/09500340903194625, author = {W\{\"\{o\}\}lk, S. and Feiler, C. and Schleich, W. P.}, title = {Factorization of numbers with truncated Gauss sums at rational arguments}, year = {2009}, DOI = {10.1080/09500340903194625}, journal = {Journal of Modern Optics}, volume = {56}, publisher = {Taylor \{\\&\} Francis}, pages = {2118-2124}, number = {18-19} } @Inbook { 917518848536_2009, author = {Mack, R. and Schleich, W. P. and Haase, D. and Maier, H.}, title = {Factorization}, year = {2009}, booktitle = {Mathematical Analysis of Evolution, Information, and Complexity}, publisher = {Wiley VCH}, address = {Weinheim}, editor = {W. Arendt and W. Schleich}, pages = {395-431} } @Article { PhysRevA.80.022714, author = {Efremov, M. A. and Plimak, L. and Berg, B. and Ivanov, M. Yu. and Schleich, W. P.}, title = {Efimov states in atom-molecule collisions}, year = {2009}, month = {Aug}, DOI = {10.1103/PhysRevA.80.022714}, journal = {Phys. Rev. A}, volume = {80}, publisher = {American Physical Society}, pages = {022714}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.80.022714} } @Article { PhysRevA.80.033624, author = {Berg, B. and Plimak, L. I. and Polkovnikov, A. and Olsen, M. K. and Fleischhauer, M. and Schleich, W. P.}, title = {Commuting Heisenberg operators as the quantum response problem: Time-normal averages in the truncated Wigner representation}, year = {2009}, month = {Sep}, DOI = {10.1103/PhysRevA.80.033624}, journal = {Phys. Rev. A}, volume = {80}, publisher = {American Physical Society}, pages = {033624}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.80.033624} } @Article { 901348335156_2008, author = {Pfister, H. and Schleich, W. P.}, title = {Zum Gedenken an John Archibald Wheeler}, year = {2008}, journal = {Physik Journal}, volume = {7}, pages = {126} } @Article { Walser_2008, author = {Walser, R. and Goldobin, E. and Crasser, O. and Koelle, D. and Kleiner, R. and Schleich, W. P.}, title = {Semifluxons in superconductivity and cold atomic gases}, abstract = {Josephson junctions (JJs) and junction arrays are well-studied devices in superconductivity. With external magnetic fields one can modulate the phase in a long junction and create traveling, solitonic waves of magnetic flux, called fluxons. Today, it is also possible to devise two different types of junctions: depending on the sign of the critical current density , they are called 0- or π-junctions. In turn, a 0–π junction is formed by joining two of these junctions. As a result, one obtains a pinned Josephson vortex of fractional magnetic flux, at the 0–π boundary. Here, we analyze this arrangement of superconducting junctions in the context of an atomic bosonic quantum gas, where two-state atoms in a double well trap are coupled in an analogous fashion. There, an all-optical 0–π JJ is created by the phase of a complex valued Rabi frequency and we derive a discrete four-mode model for this situation, which qualitatively resembles a semifluxon.}, year = {2008}, month = {apr}, DOI = {10.1088/1367-2630/10/4/045020}, journal = {New Journal of Physics}, volume = {10}, publisher = {\{IOP\} Publishing}, pages = {045020}, number = {4}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F10{\%}2F4{\%}2F045020} } @Article { doi:10.1002/prop.200810535, author = {Marzoli, I. and Kaplan, A. E. and Saif, F. and Schleich, W. P.}, title = {Quantum carpets of a slightly relativistic particle}, abstract = {Abstract We analyze the structures emerging in the spacetime representation of the probability density woven by a slightly relativistic particle caught in a one-dimensional box. In particular, we evaluate the relativistic effects on the revival time and the specific changes produced in the intermode traces, which quantum carpets consist of. Moreover, we present a detailed mathematical analysis of such quantum carpets pursuing the approach of a kernel. Here we represent the probability distribution as a superposition of interfering Airy function-type structures along straight world lines. We also show that this phenomenon can be enhanced by many orders of magnitude in semiconductors with narrow band-gap (e.g. as in InSb) and small effective mass of the electron, whereby due to the strong nonparabolicity of the semiconductor conduction band, the electron energy vs momentum dispersion relation behaves in a pseudo-relativistic way.}, year = {2008}, DOI = {10.1002/prop.200810535}, journal = {Fortschritte der Physik}, volume = {56}, pages = {967-992}, number = {10}, keywords = {wave packets, one-dimensional box, Talbot effect, Green function}, file_url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/prop.200810535} } @Incollection { 280266785891_2008, author = {Schleich, W. P.}, title = {Publikationsverhalten in der Physik}, year = {2008}, booktitle = {Publikationsverhalten in unterschiedlichen Disziplinen, Beitr\{\"\{a\}ge zur Beurteilung von Forschungsleistungen}, volume = {12}, series = {Diskussionspapiere der Alexander von Humboldt-Stiftung} } @Inproceedings { 435289537294_2008, author = {\{\v\{S\}\}tefa\{\v\{n\}\}\{\'\{a\}\}k, M. and Merkel, W. and Mehring, M. and Schleich, W. P.}, title = {NMR implementation of exponential sums for integer factorization}, year = {2008}, journal = {Contemporary Physics: Proceedings of the International Symposium , National Centre for Physics Islamabad, Pakistan 26-30 March 2007}, publisher = {World Scientific}, address = {Singapore}, editor = {J. Aslam, F. Hussain and Riazuddin}, pages = {87-94} } @Article { 153328780450_2008, author = {Schleich, W. P.}, title = {Nachruf auf Willis Eugene Lamb}, year = {2008}, journal = {Physik Journal}, volume = {7}, pages = {127} } @Article { PhysRevLett.100.030201, author = {Gilowski, M. and Wendrich, T. and M\{\"\{u\}\}ller, T. and Jentsch, Ch. and Ertmer, W. and Rasel, E. M. and Schleich, W. P.}, title = {Gauss Sum Factorization with Cold Atoms}, year = {2008}, month = {Jan}, DOI = {10.1103/PhysRevLett.100.030201}, journal = {Phys. Rev. Lett.}, volume = {100}, publisher = {American Physical Society}, pages = {030201}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.100.030201} } @Article { 352924221748_2008, author = {Goldobin, E. and Kleiner, R. and K\{\"\{o\}\}lle, D. and Schleich, W. P. and Vogel, K. and Walser, R.}, title = {Fraktionale Flussquanten, Steuerbare \dqAtome\dq im Supraleiter}, year = {2008}, booktitle = {Themenheft Forschung}, journal = {Quantenmaterie}, volume = {5}, publisher = {Universit\{\"\{a\}t Stuttgart}, pages = {22-31} } @Article { _tefa_k_2008, author = {\{\v\{S\}\}tefa\{\v\{n\}\}\{\'\{a\}\}k, M. and Haase, D. and Merkel, W. and Zubairy, M. S. and Schleich, W. P.}, title = {Factorization with exponential sums}, abstract = {We generalize the concept of factorization using truncated Gauss sums to exponential sums where the phase increases with the jth power of the summation index. For such sums the number of terms needed to suppress ghost factors of N scales as . Unfortunately, this advantageous scaling law is accompanied by a disadvantage: the gap between factors and non-factors decreases rapidly with increasing power j and as a consequence it gets more difficult to identify factors. This feature serves as our motivation to study sums with an exponential phase. Our numerical simulations indicate that in this case the scaling law is logarithmic and that we retain a significant gap between factors and non-factors.}, year = {2008}, month = {jul}, DOI = {10.1088/1751-8113/41/30/304024}, journal = {Journal of Physics A: Mathematical and Theoretical}, volume = {41}, publisher = {\{IOP\} Publishing}, pages = {304024}, number = {30}, file_url = {https://doi.org/10.1088{\%}2F1751-8113{\%}2F41{\%}2F30{\%}2F304024} } @Article { PhysRevLett.100.030202, author = {Bigourd, D. and Chatel, B. and Schleich, W. P. and Girard, B.}, title = {Factorization of Numbers with the Temporal Talbot Effect: Optical Implementation by a Sequence of Shaped Ultrashort Pulses}, year = {2008}, month = {Jan}, DOI = {10.1103/PhysRevLett.100.030202}, journal = {Phys. Rev. Lett.}, volume = {100}, publisher = {American Physical Society}, pages = {030202}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.100.030202} } @Article { Eckart_2008, author = {Eckart, M. and Walser, R. and Schleich, W. P.}, title = {Exploring the growth of correlations in a quasi one-dimensional trapped Bose gas}, abstract = {Phase correlations, density fluctuations and three-body loss rates are relevant for many experiments in quasi one-dimensional geometries. Extended mean-field theory is used to evaluate correlation functions up to third order for a quasi one-dimensional trapped Bose gas at zero and finite temperature. At zero temperature and in the homogeneous limit, we also study the transition from the weakly correlated Gross–Pitaevskii regime to the strongly correlated Tonks–Girardeau regime analytically. We compare our results with the exact Lieb–Liniger solution for the homogeneous case and find good agreement up to the cross-over regime.}, year = {2008}, month = {apr}, DOI = {10.1088/1367-2630/10/4/045024}, journal = {New Journal of Physics}, volume = {10}, publisher = {\{IOP\} Publishing}, pages = {045024}, number = {4}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F10{\%}2F4{\%}2F045024} } @Article { PhysRevA.75.052107, author = {Dahl, J. P. and Varro, S. and Wolf, A. and Schleich, W. P.}, title = {Wigner functions of s waves}, year = {2007}, month = {May}, DOI = {10.1103/PhysRevA.75.052107}, journal = {Phys. Rev. A}, volume = {75}, publisher = {American Physical Society}, pages = {052107}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.75.052107} } @Article { doi:10.1080/09500340701336535, author = {Dahl, J. P. and Varro, S. and Wolf, A. and Schleich, W. P.}, title = {Weyl–Wigner correspondence in two space dimensions}, year = {2007}, DOI = {10.1080/09500340701336535}, journal = {Journal of Modern Optics}, volume = {54}, publisher = {Taylor \{\\&\} Francis}, pages = {2017-2032}, number = {13-15} } @Article { 702804816882_2007, author = {Ca\{\~\{n\}\}zares, P. and G\{\"\{o\}\}rler, T. and Paz, J. P. and Morigi, G. and Schleich, W. P.}, title = {Signatures of non-locality in the first-order coherence of the scattered light}, year = {2007}, journal = {Laser Physics}, volume = {17}, pages = {903-907} } @Article { doi:10.1142/S0218271807011620, author = {Lewoczko-Adamczyk, W. and Peters, A. and van Zoest, T. and Rasel, E. M. and Ertmer, W. and Vogel, A. and Wildfang, S. and Johannsen, G. and Bongs, K. and Sengstock, K. and Steinmetz, T. and Reichel, J. and K\{\"\{o\}\}nemann, T. and Brinkmann, W. and L\{\"\{a\}mmerzahl, C. and Dittus, H. J. and Nandi, G. and Schleich, W. and Walser, R.}, title = {Rubidium Bose-Einstein condensate under microgravity}, abstract = {Weightlessness promises to substantially extend the science of quantum gases toward presently inaccessible regimes of low temperatures, macroscopic dimensions of coherent matter waves, and enhanced duration of unperturbed evolution. With the long-term goal of studying cold quantum gases on a space platform, we currently focus on the implementation of an 87Rb Bose–Einstein condensate (BEC) experiment under microgravity conditions at the ZARM drop tower in Bremen (Germany). Special challenges in the construction of the experimental setup are posed by a low volume of the drop capsule (< 1 m3) as well as critical vibrations during capsule release and peak decelerations of up to 50 g during recapture at the bottom of the tower. All mechanical and electronic components have thus been designed with stringent demands on miniaturization, mechanical stability and reliability. Additionally, the system provides extensive remote control capabilities as it is not manually accessible in the tower two hours before and during the drop. We present the robust system and show results from first tests at the drop tower.}, year = {2007}, DOI = {10.1142/S0218271807011620}, journal = {International Journal of Modern Physics D}, volume = {16}, pages = {2447-2454}, number = {12b} } @Article { Grupp_2007, author = {Grupp, M. and Walser, R. and Schleich, W. P. and Muramatsu, A. and Weitz, M.}, title = {Resonant Feshbach scattering of fermions in one-dimensional optical lattices}, abstract = {We consider Feshbach scattering of fermions in a one-dimensional optical lattice. By formulating the scattering theory in the crystal momentum basis, one can exploit the lattice symmetry and factorize the scattering problem in terms of centre-of-mass and relative momentum in the reduced Brillouin zone scheme. Within a single-band approximation, we can tune the position of a Feshbach resonance with the centre-of-mass momentum due to the non-parabolic form of the energy band.}, year = {2007}, month = {jun}, DOI = {10.1088/0953-4075/40/13/014}, journal = {Journal of Physics B: Atomic, Molecular and Optical Physics}, volume = {40}, publisher = {\{IOP\} Publishing}, pages = {2703--2718}, number = {13}, file_url = {https://doi.org/10.1088{\%}2F0953-4075{\%}2F40{\%}2F13{\%}2F014} } @Article { doi:10.1080/09500340701621266, author = {Bongs, K. and Brinkmann, W. and Dittus, H. and Ertmer, W. and G\{\"\{o\}\}kl\{\"\{u\}\}, E. and Johannsen, G. and Kajari, E. and K\{\"\{o\}\}nemann, T. and L\{\"\{a\}mmerzahl, C. and Lewoczko-Adamczyk, W. and Nandi, G. and Peters, A. and Rasel, E. M. and Schleich, W. P. and Schiemangk, M. and Sengstock, K. and Vogel, A. and Walser, R. and Wildfang, S.}, title = {Realization of a magneto-optical trap in microgravity}, year = {2007}, DOI = {10.1080/09500340701621266}, journal = {Journal of Modern Optics}, volume = {54}, publisher = {Taylor \{\\&\} Francis}, pages = {2513-2522}, number = {16-17} } @Article { PhysRevLett.98.120502, author = {Mehring, M. and M\{\"\{u\}\}ller, K. and Averbukh, I. Sh. and Merkel, W. and Schleich, W. P.}, title = {NMR Experiment Factors Numbers with Gauss Sums}, year = {2007}, month = {Mar}, DOI = {10.1103/PhysRevLett.98.120502}, journal = {Phys. Rev. Lett.}, volume = {98}, publisher = {American Physical Society}, pages = {120502}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.98.120502} } @Article { doi:10.1080/09500340600736843, author = {Zippilli, S. and Morigi, G. and Schleich, W. P.}, title = {Ground state cooling in a bad cavity}, year = {2007}, DOI = {10.1080/09500340600736843}, journal = {Journal of Modern Optics}, volume = {54}, publisher = {Taylor \{\\&\} Francis}, pages = {1595-1606}, number = {11} } @Article { _tefa_k_2007, author = {\{\v\{S\}\}tefa\{\v\{n\}\}\{\'\{a\}\}k, M. and Merkel, W. and Schleich, W. P. and Haase, D. and Maier, H.}, title = {Factorization with Gauss sums: scaling properties of ghost factors}, abstract = {Recent experiments have shown that truncated Gauss sums allow us to find the factors of an integer N. This method relies on the fact that for a factor the absolute value of the Gauss sum is unity. However, for every integer N there exist integers which are not factors, but where the Gauss sum reaches a value which is arbitrarily close to unity. In order to distinguish such ghost factors from real factors we need to amplify this difference. We show that a proper choice of the truncation parameter of the Gauss sum suppresses the ghost factors below a threshold value. We derive the scaling law of the truncation parameter on the number to be factored. Moreover, we show that this scaling law is also necessary for the success of our factorization scheme, even if we relax the threshold or allow limited error tolerance.}, year = {2007}, month = {oct}, DOI = {10.1088/1367-2630/9/10/370}, journal = {New Journal of Physics}, volume = {9}, publisher = {\{IOP\} Publishing}, pages = {370--370}, number = {10}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F9{\%}2F10{\%}2F370} } @Inbook { 392321525649_2007, author = {Merkel, W. and Averbukh, I. Sh. and Girard, B. and Mehring, M. and Paulus, G. G. and Schleich, W. P.}, title = {Factorization of Numbers with Physical Systems}, year = {2007}, booktitle = {Elements of Quantum Information}, publisher = {Wiley-VCH}, address = {Weinheim}, editor = {W. P. Schleich and H. Walther}, pages = {339-353} } @Article { PhysRevA.76.063617, author = {Nandi, G. and Walser, R. and Kajari, E. and Schleich, W. P.}, title = {Dropping cold quantum gases on Earth over long times and large distances}, year = {2007}, month = {Dec}, DOI = {10.1103/PhysRevA.76.063617}, journal = {Phys. Rev. A}, volume = {76}, publisher = {American Physical Society}, pages = {063617}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.76.063617} } @Inproceedings { 454932151138_2007, author = {van Zoest, T. and M\{\"\{u\}\}ller, T. and Wendrich, T. and Gilowski, M. and Rasel, E. M. and K\{\"\{o\}\}nemann, T. and L\{\"\{a\}mmerzahl, C. and Dittus, H. J. and Vogel, A. and Bongs, K. and Sengstock, K. and Lewoczko, W. and Peters, A. and Steinmetz, T. and Reichel, J. and Nandi, G. and Schleich, W. and Walser, R. and Ertmer, W.}, title = {Developments toward atomic quantum sensors}, year = {2007}, DOI = {10.1117/12.704287}, booktitle = {Complex Light and Optical Forces}, journal = {Proc. SPIE}, volume = {6483} } @Article { PhysRevA.75.033420, author = {Merkel, W. and Mack, H. and Freyberger, M. and Kozlov, V. V. and Schleich, W. P. and Shore, B. W.}, title = {Coherent transport of single atoms in optical lattices}, year = {2007}, month = {Mar}, DOI = {10.1103/PhysRevA.75.033420}, journal = {Phys. Rev. A}, volume = {75}, publisher = {American Physical Society}, pages = {033420}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.75.033420} } @Article { PhysRevA.76.023417, author = {Merkel, W. and Mack, H. and Schleich, W. P. and Lutz, E. and Paulus, G. G. and Girard, B.}, title = {Chirping a two-photon transition in a multistate ladder}, year = {2007}, month = {Aug}, DOI = {10.1103/PhysRevA.76.023417}, journal = {Phys. Rev. A}, volume = {76}, publisher = {American Physical Society}, pages = {023417}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.76.023417} } @Article { doi:10.1142/S0218271807011358, author = {van Zoest, T. and M\{\"\{u\}\}ller, T. and Wendrich, T. and Gilowski, M. and Rasel, E. M. and Ertmer, W. and K\{\"\{o\}\}nemann, T. and L\{\"\{a\}mmerzahl, C. and Dittus, H. J. and Vogel, A. and Bongs, K. and Sengstock, K. and Lewoczko, W. and Peters, A. and Steinmetz, T. and Reichel, J. and Nandi, G. and Schleich, W. and Walser, R.}, title = {Atomic Quantum Sensors in Space}, abstract = { In this article we present actual projects concerning high resolution measurements developed for future space missions based on ultracold atoms at the Institut f\{\"\{u\}\}r Quantenoptik (IQ) of the University of Hannover. This work involves the realization of a Bose–Einstein condensate in a microgravitational environment and of an inertial atomic quantum sensor. }, year = {2007}, DOI = {10.1142/S0218271807011358}, journal = {International Journal of Modern Physics D}, volume = {16}, pages = {2421-2429}, number = {12b} } @Article { TINO2007159, author = {Tino, G. M. and Cacciapuoti, L. and Bongs, K. and Bord\{\'\{e\}\}, Ch. J. and Bouyer, P. and Dittus, H. and Ertmer, W. and G\{\"\{o\}\}rlitz, A. and Inguscio, M. and Landragin, A. and Lemonde, P. and L\{\"\{a\}mmerzahl, C. and Peters, A. and Rasel, E. and Reichel, J. and Salomon, C. and Schiller, S. and Schleich, W. and Sengstock, K. and Sterr, U. and Wilkens, M.}, title = {Atom interferometers and optical atomic clocks: New quantum sensors for fundamental physics experiments in space}, abstract = {We present projects for future space missions using new quantum devices based on ultracold atoms. They will enable fundamental physics experiments testing quantum physics, physics beyond the standard model of fundamental particles and interactions, special relativity, gravitation and general relativity.}, year = {2007}, issn = {0920-5632}, DOI = {https://doi.org/10.1016/j.nuclphysbps.2006.12.061}, journal = {Nuclear Physics B - Proceedings Supplements}, volume = {166}, pages = {159 - 165}, file_url = {http://www.sciencedirect.com/science/article/pii/S0920563206010152}, note = {Proceedings of the Third International Conference on Particle and Fundamental Physics in Space} } @Article { Koenemann2007, author = {K\{\"\{o\}\}nemann, T. and Brinkmann, W. and G\{\"\{o\}\}kl\{\"\{u\}\}, E. and L\{\"\{a\}mmerzahl, C. and Dittus, H. and Zoest, T. and Rasel, E. M. and Ertmer, W. and Lewoczko-Adamczyk, W. and Schiemangk, M. and Peters, A. and Vogel, A. and Johannsen, G. and Wildfang, S. and Bongs, K. and Sengstock, K. and Kajari, E. and Nandi, G. and Walser, R. and Schleich, W. P.}, title = {A freely falling magneto-optical trap drop tower experiment}, abstract = {We experimentally demonstrate the possibility of preparing ultracold atoms in the environment of weightlessness at the earth-bound short-term microgravity laboratory Drop Tower Bremen, a facility of ZARM -- University of Bremen. Our approach is based on a freely falling magneto-optical trap (MOT) drop tower experiment performed within the ATKAT collaboration (``Atom-Catapult'') as a preliminary part of the QUANTUS pilot project (``Quantum Systems in Weightlessness'') pursuing a Bose--Einstein condensate (BEC) in microgravity at the drop tower [1, 2].}, year = {2007}, month = {Dec}, day = {01}, issn = {1432-0649}, DOI = {10.1007/s00340-007-2863-8}, journal = {Applied Physics B}, volume = {89}, pages = {431--438}, number = {4}, file_url = {https://doi.org/10.1007/s00340-007-2863-8} } @Inbook { 452859384068_2006, author = {Haug, F. and Freyberger, M. and Vogel, K. and Schleich, W. P.}, title = {Quantum Optics}, year = {2006}, DOI = {10.1007/978-3-540-47008-3\_2}, booktitle = {Laser Physics and Application}, volume = {VIII/1A2}, publisher = {Springer}, address = {Berlin, Heidelberg}, series = {Laser Fundamentals, Landolt-B\{\"\{o\}\}rnstein}, editor = {H. Weber, G. Herziger and R. Poprawe}, pages = {3-46}, web_url = {https://materials.springer.com/lb/docs/sm\_lbs\_978-3-540-47008-3\_2} } @Article { PLIMAK2006311, author = {Plimak, L. I. and Wei\{\"\{s\}\}, C. and Walser, R. and Schleich, W. P.}, title = {Quantum dynamics of atomic coherence in a spin-1 condensate: Mean-field versus many-body simulation}, abstract = {We analyse and numerically simulate the full many-body quantum dynamics of a spin-1 condensate in the single spatial mode approximation. Initially, the condensate is in a “ferromagnetic” state with all spins aligned along the y axis and the magnetic field pointing along the z axis. In the course of evolution the spinor condensate undergoes a characteristic change of symmetry, which in a real experiment could be a signature of spin-mixing many-body interactions. The results of our simulations are conveniently visualised within the picture of irreducible tensor operators.}, year = {2006}, issn = {0030-4018}, DOI = {https://doi.org/10.1016/j.optcom.2006.03.074}, journal = {Optics Communications}, volume = {264}, pages = {311 - 320}, number = {2}, keywords = {Cold atoms, Trapped atoms, Bose condensate, Spinor condensate, Nonequilibrium dynamics, Many Body Theory}, file_url = {http://www.sciencedirect.com/science/article/pii/S0030401806004913}, note = {Quantum Control of Light and Matter} } @Inbook { Freyberger2006, author = {Freyberger, M. and Vogel, K. and Schleich, W. and O'Connell, R.}, title = {Quantized Field Effects}, abstract = {The electromagnetic field appears almost everywhere in physics. Following the introduction of Maxwell's equations in 1864, Max Planck initiated quantum theory when he discovered h\{\thinspace\}=\{\thinspace\}2\$\pi\$ℏ in the laws of black-body radiation. In 1905 Albert Einstein explained the photoelectric effect on the hypothesis of a corpuscular nature of radiation and in 1917 this paradigm led to a description of the interaction between atoms and electromagnetic radiation.}, year = {2006}, isbn = {978-0-387-26308-3}, DOI = {10.1007/978-0-387-26308-3\_78}, publisher = {Springer}, address = {New York, NY}, editor = {G. Drake}, pages = {1141--1165}, file_url = {https://doi.org/10.1007/978-0-387-26308-3\_78} } @Article { doi:10.1002/prop.200610315, author = {Merkel, W. and Averbukh, I. Sh. and Girard, B. and Paulus, G. G. and Schleich, W. P.}, title = {Factorization of numbers with physical systems}, abstract = {Abstract The periodicity properties of Gauss sums allow us to factor integer numbers. We show that the excitation probability amplitudes of appropriate quantum systems interacting with specific laser fields are determined by Gauss sums. The resulting probabilities are experimentally accessible by measuring the fluorescence from this level. In particular, we discuss a two-photon transition in a ladder system driven by a chirped laser pulse. In addition, we consider two realizations of laser driven one-photon transitions. For each quantum system we demonstrate the power of this factorization scheme using numerical examples.}, year = {2006}, DOI = {10.1002/prop.200610315}, journal = {Fortschritte der Physik}, volume = {54}, pages = {856-865}, number = {8‐10}, keywords = {Gauss sums, chirped pulses, factorization of numbers}, file_url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/prop.200610315} } @Article { PhysRevA.74.042323, author = {Dahl, J. P. and Mack, H. and Wolf, A. and Schleich, W. P.}, title = {Entanglement versus negative domains of Wigner functions}, year = {2006}, month = {Oct}, DOI = {10.1103/PhysRevA.74.042323}, journal = {Phys. Rev. A}, volume = {74}, publisher = {American Physical Society}, pages = {042323}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.74.042323} } @Article { PhysRevA.73.050701, author = {Grupp, M. and Nandi, G. and Walser, R. and Schleich, W. P.}, title = {Collective Feshbach scattering of a superfluid droplet from a mesoscopic two-component Bose-Einstein condensate}, year = {2006}, month = {May}, DOI = {10.1103/PhysRevA.73.050701}, journal = {Phys. Rev. A}, volume = {73}, publisher = {American Physical Society}, pages = {050701}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.73.050701} } @Article { doi:10.1002/lapl.200510055, author = {Petropavlovsky, S. V. and Yakovlev, V. P. and Efremov, M. A. and Fedorov, M. V. and Schleich, W. P.}, title = {Coherent array of non-spreading atomic wave packets in absorptive optical potentials}, abstract = {Abstract The results on non-spreading Michelangelo wave packets [7, 8] are generalized to the case of a semi-open two-level system when some fraction of atoms falls back to the lower state due to spontaneous transitions. The proposed approach is based on the solution of the Generalized Optical Bloch Equations for the atomic density matrix. The spatial features of arising nonspreading wave packets as well as the atomic momentum distribution are compared with the case of an open two-level system. (© 2006 by Astro, Ltd. Published exclusively by WILEY-VCH Verlag GmbH \\{\\&\} Co. KGaA)}, year = {2006}, DOI = {10.1002/lapl.200510055}, journal = {Laser Physics Letters}, volume = {3}, pages = {31-36}, number = {1}, keywords = {atom optics, wave packets, lithography}, file_url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/lapl.200510055} } @Article { doi:10.1142/S021797920603439X, author = {Merkel, W. and Crasser, O. and Haug, F. and Lutz, E. and Mack, H. and Freyberger, M. and Schleich, W. P. and Averbukh, I. and Bienert, M. and Girard, B. and Maier, H. and Paulus, G. G.}, title = {Chirped pulses, Gau\{\"\{s\}\} sums and the factorization of numbers}, abstract = { We present two physical systems which make Gau\{\"\{s\}\} sums experimentally accessible. The probability amplitude for a two-photon transition in an appropriate ladder system driven by a chirped laser pulse is determined by a Gau\{\"\{s\}\} sum. The autocorrelation function of a quantum rotor is also of the form of a Gau\{\"\{s\}\} sum. These examples suggest rules for determining prime factor components on the basis of the properties of Gau\{\"\{s\}\} sums. Moreover, we show how Gau\{\"\{s\}\} sums are related to the Riemann Zeta function. }, year = {2006}, DOI = {10.1142/S021797920603439X}, journal = {International Journal of Modern Physics B}, volume = {20}, pages = {1893-1916}, number = {11n13} } @Article { Vogel2006, author = {Vogel, A. and Schmidt, M. and Sengstock, K. and Bongs, K. and Lewoczko, W. and Schuldt, T. and Peters, A. and van Zoest, T. and Ertmer, W. and Rasel, E. and Steinmetz, T. and Reichel, J. and K\{\"\{o\}\}nemann, T. and Brinkmann, W. and G\{\"\{o\}\}kl\{\"\{u\}\}, E. and L\{\"\{a\}mmerzahl, C. and Dittus, H. J. and Nandi, G. and Schleich, W. P. and Walser, R.}, title = {Bose--Einstein condensates in microgravity}, abstract = {We report the current status of our cooperative effort to realize a 87Rb Bose--Einstein condensate in microgravity. Targeting the long-term goal of studying cold quantum gases on a space platform, we currently focus on the implementation of an experiment at the ZARM drop tower in Bremen. Fulfilling the technical requirements for operation in this facility, the complete experimental setup will fit in a volume of less than 1 m3 with a total mass below 150 kg and a total power consumption of the order of 625 W. The individual parts of the setup, in particular the ultra-compact laser system as a critical component, are presented. In addition, we discuss a first demonstration of the mechanical and frequency control stability of the laser modules. On the theoretical side, we outline the non-relativistic description of a freely falling many-particle system in the rotating frame of the Earth. In particular, we show that the time evolution of a harmonically trapped, collisionally interacting degenerate gas of bosons or fermions is as simple in an accelerated, rotating frame of reference as in an inertial frame. By adopting a co-moving generalized Galilean frame, we can eliminate inertial forces and torques. This leads to important simplifications for numerical simulation of the experiment. }, year = {2006}, month = {Sep}, day = {01}, issn = {1432-0649}, DOI = {10.1007/s00340-006-2359-y}, journal = {Applied Physics B}, volume = {84}, pages = {663--671}, number = {4}, file_url = {https://doi.org/10.1007/s00340-006-2359-y} } @Article { 975740378299_2005, author = {Dahl, J. P. and Greenberger, D. M. and Hall, M. J. W. and S\{\"\{u\}\}\{\"\{s\}\}mann, G. and Wolf, A. and Schleich, W. P.}, title = {Adventures in s-waves}, year = {2005}, journal = {Laser Physics}, volume = {15}, pages = {18-36} } @Article { 251651324639_2005, author = {Schleich, W. P.}, title = {Ein Doppelspalt in der Zeit}, year = {2005}, journal = {Physik Journal}, volume = {4}, pages = {22-23} } @Article { PhysRevA.71.053601, author = {Mohring, B. and Bienert, M. and Haug, F. and Morigi, G. and Schleich, W. P. and Raizen, M. G.}, title = {Extracting atoms on demand with lasers}, year = {2005}, month = {May}, DOI = {10.1103/PhysRevA.71.053601}, journal = {Phys. Rev. A}, volume = {71}, publisher = {American Physical Society}, pages = {053601}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.71.053601} } @Article { Efremov_2005, author = {Efremov, M. A. and Petropavlovsky, S. V. and Fedorov, M. V. and Schleich, W. P. and Yakovlev, V. P.}, title = {Formation of two-dimensional nonspreading atomic wave packets in the field of two standing light waves}, abstract = {The formation of two-dimensional nonspreading atomic wave packets produced in the interaction of a beam of two-level atoms with two standing light waves polarised in the same plane is considered. The mechanism providing a dispersionless particle dynamics is the balance of two processes: a rapid decay of the atomic wave function away from the field nodes due to spontaneous transitions to nonresonance states and the quantum broadening of the wave packets formed in the close vicinity of field nodes. Coordinate-dependent amplitudes and phases of the two-dimensional wave packets were found for the jg=0 ↔ je=1 transition.}, year = {2005}, month = {aug}, DOI = {10.1070/qe2005v035n08abeh009145}, journal = {Quantum Electronics}, volume = {35}, publisher = {\{IOP\} Publishing}, pages = {675--678}, number = {8}, file_url = {https://doi.org/10.1070{\%}2Fqe2005v035n08abeh009145} } @Article { 860558172011_2005, author = {Schleich, W. P. and Walther, H.}, title = {Koh\{\"\{a\}renz und Pr\{\"\{a\}zision, Physik-Nobelpreise f\{\"\{u\}\}r Pionierleistugnen in Quantenoptik und Laserspektroskopie}, year = {2005}, journal = {Physik Journal}, volume = {4}, pages = {21-26} } @Article { PhysRevA.71.043803, author = {Haug, F. and Bienert, M. and Schleich, W. P. and Seligman, T. H. and Raizen, M. G.}, title = {Motional stability of the quantum kicked rotor: A fidelity approach}, year = {2005}, month = {Apr}, DOI = {10.1103/PhysRevA.71.043803}, journal = {Phys. Rev. A}, volume = {71}, publisher = {American Physical Society}, pages = {043803}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.71.043803} } @Article { PhysRevLett.95.110405, author = {St\{\"\{u\}\}tzle, R. and G\{\"\{o\}\}bel, M. C. and H\{\"\{o\}\}rner, Th. and Kierig, E. and Mourachko, I. and Oberthaler, M. K. and Efremov, M. A. and Fedorov, M. V. and Yakovlev, V. P. and van Leeuwen, K. A. H. and Schleich, W. P.}, title = {Observation of Nonspreading Wave Packets in an Imaginary Potential}, year = {2005}, month = {Sep}, DOI = {10.1103/PhysRevLett.95.110405}, journal = {Phys. Rev. Lett.}, volume = {95}, publisher = {American Physical Society}, pages = {110405}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.95.110405} } @Article { PhysRevB.72.054527, author = {Goldobin, E. and Vogel, K. and Crasser, O. and Walser, R. and Schleich, W. P. and Koelle, D. and Kleiner, R.}, title = {Quantum tunneling of semifluxons in a 0-π-0 long Josephson junction}, year = {2005}, month = {Aug}, DOI = {10.1103/PhysRevB.72.054527}, journal = {Phys. Rev. B}, volume = {72}, publisher = {American Physical Society}, pages = {054527}, file_url = {https://link.aps.org/doi/10.1103/PhysRevB.72.054527} } @Article { PhysRevA.69.063606, author = {Nandi, G. and Walser, R. and Schleich, W. P.}, title = {Vortex creation in a trapped Bose-Einstein condensate by stimulated Raman adiabatic passage}, year = {2004}, month = {Jun}, DOI = {10.1103/PhysRevA.69.063606}, journal = {Phys. Rev. A}, volume = {69}, publisher = {American Physical Society}, pages = {063606}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.69.063606} } @Inbook { 400777876733_2004, author = {Freyberger, M. and Haug, F. and Schleich, W. P. and Vogel, K.}, title = {Quantenoptik}, year = {2004}, booktitle = {Bergmann-Sch\{\"\{a\}fer, Lehrbuch der Experimentalphysik}, volume = {3: Optik}, publisher = {Walther de Gruyter}, address = {Berlin}, chapter = {7}, editor = {H. Niedrig} } @Article { Kajari2004, author = {Kajari, E. and Walser, R. and Schleich, W. P. and Delgado, A.}, title = {Sagnac Effect of G\{\"\{o\}\}del's Universe}, abstract = {We present exact expressions for the Sagnac effect of G\{\dqo\}del's Universe. For this purpose we first derive a formula for the Sagnac time delay along a circular path in the presence of an arbitrary stationary metric in cylindrical coordinates. We then apply this result to G\{\dqo\}del's metric for two different experimental situations: First, the light source and the detector are at rest relative to the matter generating the gravitational field. In this case we find an expression that is formally equivalent to the familiar nonrelativistic Sagnac time delay. Second, the light source and the detector are rotating relative to the matter. Here we show that for a special rotation rate of the detector the Sagnac time delay vanishes. Finally we propose a formulation of the Sagnac time delay in terms of invariant physical quantities. We show that this result is very close to the analogous formula of the Sagnac time delay of a rotating coordinate system in Minkowski spacetime.}, year = {2004}, month = {Oct}, day = {01}, issn = {1572-9532}, DOI = {10.1023/B:GERG.0000046184.03333.9f}, journal = {General Relativity and Gravitation}, volume = {36}, pages = {2289--2316}, number = {10}, file_url = {https://doi.org/10.1023/B:GERG.0000046184.03333.9f} } @Article { doi:10.1021/jp049616r, author = {Dahl, J. P. and Schleich, W. P.}, title = {The JWKB Method in Central-Field Problems. Planar Radial Wave Equation and Resolution of Kramers' Dilemma}, year = {2004}, DOI = {10.1021/jp049616r}, journal = {The Journal of Physical Chemistry A}, volume = {108}, pages = {8713-8720}, number = {41} } @Article { doi:10.1002/prop.200410182, author = {Dahl, J. P. and Wolf, A. and Schleich, W. P.}, title = {Interference acceleration of a free particle}, abstract = {We compare and contrast classical and quantum dynamics of a free particle initially prepared in an s-wave. Due to the wave nature of quantum theory the particle experiences an acceleration which depends on the number of space dimensions.}, year = {2004}, DOI = {10.1002/prop.200410182}, journal = {Fortschritte der Physik}, volume = {52}, pages = {1118-1133}, number = {11‐12}, file_url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/prop.200410182} } @Article { doi:10.1142/S0217979204024550, author = {Kurizki, G. and Mazets, I. E. and O'Dell, D. H. J. and Schleich, W. P.}, title = {Bose-Einstein Condensates with Laser-induced Dipole-dipole Interactions beyond the Mean-field Approach}, abstract = { We present a brief review of our recent results concerning non-mean-field effects of laser-induced dipole–dipole interactions on static and dynamical properties of atomic Bose–Einstein condensates. }, year = {2004}, DOI = {10.1142/S0217979204024550}, journal = {International Journal of Modern Physics B}, volume = {18}, pages = {961-974}, number = {07} } @Inbook { 738371960078_2004, author = {Schleich, W. P.}, title = {Foucault’s Pendel}, year = {2004}, booktitle = {Die 10 sch\{\"\{o\}\}nsten Physikexperimente aller Zeiten}, publisher = {Rowohlt-Taschenbuchverlag}, address = {Reinbek} } @Article { doi:10.1142/S021947750400163X, author = {Crasser, O. and Mack, H. and Schleich, W. P.}, title = {Could Fresnel Optics be Quantum Mechanics in Phase Space?}, abstract = { We formulate and argue in favor of the following conjecture: There exists an intimate connection between Wigner's quantum mechanical phase space distribution function and classical Fresnel optics. }, year = {2004}, DOI = {10.1142/S021947750400163X}, journal = {Fluctuation and Noise Letters}, volume = {04}, pages = {L43-L51}, number = {01} } @Article { Mazets_2004, author = {Mazets, I. E. and O'Dell, D. H. J. and Kurizki, G. and Davidson, N. and Schleich, W. P.}, title = {Depletion of a Bose-Einstein condensate by laser-induced dipole-dipole interactions}, abstract = {We study a gaseous atomic Bose–Einstein condensate with laser-induced dipole–dipole interactions using the Hartree–Fock–Bogoliubov theory within the Popov approximation. The dipolar interactions introduce long-range atom–atom correlations which manifest themselves as increased depletion at momenta similar to that of the laser wavelength, as well as a \grqroton’ dip in the excitation spectrum. Surprisingly, the roton dip and the corresponding peak in the depletion are enhanced by raising the temperature above absolute zero.}, year = {2004}, month = {mar}, DOI = {10.1088/0953-4075/37/7/061}, journal = {Journal of Physics B: Atomic, Molecular and Optical Physics}, volume = {37}, publisher = {\{IOP\} Publishing}, pages = {S155--S164}, number = {7}, file_url = {https://doi.org/10.1088{\%}2F0953-4075{\%}2F37{\%}2F7{\%}2F061} } @Article { PhysRevLett.91.010401, author = {Lougovski, P. and Solano, E. and Zhang, Z. M. and Walther, H. and Mack, H. and Schleich, W. P.}, title = {Fresnel Representation of the Wigner Function: An Operational Approach}, year = {2003}, month = {Jun}, DOI = {10.1103/PhysRevLett.91.010401}, journal = {Phys. Rev. Lett.}, volume = {91}, publisher = {American Physical Society}, pages = {010401}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.91.010401} } @Article { 755264504639_2003, author = {Schleich, W. P.}, title = {Volles Engagement f\{\"\{u\}\}r die Universit\{\"\{a\}t Ulm, Emeritiert: Wolfgang Witschel}, year = {2003}, journal = {uni ulm intern, Das Ulmer Universit\{\"\{a\}tsmagazin}, volume = {261}, pages = {25-27} } @Article { doi:10.1002/prop.200310065, author = {Bienert, M. and Haug, F. and Schleich, W. P. and Raizen, M. G.}, title = {Kicked rotor in Wigner phase space}, abstract = {Abstract We develop the Wigner phase space representation of a kicked particle for an arbitrary but periodic kicking potential. We use this formalism to illustrate quantum resonances and anti-resonances.}, year = {2003}, DOI = {10.1002/prop.200310065}, journal = {Fortschritte der Physik}, volume = {51}, pages = {474-486}, number = {4‐5}, file_url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/prop.200310065} } @Article { Botero2003, author = {Botero, J. and Cirone, M. A. and Dahl, J. P. and Straub, F. and Schleich, W. P.}, title = {Geometry, commutation relations and the quantum fictitious force}, abstract = {We express the commutation relation between the operators of the momentum and the radial unit vectors in D dimensions in differential and integral form. We connect this commutator with the quantum fictitious potential emerging in the radial Schr\{\dqo\}dinger equation of an s-wave.}, year = {2003}, month = {Feb}, day = {01}, issn = {1432-0649}, DOI = {10.1007/s00340-003-1113-y}, journal = {Applied Physics B}, volume = {76}, pages = {129--133}, number = {2}, file_url = {https://doi.org/10.1007/s00340-003-1113-y} } @Inbook { doi:10.1142/9789812704634_0039, author = {Botero, J. and Cirone, M. A. and Dahl, J. P. and Delgado, A. and Schleich, W. P.}, title = {Entanglement, Kinetic Energy and the Quantum Fictitious Potential}, abstract = {We discuss the average kinetic energy of N non-interacting quantum particles in its dependence on N. For a peculiar entangled state, the kinetic energy increases quadratically with N, in contrast to its behavior in simple thermodynamics.}, year = {2003}, DOI = {10.1142/9789812704634\_0039}, booktitle = {The Physics of Communication}, journal = {Proceedings of XXII Solvay Conference on Physics}, publisher = {World Scientific}, address = {Singapore}, editor = {I. Antoniou, V. A. Sadovnichy and H. Walther}, pages = {568-575} } @Article { Fedorov2003, author = {Fedorov, M. V. and Efremov, M. A. and Yakovlev, V. P. and Schleich, W. P.}, title = {Dynamics of spontaneous radiation of atoms scattered by a resonance standing light wave}, abstract = {The scattering of atoms by a resonance standing light wave is considered under conditions when the lower of two resonance levels is metastable, while the upper level rapidly decays due to mainly spontaneous radiative transitions to the nonresonance levels of an atom. The diffraction scattering regime is studied, when the Rabi frequency is sufficiently high and many diffraction maxima are formed due to scattering. The dynamics of spontaneous radiation of an atom is investigated. It is shown that scattering slows down substantially the radiative decay of the atom. The regions and characteristics of the power and exponential decay are determined. The adiabatic and nonadiabatic scattering regimes are studied. It is shown that the wave packets of atoms in the metastable and resonance excited states narrow down during scattering. A limiting (minimal) size of the wave packets is found, which is achieved upon nonadiabatic scattering in the case of a sufficiently long interaction time.}, year = {2003}, month = {Sep}, day = {01}, issn = {1090-6509}, DOI = {10.1134/1.1618338}, journal = {Journal of Experimental and Theoretical Physics}, volume = {97}, pages = {522--538}, number = {3}, file_url = {https://doi.org/10.1134/1.1618338} } @Article { 783207047824_2003, author = {Efremov, M. A. and Fedorov, M. and Yakovlev, V. P. and Schleich, W. P.}, title = {Dynamical Suppression of Radiative Decay via Atomic Deflection by a Standing Light Wave}, year = {2003}, journal = {Laser Physics}, volume = {13}, pages = {995-1003}, number = {7} } @Article { doi:10.1002/prop.200310007, author = {Dahl, J. P. and Schleich, W. P.}, title = {An elementary aspect of the Weyl-Wigner representation}, abstract = {Abstract It is an elementary aspect of the Weyl-Wigner representation of quantum mechanics that the dynamical phase-space function corresponding to the square of a quantum-mechanical operator is, in general, different from the square of the function representing the operator itself. We call attention to some conceptual consequences of this fact.}, year = {2003}, DOI = {10.1002/prop.200310007}, journal = {Fortschritte der Physik}, volume = {51}, pages = {85-91}, number = {2‐3}, file_url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/prop.200310007} } @Article { article, author = {Mack, H. and Schleich, W. P.}, title = {A Photon Viewed from Wigner Phase Space}, year = {2003}, DOI = {10.1201/9781420044256.ch5}, journal = {Optics and Photonics News}, volume = {14}, pages = {28-35} } @Article { quantumfictious, author = {Bia\{\l\}ynicki-Birula, I. and Cirone, M. A. and Dahl, J. P. and Seligman, T. H. and Straub, F. and Schleich, W. P.}, title = {Quantum Fictitious Forces}, abstract = {Abstract We present Heisenberg's equation of motion for the radial variable of a free non-relativistic particle in D dimensions. The resulting radial force consists of three contributions: (i) the quantum fictitious force which is either attractive or repulsive depending on the number of dimensions, (ii) a singular quantum force located at the origin, and (iii) the centrifugal force associated with non-vanishing angular momentum. Moreover, we use Heisenberg's uncertainty relation to introduce a lower bound for the kinetic energy of an ensemble of neutral particles. This bound is quadratic in the number of atoms and can be traced back to the repulsive quantum fictitious potential. All three forces arise for a free particle: “Force without force”.}, year = {2002}, DOI = {10.1002/1521-3978(200205)50:5/7<599::AID-PROP599>3.0.CO;2-G}, journal = {Fortschritte der Physik}, volume = {50}, pages = {599-607}, number = {5‐7}, file_url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/1521-3978{\%}28200205{\%}2950{\%}3A5/7{\%}3C599{\%}3A{\%}3AAID-PROP599{\%}3E3.0.CO{\%}3B2-G} } @Article { wavepackets, author = {Mack, H. and Bienert, M. and Haug, F. and Freyberger, M. and Schleich, W. P.}, title = {Wave Packets Can Factorize Numbers}, abstract = {Abstract We draw attention to various aspects of number theory emerging in the time evolution of elementary quantum systems with quadratic phases. Such model systems can be realized in actual experiments. Our analysis paves the way to a new, promising and effective method to factorize numbers.}, year = {2002}, DOI = {10.1002/1521-3951(200210)233:3<408::AID-PSSB408>3.0.CO;2-N}, journal = {physica status solidi (b)}, volume = {233}, pages = {408-415}, number = {3}, keywords = {03.67.–a, 42.25.–p, 42.25.Hz}, file_url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/1521-3951{\%}28200210{\%}29233{\%}3A3{\%}3C408{\%}3A{\%}3AAID-PSSB408{\%}3E3.0.CO{\%}3B2-N} } @Inbook { 614119933535_2002, author = {Mack, H. and Bienert, M. and Haug, F. and Straub, F. and Freyberger, M. and Schleich, W. P.}, title = {Wave Packet Dynamics and Factorization of Numbers}, year = {2002}, DOI = {10.3254/978-1-61499-004-8-369}, booktitle = {Experimental Quantum Computation and Information}, volume = {148}, publisher = {IOS Press}, address = {Amsterdam, Oxford, Tokyo, Washington DC}, series = {Proceedings of the International School of Physics \dqEnrico Fermi\dq}, editor = {F. De Martini and C. Monroe}, pages = {369-384} } @Article { PhysRevLett.89.050403, author = {Bienert, M. and Haug, F. and Schleich, W. P. and Raizen, M. G.}, title = {State Reconstruction of the Kicked Rotor}, year = {2002}, month = {Jul}, DOI = {10.1103/PhysRevLett.89.050403}, journal = {Phys. Rev. Lett.}, volume = {89}, publisher = {American Physical Society}, pages = {050403}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.89.050403} } @Article { Meneghini_2002, author = {Meneghini, S. and Jex, I. and Schleich, W. P. and Yakovlev, V. P.}, title = {Reshaping of atomic waves with two-dimensional optical crystals}, abstract = {We study the dynamics of atomic waves in a two-dimensional light crystal formed by two crossed standing laser fields. The longitudinal modulation of the crystal with the Doppler frequency significantly influences the transversal spatial modulation of the atomic wave. Near the doppleron resonance the atomic density shows a fractional space period. In this case a normally incident wave gives rise to an almost perfect conversion into the first momentum components and the light crystal acts as a highly efficient beamsplitter. The crossing angle, determining the Doppler frequency, is the easy-to-control parameter of the system.}, year = {2002}, month = {apr}, DOI = {10.1088/1464-4266/4/3/301}, journal = {Journal of Optics B: Quantum and Semiclassical Optics}, volume = {4}, publisher = {\{IOP\} Publishing}, pages = {165--171}, number = {3}, file_url = {https://doi.org/10.1088{\%}2F1464-4266{\%}2F4{\%}2F3{\%}2F301} } @Article { Delgado_2002, author = {Delgado, A. and Schleich, W. P. and S\{\"\{u\}\}\{\"\{s\}\}mann, G.}, title = {Quantum gyroscopes and G\{\"\{o\}\}del's universe: entanglement opens a new testing ground for cosmology}, abstract = {Some exact solutions of Einstein's field equations represent a rotating universe. One example is G\{\"\{o\}\}del's cosmological model. Bianchi solutions generalize the G\{\"\{o\}\}del metric and include the expansion of the universe. We propose a measurement of the cosmic rotation using a light or matter wave interferometer based on the Sagnac effect. Entanglement between the quanta employed in this quantum gyroscope enhances the accuracy, thereby coming closer to the more-than-challenging requirements of such experiments.}, year = {2002}, month = {jun}, DOI = {10.1088/1367-2630/4/1/337}, journal = {New Journal of Physics}, volume = {4}, publisher = {\{IOP\} Publishing}, pages = {37--37}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F4{\%}2F1{\%}2F337} } @Inbook { Riedel2002, author = {Riedel, K. and T\{\"\{o\}\}rm\{\"\{a\}, P. and Savichev, V. and Schleich, W. P.}, title = {Control of Dynamical Localization by Additional Quantum Degrees}, abstract = {The phenomenon of localization manifests itself in many quantum mechanical systems ranging from the localization of light in a random medium via Anderson localization of an electronic wave to the motion of atoms in time-dependent laser fields. In all these cases the underlying classical system is chaotic and shows diffusion as a function of time. In contrast, the quantum mechanical counterpart has a localized wave function whose width is governed by the classical diffusion and Planck's constant. In this paper we show that there exists an additional quantum parameter that controls the localization length. In the system of a two-level ion stored in a Paul trap and interacting with a standing wave it is the detuning between the transition frequency and the laser field. We also discuss the effect of decoherence in form of spontaneous emission.}, year = {2002}, isbn = {978-0-306-47097-4}, DOI = {10.1007/0-306-47097-7\_43}, publisher = {Springer US}, address = {Boston, MA}, editor = {P. Kumar, G. M. D'Ariano and O. Hirota}, pages = {321--330}, file_url = {https://doi.org/10.1007/0-306-47097-7\_43} } @Inbook { 891867322489_2002, author = {Bschorr, Th. C. and Fischer, D. G. and Mack, H. and Schleich, W. P. and Freyberger, M.}, title = {Quantum Estimation with Finite Resources}, year = {2002}, booktitle = {Quantum Information Technology}, publisher = {VCH-Wiley}, address = {Weinheim}, editor = {G. Leuchs and Th. Beth} } @Article { PhysRevA.65.052110, author = {T\{\"\{o\}\}rm\{\"\{a\}, P. and Jex, I. and Schleich, W. P.}, title = {Localization and diffusion in Ising-type quantum networks}, year = {2002}, month = {Apr}, DOI = {10.1103/PhysRevA.65.052110}, journal = {Phys. Rev. A}, volume = {65}, publisher = {American Physical Society}, pages = {052110}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.65.052110} } @Article { PhysRevLett.89.060404, author = {Bia\{\l\}ynicki-Birula, I. and Cirone, M. A. and Dahl, J. P. and Fedorov, M. and Schleich, W. P.}, title = {In- and Outbound Spreading of a Free-Particle s-Wave}, year = {2002}, month = {Jul}, DOI = {10.1103/PhysRevLett.89.060404}, journal = {Phys. Rev. Lett.}, volume = {89}, publisher = {American Physical Society}, pages = {060404}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.89.060404} } @Article { PhysRevA.65.052109, author = {Schleich, W. P. and Dahl, J. P.}, title = {Dimensional enhancement of kinetic energies}, year = {2002}, month = {Apr}, DOI = {10.1103/PhysRevA.65.052109}, journal = {Phys. Rev. A}, volume = {65}, publisher = {American Physical Society}, pages = {052109}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.65.052109} } @Article { PhysRevA.65.022109, author = {Dahl, J. P. and Schleich, W. P.}, title = {Concepts of radial and angular kinetic energies}, year = {2002}, month = {Jan}, DOI = {10.1103/PhysRevA.65.022109}, journal = {Phys. Rev. A}, volume = {65}, publisher = {American Physical Society}, pages = {022109}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.65.022109} } @Article { Bia_lslash_ynicki_Birula_2002, author = {Bia\{\l\}ynicki-Birula, I. and Cirone, M. A. and Dahl, J. P. and O'Connell, R. F. and Schleich, W. P.}, title = {Attractive and repulsive quantum forces from dimensionality of space}, abstract = {Two particles of identical mass attract and repel each other even when there exist no classical external forces and their average relative momentum vanishes. This quantum force depends crucially on the number of dimensions of space.}, year = {2002}, month = {aug}, DOI = {10.1088/1464-4266/4/4/326}, journal = {Journal of Optics B: Quantum and Semiclassical Optics}, volume = {4}, publisher = {\{IOP\} Publishing}, pages = {S393--S396}, number = {4}, file_url = {https://doi.org/10.1088{\%}2F1464-4266{\%}2F4{\%}2F4{\%}2F326} } @Article { KONDRASHIN2002319, author = {Kondrashin, M. P. and Schaufler, S. and Schleich, W. P. and Yakovlev, V. P.}, title = {Anomalous kinetics of heavy particles in light media}, abstract = {We use anomalous kinetics to create a narrow non-zero atomic velocity distribution. Moreover, we propose a method to control the anomalous transport of atoms in an optical lattice using a polarization gradient. We derive the threshold for this behavior by two different methods.}, year = {2002}, issn = {0301-0104}, DOI = {https://doi.org/10.1016/S0301-0104(02)00555-4}, journal = {Chemical Physics}, volume = {284}, pages = {319 - 330}, number = {1}, keywords = {Anomalous transport, L\{\'\{e\}\}vi flights, Optical lattice}, file_url = {http://www.sciencedirect.com/science/article/pii/S0301010402005554}, note = {Strange Kinetics} } @Article { Berry_2001, author = {Berry, M. and Marzoli, I. and Schleich, W.}, title = {Quantum carpets, carpets of light}, abstract = {In 1836 Henry Fox Talbot, an inventor of photography, published the results of some experiments in optics that he had previously demonstrated at a British Association meeting in Bristol (figure 1a). “It was very curious to observe that though the grating was greatly out of the focus of the lens...the appearance of the bands was perfectly distinct and well defined...the experiments are communicated in the hope that they may prove interesting to the cultivators of optical science.”}, year = {2001}, month = {jun}, DOI = {10.1088/2058-7058/14/6/30}, journal = {Physics World}, volume = {14}, publisher = {\{IOP\} Publishing}, pages = {39--46}, number = {6}, file_url = {https://doi.org/10.1088{\%}2F2058-7058{\%}2F14{\%}2F6{\%}2F30} } @Article { 204821452766_2001, author = {Cirone, M. A. and Metikas, G. and Schleich, W. P.}, title = {Unusual Bound or Localized States}, year = {2001}, DOI = {10.1515/zna-2001-0109}, journal = {Zeitschrift f\{\"\{u\}\}r Naturforschung A}, volume = {56}, pages = {48-60}, number = {1-2} } @Article { PhysRevA.63.065601, author = {Burnett, K. and Friesch, O. M. and Kneer, B. and Schleich, W. P.}, title = {Spatiotemporal interferometry for trapped atomic Bose-Einstein condensates}, year = {2001}, month = {May}, DOI = {10.1103/PhysRevA.63.065601}, journal = {Phys. Rev. A}, volume = {63}, publisher = {American Physical Society}, pages = {065601}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.63.065601} } @Article { PhysRevA.63.043613, author = {Ruostekoski, J. and Kneer, B. and Schleich, W. P. and Rempe, G.}, title = {Interference of a Bose-Einstein condensate in a hard-wall trap: From the nonlinear Talbot effect to the formation of vorticity}, year = {2001}, month = {Mar}, DOI = {10.1103/PhysRevA.63.043613}, journal = {Phys. Rev. A}, volume = {63}, publisher = {American Physical Society}, pages = {043613}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.63.043613} } @Article { PhysRevA.65.022101, author = {Cirone, M. A. and Rza̧żewski, K. and Schleich, W. P. and Straub, F. and Wheeler, J. A.}, title = {Quantum anticentrifugal force}, year = {2001}, month = {Dec}, DOI = {10.1103/PhysRevA.65.022101}, journal = {Phys. Rev. A}, volume = {65}, publisher = {American Physical Society}, pages = {022101}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.65.022101} } @Article { Gleisberg_2001, author = {Gleisberg, F. and Schleich, W. P. and Wonneberger, W.}, title = {Friedel oscillations in phase space: Wigner function of trapped interacting fermions}, abstract = {The Wigner function W(z,k) for a model of interacting one-dimensional fermions confined to a harmonic trap is evaluated at zero temperature. The model considers two hyperfine states of the same fermionic species and treats the dominant interactions between the two using the bosonization method. Interactions substantially modify the shape of the Wigner function. Irrespective of the sign of the coupling constant, the Friedel oscillations inherent in the Wigner function are enhanced in the k-direction and suppressed in the z-direction.}, year = {2001}, month = {nov}, DOI = {10.1088/0953-4075/34/23/309}, journal = {Journal of Physics B: Atomic, Molecular and Optical Physics}, volume = {34}, publisher = {\{IOP\} Publishing}, pages = {4645--4651}, number = {23}, file_url = {https://doi.org/10.1088{\%}2F0953-4075{\%}2F34{\%}2F23{\%}2F309} } @Article { Cirone_2001, author = {Cirone, M. A. and Dahl, J. P. and Fedorov, M. and Greenberger, D. M. and Schleich, W. P.}, title = {Huygens' principle, the free Schr\{\"\{o\}\}dinger particle and the quantum anti-centrifugal force}, abstract = {Huygens' principle following from the d'Alembert wave equation is not valid in two-dimensional space. A Schr\{\"\{o\}\}dinger particle of vanishing angular momentum moving freely in two dimensions experiences an attractive force - the quantum anti-centrifugal force - towards its centre. We connect these two phenomena by comparing and contrasting the radial propagators of the d'Alembert wave equation and of a free non-relativistic quantum mechanical particle in two and three dimensions.}, year = {2001}, month = {dec}, DOI = {10.1088/0953-4075/35/1/314}, journal = {Journal of Physics B: Atomic, Molecular and Optical Physics}, volume = {35}, publisher = {\{IOP\} Publishing}, pages = {191--203}, number = {1}, file_url = {https://doi.org/10.1088{\%}2F0953-4075{\%}2F35{\%}2F1{\%}2F314} } @Article { doi:10.1063/1.1369661, author = {Warmuth, Ch. and Tortschanoff, A. and Milota, F. and Leibscher, M. and Shapiro, M. and Prior, Y. and Averbukh, I. Sh. and Schleich, W. and Jakubetz, W. and Kauffmann, H. F.}, title = {Molecular quantum dynamics in a thermal system: Fractional wave packet revivals probed by random-phase fluorescence interferometry}, year = {2001}, DOI = {10.1063/1.1369661}, journal = {The Journal of Chemical Physics}, volume = {114}, pages = {9901-9910}, number = {22} } @Article { doi:10.1080/09500340008232204, author = {Bonifacio, R. and Marzoli, I. and Schleich, W. P.}, title = {Non-dissipative decoherence for quantum carpets}, year = {2000}, DOI = {10.1080/09500340008232204}, journal = {Journal of Modern Optics}, volume = {47}, publisher = {Taylor \{\\&\} Francis}, pages = {2891-2904}, number = {14-15} } @Article { CZIRJAK200029, author = {Czirj\{\'\{a\}\}k, A. and Kopold, R. and Becker, W. and Kleber, M. and Schleich, W. P.}, title = {The Wigner function for tunneling in a uniform static electric field1Dedicated to Marlan O. Scully on the occasion of his 60th birthday.1}, abstract = {The Wigner function is used to study a simple model system for strong-field induced ionization: an electron tunneling out of a zero-range potential in the presence of a uniform static electric field. We derive an analytic expression for an approximate Wigner function describing a stationary situation where the part lost to ionization is continuously replenished. This approach is well justified by comparison with the true time dependent Wigner function obtained by numerically solving the one-dimensional problem. The three- and one-dimensional Wigner functions both suggest that the electron leaves the tunnel with a non-zero velocity.}, year = {2000}, issn = {0030-4018}, DOI = {https://doi.org/10.1016/S0030-4018(99)00591-X}, journal = {Optics Communications}, volume = {179}, pages = {29 - 38}, number = {1}, file_url = {http://www.sciencedirect.com/science/article/pii/S003040189900591X} } @Article { doi:10.1063/1.481060, author = {Warmuth, Ch. and Tortschanoff, A. and Milota, F. and Shapiro, M. and Prior, Y. and Averbukh, I. Sh. and Schleich, W. and Jakubetz, W. and Kauffmann, H. F.}, title = {Studying vibrational wavepacket dynamics by measuring fluorescence interference fluctuations}, year = {2000}, DOI = {10.1063/1.481060}, journal = {The Journal of Chemical Physics}, volume = {112}, pages = {5060-5069}, number = {11} } @Inbook { 145052985176_2000, author = {Freyberger, M. and Kienle, S. H. and Schleich, W. P.}, title = {Storage and Read-Out of Quantum-State Information Via Interference}, year = {2000}, booktitle = {Trends in Quantum Mechanics}, publisher = {World Scientific}, address = {Singapur}, editor = {H.-D. Doebner, S.T. Ali, M. Keyl and R.F. Werner} } @Article { Saif_2000, author = {Saif, F. and Alber, G. and Savichev, V. and Schleich, W. P.}, title = {Quantum revivals in a periodically driven gravitational cavity}, abstract = {Quantum revivals are investigated for the dynamics of an atom in a driven gravitational cavity. It is demonstrated that the external driving field influences the revival time significantly. Analytical expressions are presented which are based on second-order perturbation theory and semiclassical secular theory. These analytical results explain the dependence of the revival time on the characteristic parameters of the problem quantitatively in a simple way. They are in excellent agreement with numerical results.}, year = {2000}, month = {oct}, DOI = {10.1088/1464-4266/2/5/315}, journal = {Journal of Optics B: Quantum and Semiclassical Optics}, volume = {2}, publisher = {\{IOP\} Publishing}, pages = {668--671}, number = {5}, file_url = {https://doi.org/10.1088{\%}2F1464-4266{\%}2F2{\%}2F5{\%}2F315} } @Inproceedings { 112840840922_2000, author = {van Leeuwen, K. A. H. and Koolen, A. E. A. and de Koning, M. J. and Beijerinck, H. C. W. and Schleich, W. P.}, title = {Quantum Optics with Metastable Helium Atoms}, year = {2000}, booktitle = {Quantum Optics of Small Structures}, publisher = {Verh. Nat. Kon. Ned. Akad. van Wetensch.}, editor = {D. Lenstra, T.D. Visser and K.A.H. van Leeuwen}, pages = {195-206} } @Article { Friesch_2000, author = {Friesch, O. M. and Marzoli, I. and Schleich, W. P.}, title = {Quantum carpets woven by Wigner functions}, abstract = {The dynamics of many different quantum systems is characterized by a regular net of minima and maxima of probability stretching out in a spacetime representation. We offer an explanation to this phenomenon in terms of the Wigner function. This approach illustrates very clearly the crucial role played by interference.}, year = {2000}, month = {mar}, DOI = {10.1088/1367-2630/2/1/004}, journal = {New Journal of Physics}, volume = {2}, publisher = {\{IOP\} Publishing}, pages = {4--4}, file_url = {https://doi.org/10.1088{\%}2F1367-2630{\%}2F2{\%}2F1{\%}2F004} } @Article { PhysRevA.61.032101, author = {Kaplan, A. E. and Marzoli, I. and Lamb, W. E. and Schleich, W. P.}, title = {Multimode interference: Highly regular pattern formation in quantum wave-packet evolution}, year = {2000}, month = {Feb}, DOI = {10.1103/PhysRevA.61.032101}, journal = {Phys. Rev. A}, volume = {61}, publisher = {American Physical Society}, pages = {032101}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.61.032101} } @Article { 361104765226_2000, author = {Banaszek, K. and W\{\'\{o\}\}dkiewicz, K. and Schleich, W.}, title = {Fractional Dynamics in Phase Space}, year = {2000}, journal = {Laser Physics}, volume = {10}, pages = {123-126} } @Article { Schleich2000, author = {Schleich, W. P.}, title = {Engineering decoherence}, abstract = {The quantum world will always tend towards the classical world through a process known as decoherence. This is a major barrier to the success of quantum computers and quantum communication. New experiments that engineer decoherence in the laboratory throw light on what happens when a quantum system evolves into a classical system.}, year = {2000}, issn = {1476-4687}, DOI = {10.1038/35002223}, journal = {Nature}, volume = {403}, pages = {256-257}, number = {6767}, file_url = {https://doi.org/10.1038/35002223} } @Inbook { 227121018856_2000, author = {Saif, F. and Riedel, K. and Schleich, W. P. and Mirbach, B.}, title = {Dynamical Localization and Decoherence}, year = {2000}, booktitle = {Decoherence: Theoretical, Experimental and Conceptual Problems}, publisher = {Springer}, address = {Heidelberg}, editor = {Ph. Blanchard, D. Giulini E. Joos C. Kiefer and I.-O. Stamatescu}, pages = {179-189} } @Article { 455660179409_2000, author = {Meneghini, S. and Jex, I. and van Leeuwen, K. A. H. and Kasimov, M. R. and Schleich, W. P. and Yakovlev, V. P.}, title = {Atomic Motion in Longitudinally Modulated Light Crystals}, year = {2000}, journal = {Laser Physics}, volume = {10}, pages = {116-122} } @Article { Meneghini2000, author = {Meneghini, S. and Savichev, V. I. and van Leeuwen, K. A. H. and Schleich, W. P.}, title = {Atomic focusing and near field imaging: A combination for producing small-period nanostructures}, abstract = {We present a scheme which combines focusing of atomic de Broglie waves by standing light waves and fractional Talbot imaging to produce nanostructures. Masking of the incoming atomic wave by an absorptive grating is used to eliminate atom-optical aberrations that would otherwise wash out the fractional Talbot images. The scheme allows the creation of structures of very small feature size as well as small period.}, year = {2000}, month = {May}, day = {01}, issn = {1432-0649}, DOI = {10.1007/s003400050880}, journal = {Applied Physics B}, volume = {70}, pages = {675--682}, number = {5}, file_url = {https://doi.org/10.1007/s003400050880} } @Inproceedings { 415112346257_2000, author = {Mack, H. and Meneghini, S. and Schleich, W. P.}, title = {Atom Optics and the Discreteness of Photons}, year = {2000}, booktitle = {Quantum Optics of Small Structures}, publisher = {Verh. Nat. Kon. Ned. Akad. van Wetensch}, editor = {D. Lenstra, T.D. Visser and K.A.H. van Leeuwen}, pages = {169-183} } @Article { Hall_1999, author = {Hall, M. J. W. and Reineker, M. S. and Schleich, W. P.}, title = {Unravelling quantum carpets: a travelling-wave approach}, abstract = {Generic channel and ridge structures are known to appear in the time-dependent position probability distribution of a one-dimensional quantum particle confined to a box. These structures are shown to have a detailed quantitative explanation in terms of a travelling-wave decomposition of the probability density, wherein each contributing term corresponds simultaneously to (i) a real wave propagating at a quantized velocity and (ii) to the time-averaged structure of the position distribution along a quantized direction in spacetime. The approach leads to new predictions of channel locations, widths and depths, and is able to provide more structural details than earlier approaches based on partial interference and Wigner functions. Results are also applicable to light diffracted by a periodic grating, and to the quantum rigid rotator.}, year = {1999}, month = {nov}, DOI = {10.1088/0305-4470/32/47/307}, journal = {Journal of Physics A: Mathematical and General}, volume = {32}, publisher = {\{IOP\} Publishing}, pages = {8275--8291}, number = {47}, file_url = {https://doi.org/10.1088{\%}2F0305-4470{\%}2F32{\%}2F47{\%}2F307} } @Article { PhysRevA.59.714, author = {Fortunato, M. and Kurizki, G. and Schleich, W. P.}, title = {Trapping-state restoration in the randomly driven Jaynes-Cummings model by conditional measurements}, year = {1999}, month = {Jan}, DOI = {10.1103/PhysRevA.59.714}, journal = {Phys. Rev. A}, volume = {59}, publisher = {American Physical Society}, pages = {714--717}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.59.714} } @Inbook { 555004476912_1999, author = {Marzoli, I. and Bia\{\l\}ynicki-Birula, I. and Friesch, O. M. and Kaplan, A. E. and Schleich, W. P.}, title = {The Particle in the Box: Intermode Traces in the Propagator}, year = {1999}, booktitle = {Nonlinear Dynamics and Computational Physics}, publisher = {Narosa Publishing House}, address = {New Delhi}, editor = {V. B. Sheorey}, pages = {135-146} } @Article { 155109688944_1999, author = {Schaufler, S. and Schleich, W. P. and Yakovlev, V. P.}, title = {Subrecoil Laser Cooling with Velocity Filtering: Measurement of the Waiting-Time Distribution}, year = {1999}, journal = {Laser Physics}, volume = {9}, pages = {277-280} } @Article { Schleich1999, author = {Schleich, W. P.}, title = {Sculpting a wavepacket}, abstract = {Physicists have actively manipulated the shape of a quantum wavefunction, demonstrating an unprecedented amount of control over the quantum state. In an experiment last year, researchers used a variant of quantum holography to measure the wavefunction of an atomic electron. Now they have applied this technique to produce any desired wavefunction of the atomic electron via a feedback loop.}, year = {1999}, issn = {1476-4687}, DOI = {10.1038/16583}, journal = {Nature}, volume = {397}, pages = {207-208}, number = {6716}, file_url = {https://doi.org/10.1038/16583} } @Article { 231107523965_1999, author = {Fortunato, M. and Tombesi, P. and Schleich, W. P.}, title = {Quantum-nondestructive endoscopic tomography}, year = {1999}, journal = {Optics and Spectroscopy}, volume = {87}, pages = {567-571} } @Article { PhysRevA.59.2163, author = {Averbukh, I. Sh. and Shapiro, M. and Leichtle, C. and Schleich, W. P.}, title = {Reconstructing wave packets by quantum-state holography}, year = {1999}, month = {Mar}, DOI = {10.1103/PhysRevA.59.2163}, journal = {Phys. Rev. A}, volume = {59}, publisher = {American Physical Society}, pages = {2163--2173}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.59.2163} } @Article { RevModPhys.71.S263, author = {Lamb, W. E. and Schleich, W. P. and Scully, M. O. and Townes, C. H.}, title = {Laser physics: Quantum controversy in action}, year = {1999}, month = {Mar}, DOI = {10.1103/RevModPhys.71.S263}, journal = {Rev. Mod. Phys.}, volume = {71}, publisher = {American Physical Society}, pages = {S263--S273}, file_url = {https://link.aps.org/doi/10.1103/RevModPhys.71.S263} } @Article { article, author = {Fischer, D. G. and Kienle, S. H. and Schleich, W. P. and Yakovlev, V. P. and Freyberger, M.}, title = {Quantum state reconstruction of an atomic matter wave}, year = {1999}, journal = {Laser Physics}, volume = {9}, pages = {270-276} } @Article { PhysRevA.59.797, author = {Riedel, K. and T\{\"\{o\}\}rm\{\"\{a\}, P. and Savichev, V. and Schleich, W. P.}, title = {Control of dynamical localization by an additional quantum degree of freedom}, year = {1999}, month = {Jan}, DOI = {10.1103/PhysRevA.59.797}, journal = {Phys. Rev. A}, volume = {59}, publisher = {American Physical Society}, pages = {797--802}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.59.797} } @Article { PhysRevA.61.013410, author = {Bouwmeester, D. and Marzoli, I. and Karman, G. P. and Schleich, W. and Woerdman, J. P.}, title = {Optical Galton board}, year = {1999}, month = {Dec}, DOI = {10.1103/PhysRevA.61.013410}, journal = {Phys. Rev. A}, volume = {61}, publisher = {American Physical Society}, pages = {013410}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.61.013410} } @Incollection { FREYBERGER1999143, author = {Freyberger, M. and Herkommer, A. M. and Kr\{\"\{a\}hmer, D. S. and Mayr, E. and Schleich, W. P.}, title = {Atom Optics in Quantized Light Fields}, year = {1999}, issn = {1049-250X}, DOI = {10.1016/S1049-250X(08)60220-7}, volume = {41}, publisher = {Academic Press}, series = {Advances In Atomic, Molecular, and Optical Physics}, editor = {B. Bederson and H. Walther}, pages = {143 - 180} } @Article { PhysRevLett.83.3162, author = {Schaufler, S. and Schleich, W. P. and Yakovlev, V. P.}, title = {Keyhole Look at L\{\'\{e\}\}vy Flights in Subrecoil Laser Cooling}, year = {1999}, month = {Oct}, DOI = {10.1103/PhysRevLett.83.3162}, journal = {Phys. Rev. Lett.}, volume = {83}, publisher = {American Physical Society}, pages = {3162--3165}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.83.3162} } @Inproceedings { 10.1007/978-3-642-58600-2_5, author = {Riedel, K. and T\{\"\{o\}\}rm\{\"\{a\}, P. and Savichev, V. and Schleich, W. P.}, title = {Dynamical localization in the Paul trap --- the influence of the internal structure of the atom}, abstract = {We show that quantum localization occurs in the center-of-mass motion of a two-level ion stored in a Paul trap and interacting with a standing laser field. The variable showing localization is identified to be the vibrational quantum number of a reference Floquet oscillator. The quantum localization length is shown to oscillate as a function of the atom-field detuning with a period given by the secular frequency of the trap. Furthermore, we simulate the effect of spontaneous emission on the system and show that in the limit of far detuning the phenomenon of dynamical localization is not destroyed by decoherence.}, year = {1999}, isbn = {978-3-642-58600-2}, DOI = {10.1007/978-3-642-58600-2\_5}, booktitle = {High Performance Computing in Science and Engineering '98}, publisher = {Springer}, address = {Berlin, Heidelberg}, editor = {E. Krause and W. J\{\"\{a\}ger}, pages = {35--53} } @Article { PhysRevA.59.718, author = {Fortunato, M. and Tombesi, P. and Schleich, W. P.}, title = {Endoscopic tomography and quantum nondemolition}, year = {1999}, month = {Jan}, DOI = {10.1103/PhysRevA.59.718}, journal = {Phys. Rev. A}, volume = {59}, publisher = {American Physical Society}, pages = {718--727}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.59.718} } @Article { PhysRevA.57.3206, author = {Hug, M. and Menke, C. and Schleich, W. P.}, title = {Modified spectral method in phase space: Calculation of the Wigner function. II. Generalizations}, year = {1998}, month = {May}, DOI = {10.1103/PhysRevA.57.3206}, journal = {Phys. Rev. A}, volume = {57}, publisher = {American Physical Society}, pages = {3206--3224}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.57.3206} } @Article { doi:10.1063/1.476501, author = {Leichtle, C. and Schleich, W. P. and Averbukh, I. Sh. and Shapiro, M.}, title = {Wave packet interferometry without phase-locking}, year = {1998}, DOI = {10.1063/1.476501}, journal = {The Journal of Chemical Physics}, volume = {108}, pages = {6057-6067}, number = {15} } @Article { PhysRevLett.80.5730, author = {Fortunato, M. and Kurizki, G. and Schleich, W. P.}, title = {Stabilization of Deterministically Chaotic Systems by Interference and Quantum Measurements: The Ikeda Map Case}, year = {1998}, month = {Jun}, DOI = {10.1103/PhysRevLett.80.5730}, journal = {Phys. Rev. Lett.}, volume = {80}, publisher = {American Physical Society}, pages = {5730--5733}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.80.5730} } @Article { BUZEK19981, author = {Bu\{\v\{z\}\}ek, V. and Kr\{\"\{a\}hmer, D. S. and Fontenelle, M. T. and Schleich, W. P.}, title = {Quantum statistics of grey-body radiation}, abstract = {We present a microscopic model for a grey body which consists of a blackbody at the temperature Tb surrounded by a semitransparent mirror. We derive the density operator of the grey-body radiation in the photon number or Wigner representation. These relations involve the density matrix or the Wigner function of the incident radiation and kernels which contain information about the blackbody temperature and the mirror.}, year = {1998}, issn = {0375-9601}, DOI = {https://doi.org/10.1016/S0375-9601(98)00074-7}, journal = {Physics Letters A}, volume = {239}, pages = {1 - 5}, number = {1}, file_url = {http://www.sciencedirect.com/science/article/pii/S0375960198000747} } @Article { 891565323849_1998, author = {Marzoli, I. and Saif, F. and Bia\{\l\}ynicki-Birula, I. and Friesch, O. M. and Kaplan, A. E. and Schleich, W. P.}, title = {Quantum Carpets Made Simple}, year = {1998}, issn = {0323-0465}, journal = {Acta Phys. Slovaca}, volume = {48}, pages = {323-333}, number = {3} } @Inproceedings { 698153594082_1998, author = {Marzoli, I. and Friesch, O. M. and Schleich, W. P.}, title = {Quantum Carpets and Wigner Functions}, year = {1998}, journal = {Proceedings of the 5th Wigner Symposium}, publisher = {World Scientific}, address = {Singapore}, editor = {P. Kasperkovitz and D. Grau}, pages = {323-329} } @Article { PhysRevLett.80.1418, author = {Leichtle, C. and Schleich, W. P. and Averbukh, I. Sh. and Shapiro, M.}, title = {Quantum State Holography}, year = {1998}, month = {Feb}, DOI = {10.1103/PhysRevLett.80.1418}, journal = {Phys. Rev. Lett.}, volume = {80}, publisher = {American Physical Society}, pages = {1418--1421}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.80.1418} } @Article { PhysRevA.57.3188, author = {Hug, M. and Menke, C. and Schleich, W. P.}, title = {Modified spectral method in phase space: Calculation of the Wigner function. I. Fundamentals}, year = {1998}, month = {May}, DOI = {10.1103/PhysRevA.57.3188}, journal = {Phys. Rev. A}, volume = {57}, publisher = {American Physical Society}, pages = {3188--3205}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.57.3188} } @Article { Hug_1998, author = {Hug, M. and Menke, C. and Schleich, W. P.}, title = {How to calculate the Wigner function from phase space}, abstract = {We present a method for the direct computation of the Wigner function by solving a coupled system of linear partial differential equations in phase space. Our modified spectral method relies on Chebyshev polynomials. Since this approach allows us to include arbitrary high orders of partial derivatives, our procedure is applicable to arbitrary binding potentials. We apply our scheme to Wigner functions of the harmonic oscillator, the Morse oscillator, and an asymmetric double-well potential.}, year = {1998}, month = {mar}, DOI = {10.1088/0305-4470/31/11/002}, journal = {Journal of Physics A: Mathematical and General}, volume = {31}, publisher = {\{IOP\} Publishing}, pages = {L217--L224}, number = {11}, file_url = {https://doi.org/10.1088{\%}2F0305-4470{\%}2F31{\%}2F11{\%}2F002} } @Article { PhysRevA.58.4841, author = {Kneer, B. and Wong, T. and Vogel, K. and Schleich, W. P. and Walls, D. F.}, title = {Generic model of an atom laser}, year = {1998}, month = {Dec}, DOI = {10.1103/PhysRevA.58.4841}, journal = {Phys. Rev. A}, volume = {58}, publisher = {American Physical Society}, pages = {4841--4853}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.58.4841} } @Article { Banaszek:98, author = {Konrad, B. and Krzysztof, W. and Schleich, W. P.}, title = {Fractional Talbot effect in phase space: A compact summation formula}, abstract = {A phase space description of the fractional Talbot effect, occurring in a one--dimensional Fresnel diffraction from a periodic grating, is presented. Using the phase space formalism a compact summation formula for the Wigner function at rational multiples of the Talbot distance is derived. The summation formula shows that the fractional Talbot image in the phase space is generated by a finite sum of spatially displaced Wigner functions of the source field.}, year = {1998}, month = {Mar}, DOI = {10.1364/OE.2.000169}, journal = {Opt. Express}, volume = {2}, publisher = {OSA}, pages = {169--172}, number = {5}, keywords = {Talbot and self-imaging effects; Coherent optical effects; Fresnel diffraction; Interference; Kerr media; Phase space analysis methods; Spatial frequency; Talbot effect}, file_url = {http://www.opticsexpress.org/abstract.cfm?URI=oe-2-5-169} } @Article { PhysRevA.58.4779, author = {Saif, F. and Bia\{\l\}ynicki-Birula, I. and Fortunato, M. and Schleich, W. P.}, title = {Fermi accelerator in atom optics}, year = {1998}, month = {Dec}, DOI = {10.1103/PhysRevA.58.4779}, journal = {Phys. Rev. A}, volume = {58}, publisher = {American Physical Society}, pages = {4779--4783}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.58.4779} } @Article { Kr_hmer_1998, author = {Kr\{\"\{a\}hmer, D. S. and Schleich, W. P. and Yakovlev, V. P.}, title = {Confined quantum systems: The parabolically confined hydrogen atom}, abstract = {We investigate a hydrogen-like atom (or any other system with a Coulomb potential) confined to a space which is bounded by a paraboloid. The nucleus of the atom resides at the focus of the paraboloid and we require the electronic wavefunction to vanish on the paraboloid. We derive an exact implicit analytic solution to the problem and also explicit analytic expressions for the wavefunctions and eigenenergies in the so-called strong-shift regime. We also discuss the influence of the boundary on the permanent dipole moments of the eigenstates. Finally, we investigate this system in WKB-approximation and give the Bohr-Sommerfeld quantization rule which is different from the usual rule due to the new boundary condition.}, year = {1998}, month = {may}, DOI = {10.1088/0305-4470/31/19/014}, journal = {Journal of Physics A: Mathematical and General}, volume = {31}, publisher = {\{IOP\} Publishing}, pages = {4493--4520}, number = {19}, file_url = {https://doi.org/10.1088{\%}2F0305-4470{\%}2F31{\%}2F19{\%}2F014} } @Article { Kaplan_1998, author = {Kaplan, A. E. and Stifter, P. and van Leeuwen, K. A. H. and Lamb, Jr., W. E. and Schleich, W. P.}, title = {Intermode Traces - Fundamental Interference Phenomenon in Quantum and Wave Physics}, abstract = {Highly regular spatio-temporal or multi-dimensional patterns in the quantum mechanical probability or classical field intensity distributions can appear due to pair interference between individual eigen-modes of the system forming the so called intermode traces. These patterns are strongly pronounced if the intermode traces are multi-degenerate. This phenomenon occurs in many areas of wave physics.}, year = {1998}, DOI = {10.1238/Physica.Topical.076a00093}, journal = {Physica Scripta}, volume = {T76}, publisher = {\{IOP\} Publishing}, pages = {93}, number = {1}, file_url = {https://doi.org/10.1238{\%}2Fphysica.topical.076a00093} } @Article { BARDROFF1998121, author = {Bardroff, P. J. and Leonhardt, U. and Schleich, W. P.}, title = {Adaptive phase retrieval of nonlinear waves}, abstract = {We put forward an adaptive simulation method to infer the phases of nonlinear waves when the spatial amplitudes are measured over a sufficiently long time interval.}, year = {1998}, issn = {0030-4018}, DOI = {https://doi.org/10.1016/S0030-4018(97)00655-X}, journal = {Optics Communications}, volume = {147}, pages = {121 - 125}, number = {1}, file_url = {http://www.sciencedirect.com/science/article/pii/S003040189700655X} } @Article { Schaufler_1997, author = {Schaufler, S. and Schleich, W. P. and Yakovlev, V. P.}, title = {Scaling and asymptotic laws in subrecoil laser cooling}, abstract = {We derive and analyze scaling properties of the kinetic equation for subrecoil laser cooling. These scaling laws determine the universal asymptotic time behaviour in complete agreement with the results of the statistical analysis in terms of L\{\'\{e\}\}vy flights.}, year = {1997}, month = {aug}, DOI = {10.1209/epl/i1997-00366-3}, journal = {Europhysics Letters (EPL)}, volume = {39}, publisher = {\{IOP\} Publishing}, pages = {383--388}, number = {4}, file_url = {https://doi.org/10.1209{\%}2Fepl{\%}2Fi1997-00366-3} } @Article { Kienle1997, author = {Kienle, S. H. and Fischer, D. and Schleich, W. P. and Yakovlev, V. P. and Freyberger, M.}, title = {Reconstructing quantum states via quantum tomography and atom interferometry}, year = {1997}, month = {Dec}, day = {01}, issn = {1432-0649}, DOI = {10.1007/s003400050340}, journal = {Applied Physics B}, volume = {65}, pages = {735--743}, number = {6}, file_url = {https://doi.org/10.1007/s003400050340} } @Article { 867143159417_1997, author = {Herkommer, A. M. and Schleich, W. P.}, title = {Review of Atom Optics in Quantized Light Fields}, year = {1997}, journal = {Comments in Atomic and Molecular Physics}, volume = {33}, pages = {145-157}, number = {3} } @Article { Freyberger1997, author = {Freyberger, M. and Schleich, W. P.}, title = {True vision of a quantum state}, abstract = {Information about a quantum system is encoded in its quantum state, a quantity whose meaning is vigorously debated. But direct insight should be gained into quantum states now that they can be mapped out.}, year = {1997}, issn = {1476-4687}, DOI = {10.1038/386121a0}, journal = {Nature}, volume = {386}, pages = {121-122}, number = {6621}, file_url = {https://doi.org/10.1038/386121a0} } @Article { Gro_mann_1997, author = {Gro\{\"\{s\}\}mann, F. and Rost, J.-M. and Schleich, W. P.}, title = {Spacetime structures in simple quantum systems}, abstract = {Recently W Kinzel [1995 Phys. Bl. 51 1190] has argued that even simple quantum systems can exhibit surprising phenomena. As an example he presented the formation of canals and ridges in the time-dependent probability density of a particle caught in a square well with infinitely high walls. We show how these structures emerge from the wavefunction and present a simple derivation of their location in the spacetime continuum.}, year = {1997}, month = {may}, DOI = {10.1088/0305-4470/30/9/004}, journal = {Journal of Physics A: Mathematical and General}, volume = {30}, publisher = {\{IOP\} Publishing}, pages = {L277--L283}, number = {9}, file_url = {https://doi.org/10.1088{\%}2F0305-4470{\%}2F30{\%}2F9{\%}2F004} } @Article { Freyberger_1997, author = {Freyberger, M. and Bardroff, P. J. and Leichtle, C. and Schrade, G. and Schleich, W. P.}, title = {The art of measuring quantum states}, abstract = {Quantum theory is undeniably one of the most powerful and successful theories in physics. For most of this century physicists have been using quantum theory to predict and explain the behaviour of light and matter in an amazing range of experiments and applications. From high-energy collisions and neutron stars to semiconductors and lasers, the theory has proven itself time and time again.}, year = {1997}, month = {nov}, DOI = {10.1088/2058-7058/10/11/31}, journal = {Physics World}, volume = {10}, publisher = {\{IOP\} Publishing}, pages = {41--46}, number = {11}, file_url = {https://doi.org/10.1088{\%}2F2058-7058{\%}2F10{\%}2F11{\%}2F31} } @Inbook { 808875776024_1997, author = {Stifter, P. and Lamb, Jr., W. E. and Schleich, W. P.}, title = {The Particle in the Box Revisited}, year = {1997}, booktitle = {Frontiers of Quantum Optics and Laser Physics}, publisher = {World Scientific}, address = {Singapore}, editor = {Y. S. Zhu, M. S. Zubairy and M. O. Scully}, pages = {236-246} } @Article { PhysRevA.56.4164, author = {Schr\{\"\{o\}\}der, M. and Vogel, K. and Schleich, W. P. and Scully, M. O. and Walther, H.}, title = {Quantum theory of the mazer. III. Spectrum}, year = {1997}, month = {Nov}, DOI = {10.1103/PhysRevA.56.4164}, journal = {Phys. Rev. A}, volume = {56}, publisher = {American Physical Society}, pages = {4164--4174}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.56.4164} } @Article { doi:10.1080/09500349708231860, author = {Ghafar, M. El and Mayr, E. and Savichev, V. and T\{\"\{o\}\}rm\{\"\{a\}, P. and Zeiler, A. and Schleich, W. P.}, title = {Quantum-mechanical localization of an ion in a Paul trap}, year = {1997}, DOI = {10.1080/09500349708231860}, journal = {Journal of Modern Optics}, volume = {44}, publisher = {Taylor \{\\&\} Francis}, pages = {1985-1998}, number = {10} } @Article { 789091454123_1997, author = {Stifter, P. and Leichtle, C. and Schleich, W. P. and Marklof, J.}, title = {Das Teilchen im Kasten: Strukturen in der Wahrscheinlichkeitsdichte}, year = {1997}, issn = {1865-7109}, DOI = {10.1515/zna-1997-0501}, journal = {Zeitschrift f\{\"\{u\}\}r Naturforschung A}, volume = {52}, pages = {377-385}, number = {5} } @Inbook { 804737737024_1997, author = {Kienle, S. H. and Freyberger, M. and Schleich, W. P. and Raymer, M. G.}, title = {Quantum Beam Tomography}, year = {1997}, booktitle = {Experimental Metaphysics}, publisher = {Kluwer}, address = {Dordrecht}, editor = {R.S. Cohen, M. Horne and J. Stachel}, pages = {121-133} } @Article { doi:10.1080/09500349708231897, author = {Herkommer, A. M. and Schleich, W. P. and Zubairy, M. S.}, title = {Autler-Townes microscopy on a single atom}, year = {1997}, DOI = {10.1080/09500349708231897}, journal = {Journal of Modern Optics}, volume = {44}, publisher = {Taylor \{\\&\} Francis}, pages = {2507-2513}, number = {11-12} } @Article { Schrade1997, author = {Schrade, G. and Bardroff, P. J. and Glauber, R. J. and Leichtle, C. and Yakovlev, V. and Schleich, W. P.}, title = {Endoscopy in the Paul trap: The influence of the micromotion}, abstract = {We show that three real-valued parameters govern the quantum motion of an ion stored in the Paul trap. These parameters are two angles of rotation in phase space and a squeezing parameter. The time dependence of these parameters simplifies considerably using Floquet solutions. This allows us to use the method of quantum state endoscopy to measure a pure state of the vibratory motion of an ion taking into account the full time dependence of the trapping potential.}, year = {1997}, month = {Jan}, day = {01}, issn = {1432-0649}, DOI = {10.1007/s003400050163}, journal = {Applied Physics B}, volume = {64}, pages = {181--191}, number = {2}, file_url = {https://doi.org/10.1007/s003400050163} } @Article { Kien_1997, author = {Kien, Fam Le and Vogel, K. and Schleich, W. P.}, title = {Arc field states, photon statistics probes and quantum lenses: field evolution and atomic motion in a dispersive interaction model}, abstract = {We study the interaction of a quantized single-mode standing-wave cavity field with a two-level atom de Broglie wave. For the sake of simplicity we consider the field to be far detuned and the atom to be moving in the Raman - Nath regime. We show that the Wigner function of the field is a superposition of the Wigner functions for the coherent states aligned on an arc in phase space. The back action of the measurement of the atomic internal state leads to the modification of the diagonal as well as of the off-diagonal elements of the field density matrix. We investigate the formation of nonclassical field states via atomic deflection and internal-state measurement and show that the coherence of the field and the interference between the constituent coherent states disappear in the limit of large interaction times. The width of the atomic momentum distribution allows us to determine the mean photon number and the width of the photon distribution. We find that, for an appropriate choice of the initial state of the atomic centre-of-mass motion, the form of the atomic momentum distribution is identical to that of the photon distribution. The field near a node or an antinode acts as a focusing or defocusing lens for atoms, depending on the detuning and on the initial internal state of the atom.}, year = {1997}, month = {feb}, DOI = {10.1088/1355-5111/9/1/006}, journal = {Quantum and Semiclassical Optics: Journal of the European Optical Society Part B}, volume = {9}, publisher = {\{IOP\} Publishing}, pages = {69--101}, number = {1}, file_url = {https://doi.org/10.1088{\%}2F1355-5111{\%}2F9{\%}2F1{\%}2F006} } @Article { PhysRevA.56.2972, author = {Le Kien, Fam and Rempe, G. and Schleich, W. P. and Zubairy, M. S.}, title = {Atom localization via Ramsey interferometry: A coherent cavity field provides a better resolution}, year = {1997}, month = {Oct}, DOI = {10.1103/PhysRevA.56.2972}, journal = {Phys. Rev. A}, volume = {56}, publisher = {American Physical Society}, pages = {2972--2977}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.56.2972} } @Article { doi:10.1080/09500349708231886, author = {Schneider, S. and Herkommer, A. M. and Leonhardt, U. and Schleich, W. P.}, title = {Cavity field tomography via atomic beam deflection}, year = {1997}, DOI = {10.1080/09500349708231886}, journal = {Journal of Modern Optics}, volume = {44}, publisher = {Taylor \{\\&\} Francis}, pages = {2333-2342}, number = {11-12} } @Article { PhysRevLett.78.1195, author = {Meneghini, S. and Bardroff, P. J. and Mayr, E. and Schleich, W. P.}, title = {Comment on \dqNature of Quantum Localization in Atomic Momentum Transfer Experiments''}, year = {1997}, month = {Feb}, DOI = {10.1103/PhysRevLett.78.1195}, journal = {Phys. Rev. Lett.}, volume = {78}, publisher = {American Physical Society}, pages = {1195--1195}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.78.1195} } @Article { PhysRevLett.78.4181, author = {El Ghafar, M. and T\{\"\{o\}\}rm\{\"\{a\}, P. and Savichev, V. and Mayr, E. and Zeiler, A. and Schleich, W. P.}, title = {Dynamical Localization in the Paul Trap}, year = {1997}, month = {Jun}, DOI = {10.1103/PhysRevLett.78.4181}, journal = {Phys. Rev. Lett.}, volume = {78}, publisher = {American Physical Society}, pages = {4181--4184}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.78.4181} } @Article { GhafarApr1997, author = {Ghafar, M. El and Riedel, K. and T\{\"\{o\}\}rm\{\"\{a\}, P. and Savichev, V. and Mayr, E. and Zeiler, A. and Schleich, W. P.}, title = {Dynamical localization of the vibrational quantum number in a Paul Trap}, abstract = {We have shown that dynamical localization happens in the quantum motion of an ion in a Paul trap interacting with a standing wave laser field The variable which shows dynamical localization is the vibrational quantum number of a reference oscillator, which leads to localization in both momentum and position Here we discuss shortly the effect of decoherence (authors)}, year = {1997}, issn = {0323-0465}, volume = {47}, address = {Slovakia}, pages = {291-294}, number = {3/4}, file_url = {http://inis.iaea.org/search/search.aspx?orig\_q=RN:29064045} } @Article { PhysRevA.54.5299, author = {Leichtle, C. and Averbukh, I. Sh. and Schleich, W. P.}, title = {Multilevel quantum beats: An analytical approach}, year = {1996}, month = {Dec}, DOI = {10.1103/PhysRevA.54.5299}, journal = {Phys. Rev. A}, volume = {54}, publisher = {American Physical Society}, pages = {5299--5312}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.54.5299} } @Article { PhysRevA.53.2736, author = {Bardroff, P. J. and Mayr, E. and Schleich, W. P. and Domokos, P. and Brune, M. and Raimond, J. M. and Haroche, S.}, title = {Simulation of quantum-state endoscopy}, year = {1996}, month = {Apr}, DOI = {10.1103/PhysRevA.53.2736}, journal = {Phys. Rev. A}, volume = {53}, publisher = {American Physical Society}, pages = {2736--2741}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.53.2736} } @Inproceedings { 10.1007/978-1-4757-9742-8_220, author = {Bardroff, P. J. and Mayr, E. and Schleich, W. P. and Domokos, P. and Brune, M. and Raimond, J. M. and Haroche, S.}, title = {Simulation of Quantum State Endoscopy}, abstract = {In a recent paper1 we have proposed the method of quantum state endoscopy to measure the complete quantum state of a single mode of the electromagnetic field. In the present article we perform numerical simulations of an experimental realization based on realistic parameters2 to demonstrate the experimental feasibility.}, year = {1996}, isbn = {978-1-4757-9742-8}, DOI = {10.1007/978-1-4757-9742-8\_220}, booktitle = {Coherence and Quantum Optics VII}, publisher = {Springer US}, address = {Boston, MA}, editor = {J. H. Eberly, L. Mandel and E. Wolf}, pages = {699--700} } @Inproceedings { ISI:A1996BG84V00008, author = {Fontenelle, M. T. and Freyberger, M. and Heni, M. and Schleich, W. P. and Zubairy, M. S.}, title = {Quantum phase, photon counting and EPR variables}, year = {1996}, isbn = {0-7503-0394-8}, issn = {0309-8710}, organization = {Israel Physical Society}, booktitle = {Dilemma of Einstein, Podolsky and Rosen - 60 Years Later}, volume = {12}, series = {Annals of the Israel Physical Society}, editor = {A. Mann and M. Revzen}, pages = {73-82}, note = {International Symposium on the Dilemma of Einstein, Podolsky and Rosen, in Honour of Nathan Rosen, HAIFA, ISRAEL, MAR, 1995} } @Inproceedings { 10.1007/978-1-4757-9742-8_29, author = {Heni, M. and Freyberger, M. and Schleich, W. P.}, title = {Quantum Phase}, abstract = {In June 1960 the first in this series of most successful Rochester conferences on Coherence and Quantum Optics took place. At this meeting devoted to Coherence Properties of Electromagnetic Radiation Joe Weber presented a paper1 with the title ``Phase as a Dynamical Variable''. It is remarkable that 35 years later this question it is still such a hot topic that it is the subject of various invited and contributed papers2,3 at the seventh conference of this series. Indeed over the last years the question of a proper quantum mechanical description of phase has attracted a lot of attention. This is on one hand due to the experimental progress in creating non classical states of light which display phase properties different from those of a coherent state, and on the other hand was triggered by the Pegg-Barnett proposal for a hermitian phase operator. Moreover the recent operational approach by Noh, Foug\{\`e\}res, and Mandel (NFM) opened a new era in this long standing debate. There are many indications that phase will still be a major topic at the next meeting in the new millennium for which Emil Wolf had us sign up already.}, year = {1996}, isbn = {978-1-4757-9742-8}, DOI = {10.1007/978-1-4757-9742-8\_29}, booktitle = {Coherence and Quantum Optics VII}, publisher = {Springer US}, address = {Boston, MA}, editor = {Eberly, Joseph H. and Mandel, Leonard and Wolf, Emil}, pages = {239--249} } @Article { Schleich1897, author = {Schleich, W. P.}, title = {Quantum Optics: Optical Coherence and Quantum Optics.}, year = {1996}, issn = {0036-8075}, DOI = {10.1126/science.272.5270.1897-a}, journal = {Science}, volume = {272}, publisher = {American Association for the Advancement of Science}, pages = {1897--1898}, number = {5270} } @Article { 628814144424_1996, author = {Fortunato, M. and Schleich, W. P. and Kurizki, G.}, title = {Quantum Control of Chaos Inside a Cavity}, year = {1996}, journal = {Acta Phys. Slovaca}, volume = {46}, pages = {381-386} } @Article { 115466548193_1996, author = {Bardroff, P. J. and Leichtle, C. and Schrade, G. and Schleich, W. P.}, title = {Paul Trap Multi-Quantum Interactions}, year = {1996}, journal = {Acta Phys. Slovaca}, volume = {46}, pages = {231-240} } @Inbook { Scully1996, author = {Scully, M. O. and Schleich, W. P. and Walther, H.}, title = {The Correlated Spontaneous Emission Maser Gyroscope}, abstract = {We dedicate this paper to our hero Charles Townes in recognition of his pioneering work in maser and laser physics as one of the many spin-offs of his great inventions.}, year = {1996}, isbn = {978-1-4612-2378-8}, DOI = {10.1007/978-1-4612-2378-8\_54}, publisher = {Springer}, address = {New York, NY}, editor = {Chiao, Raymond Y.}, pages = {573--583}, file_url = {https://doi.org/10.1007/978-1-4612-2378-8\_54} } @Article { Herkommer_1996, author = {Herkommer, A. M. and Carmichael, H. J. and Schleich, W. P.}, title = {Localization of an atom by homodyne measurement}, abstract = {We study a continuous homodyne measurement of the field transmitted from an optical cavity. In particular, we investigate the back-action of this measurement onto an atom whose centre-of-mass motion is entangled with the cavity field. Using the method of quantum trajectories we calculate analytically and numerically the time evolution of the entangled quantum state, and demonstrate the localization of the atom relative to the nodes of the cavity field. We compare the quantum trajectory formalism of the continuous homodyne measurement to a projection onto quadrature eigenstates of the field and show that in the long-time limit both descriptions are identical.}, year = {1996}, month = {feb}, DOI = {10.1088/1355-5111/8/1/014}, journal = {Quantum and Semiclassical Optics: Journal of the European Optical Society Part B}, volume = {8}, publisher = {\{IOP\} Publishing}, pages = {189--203}, number = {1}, file_url = {https://doi.org/10.1088{\%}2F1355-5111{\%}2F8{\%}2F1{\%}2F014} } @Inproceedings { 10.1007/978-1-4757-9742-8_166, author = {Vogel, K. and Schleich, W. P. and Kurizki, G.}, title = {Manipulation of Cavity Field States with Multi-Level Atoms}, abstract = {Recently, we have proposed two schemes to manipulate a quantum state of a single-mode cavity field in a controlled way by sending two-level atoms through a cavity.1,2 In one of these schemes1 a desired cavity field state is build up step by step starting from the vacuum state. Two-level atoms are prepared in a coherent superposition of the lower state and the upper state. Then the atomic coherence is transfered to the cavity field. As a two-level atom can deposit at most one photon in the cavity, we need N atoms to prepare an arbitrary superposition of N + 1 Fock states. However, probabilities enter because all two-level atoms must be detected in the lower state after they have interacted with the cavity field. In this paper we show that the idea can be generalized to atoms with more than two levels. The main advantage of this generalization is that a single atom can transfer a larger amount of coherence to the cavity field.}, year = {1996}, isbn = {978-1-4757-9742-8}, DOI = {10.1007/978-1-4757-9742-8\_166}, booktitle = {Coherence and Quantum Optics VII}, publisher = {Springer US}, address = {Boston, MA}, editor = {J. H. Eberly, L. Mandel and E. Wolf}, pages = {589--590} } @Article { 320736584097_1996, author = {Fontenelle, M. T. and Braunstein, S. L. and Schleich, W. P.}, title = {Direct and Indirect Measures of Phase}, year = {1996}, issn = {0323-0465}, journal = {Acta Phys. Slovaca}, volume = {46}, pages = {373-379} } @Inbook { 271462109617_1996, author = {Schr\{\"\{o\}\}der, M. and Vogel, K. and Schleich, W. P. and De Martini, F.}, title = {A Simple Quantum Mechanical Model of the Adiabatic-Feedback Measurement Method}, year = {1996}, booktitle = {Quantum Interferometry II}, publisher = {VCH-Verlag}, address = {Weinheim}, editor = {F. De Martini, G. Denardo and Y. Shih}, pages = {451-459} } @Article { 153451648507_1996, author = {Schleich, W. P.}, title = {Atom-Field Interactions and Dressed Atoms}, year = {1996}, DOI = {10.1002/phbl.19960520736}, journal = {Phys. Bl.}, volume = {52}, pages = {736-737}, number = {7-8}, annotation = {Review of the book with the same title by G. Compagno, R. Passante, and F. Persico} } @Inbook { 890480669544_1996, author = {Mayr, E. and Yakovlev, V. P. and Schleich, W. P.}, title = {Diffraction of Atomic Waves at a Phase Modulated Standing Light Field}, year = {1996}, booktitle = {Quantum Interferometry II}, publisher = {VCH-Verlag}, address = {Weinheim}, editor = {F. De Martini, G. Denardo and Y. Shih}, pages = {413-427} } @Inproceedings { 10.1007/978-1-4757-9742-8_144, author = {Herkommer, A. M. and Carmichael, H. J. and Schleich, W. P.}, title = {Localization of Atoms by Homodyne Measurement}, abstract = {An atom passing through a standing electromagnetic wave inside an optical cavity couples via its dipole moment to the cavity field. The state of the combined system is an entangled state of atom and field; consequently, a measurement on one of the subsystems, on either the atom or the field, will provide information about the other. In particular, the position of the atom in the standing wave becomes strongly correlated with the phase of the field, since in the presence of the field the atom becomes polarized and thus changes the phase of the field through its refractive index; the magnitude of this phase change depends on the local light intensity and hence on the position of the atom. A measurement of the phase change due to the atom traversing the cavity can be made, for example, by balanced homodyne detection, and yields information about the position of the atom relative to the nodes and anti-nodes of the standing wave1,2. The information gain implies a localization of an initially extended atomic wave-packet. We have made a detailed investigation of this measurement-induced localization, where the influence of the measurement on the state of the system is described by the method of quantum trajectories3, which links measurement theory with quantum jump simulations. The quantum trajectory method allowed us to calculate the time evolution of the system wave function, conditioned on the measurement record made by the homodyne detector.}, year = {1996}, isbn = {978-1-4757-9742-8}, DOI = {10.1007/978-1-4757-9742-8\_144}, booktitle = {Coherence and Quantum Optics VII}, publisher = {Springer US}, address = {Boston, MA}, editor = {J. H. Eberly, L. Mandel and E. Wolf}, pages = {543--544} } @Inproceedings { 10.1007/978-1-4757-9742-8_146, author = {Mayr, E. and Bardroff, P. J. and Kr\{\"\{a\}hmer, D. S. and Stifter, P. and Bia\{\l\}ynicki-Birula, I. and Yakovlev, V. P. and Kurizki, G. and Schleich, W. P.}, title = {Dynamical Localization in Atom Optics}, abstract = {We investigate the classical and quantum dynamics of atoms moving in a phase-modulated standing light field.}, year = {1996}, isbn = {978-1-4757-9742-8}, DOI = {10.1007/978-1-4757-9742-8\_146}, booktitle = {Coherence and Quantum Optics VII}, publisher = {Springer US}, address = {Boston, MA}, editor = {J. H. Eberly, L. Mandel and E. Wolf}, pages = {547--548} } @Inproceedings { 10.1007/978-1-4757-9742-8_153, author = {Leichtle, C. and Schleich, W. P. and Averbukh, I. Sh.}, title = {Fractional Revivals}, abstract = {In a coherent superposition of many discrete quantum states, each contributing state evolves independently in time. Nevertheless, for short times, the dynamics of such a quantum system is almost periodic with a period T1 corresponding to the typical energy separation between neighboring eigenstates. However, for times larger than this characteristic time, this periodicity disappears and new features emerge1: At fractions of another characteristic time T2 the system is again periodic, however now, with a period which is a fraction of T1. In this note we present an analytical approach2 towards these so-called fractional revivals.}, year = {1996}, isbn = {978-1-4757-9742-8}, DOI = {10.1007/978-1-4757-9742-8\_153}, booktitle = {Coherence and Quantum Optics VII}, publisher = {Springer US}, address = {Boston, MA}, editor = {J. H. Eberly, L. Mandel and E. Wolf}, pages = {561--562} } @Article { PhysRevLett.77.3999, author = {Leichtle, C. and Averbukh, I. Sh. and Schleich, W. P.}, title = {Generic Structure of Multilevel Quantum Beats}, year = {1996}, month = {Nov}, DOI = {10.1103/PhysRevLett.77.3999}, journal = {Phys. Rev. Lett.}, volume = {77}, publisher = {American Physical Society}, pages = {3999--4002}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.77.3999} } @Article { PhysRevLett.77.2198, author = {Bardroff, P. J. and Leichtle, C. and Schrade, G. and Schleich, W. P.}, title = {Endoscopy in the Paul Trap: Measurement of the Vibratory Quantum State of a Single Ion}, year = {1996}, month = {Sep}, DOI = {10.1103/PhysRevLett.77.2198}, journal = {Phys. Rev. Lett.}, volume = {77}, publisher = {American Physical Society}, pages = {2198--2201}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.77.2198} } @Article { Freyberger_1995, author = {Freyberger, M. and Heni, M. and Schleich, W. P.}, title = {Two-mode quantum phase}, abstract = {The authors review the operational quantum phase description of Noh, Fougeres and Mandel (1991-3) (NFM) and show that in the strong local oscillator limit it leads us to a two-mode theory of phase. This two-mode description contains the quantum phase of Paul (1993) as a special case. Furthermore this approach connects directly with a generalized and measurable phase space distribution.}, year = {1995}, month = {jun}, DOI = {10.1088/1355-5111/7/3/001}, journal = {Quantum and Semiclassical Optics: Journal of the European Optical Society Part B}, volume = {7}, publisher = {\{IOP\} Publishing}, pages = {187--203}, number = {3}, file_url = {https://doi.org/10.1088{\%}2F1355-5111{\%}2F7{\%}2F3{\%}2F001} } @Article { Schrade_1995, author = {Schrade, G. and Man'ko, V. I. and Schleich, W. P. and Glauber, R. J.}, title = {Wigner functions in the Paul trap}, abstract = {The authors review the theory of the harmonic oscillator with time-dependent frequency by means of an approach based on an operator constant of the motion. With the help of this operator constant we define the ground state, the excited states and a coherent state of the oscillator and discuss the time dependence of these states through their Wigner functions. The authors derive the Wigner function of an arbitrary state at time t evolving in the time-dependent harmonic potential. Moreover, they calculate the correlation coefficient between position and momentum, which appears in the Schrodinger uncertainty relation. The authors illustrate their results for the example of a charged particle in the Paul trap.}, year = {1995}, month = {jun}, DOI = {10.1088/1355-5111/7/3/009}, journal = {Quantum and Semiclassical Optics: Journal of the European Optical Society Part B}, volume = {7}, publisher = {IOP Publishing}, pages = {307--325}, number = {3}, file_url = {https://doi.org/10.1088{\%}2F1355-5111{\%}2F7{\%}2F3{\%}2F009} } @Article { Gallas1995, author = {Gallas, J. A. C. and Schleich, W. P. and Wheeler, J. A.}, title = {Waves at walls, corners, heights: Looking for simplicity}, abstract = {We discuss the transition probability between energy eigenstates of two displaced ``irrigation canal'' potentials in its dependence on final state energy and wall steepness. We relate the probability caught underneath the Franck-Condon maximum to the missing probability in the corresponding problem of two displaced infinitely steep and infinitely high potential wells.}, year = {1995}, month = {Feb}, day = {01}, issn = {1432-0649}, DOI = {10.1007/BF01135875}, journal = {Applied Physics B}, volume = {60}, pages = {279--287}, number = {2}, file_url = {https://doi.org/10.1007/BF01135875} } @Article { PhysRevA.51.4963, author = {Bardroff, P. J. and Mayr, E. and Schleich, W. P.}, title = {Quantum state endoscopy: Measurement of the quantum state in a cavity}, year = {1995}, month = {Jun}, DOI = {10.1103/PhysRevA.51.4963}, journal = {Phys. Rev. A}, volume = {51}, publisher = {American Physical Society}, pages = {4963--4966}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.51.4963} } @Article { 166008982171_1995, author = {Schleich, W. P.}, title = {Quantum Optics}, year = {1995}, DOI = {10.1063/1.2808065}, journal = {Physics Today}, volume = {48}, pages = {55-56}, number = {6}, annotation = {Review of book with the same title by D.F. Walls and G. Milburn Phys. Today 48, (6) 55-56 (1995) 96. M.} } @Article { doi:10.1111/j.1749-6632.1995.tb38995.x, author = {Kr\{\"\{a\}hmer, D. S. and Vogel, K. and Akulin, V. M. and Schleich, W. P.}, title = {Quantum Interference, State Engineering, and Quantum Eraser}, year = {1995}, DOI = {10.1111/j.1749-6632.1995.tb38995.x}, journal = {Annals of the New York Academy of Sciences}, volume = {755}, pages = {545-559}, number = {1}, file_url = {https://nyaspubs.onlinelibrary.wiley.com/doi/abs/10.1111/j.1749-6632.1995.tb38995.x} } @Article { PhysRevA.51.1792, author = {Hillery, M. and Freyberger, M. and Schleich, W.}, title = {Phase distributions and large-amplitude states}, year = {1995}, month = {Mar}, DOI = {10.1103/PhysRevA.51.1792}, journal = {Phys. Rev. A}, volume = {51}, publisher = {American Physical Society}, pages = {1792--1803}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.51.1792} } @Article { PhysRevLett.74.3959, author = {Bardroff, P. J. and Bia\{\l\}ynicki-Birula, I. and Kr\{\"\{a\}hmer, D. S. and Kurizki, G. and Mayr, E. and Stifter, P. and Schleich, W. P.}, title = {Dynamical Localization: Classical vs Quantum Oscillations in Momentum Spread of Cold Atoms}, year = {1995}, month = {May}, DOI = {10.1103/PhysRevLett.74.3959}, journal = {Phys. Rev. Lett.}, volume = {74}, publisher = {American Physical Society}, pages = {3959--3962}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.74.3959} } @Article { Bestle1995, author = {Bestle, J. and Schleich, W. P. and Wheeler, J. A.}, title = {Anti-stealth: WKB grapples with a corner}, abstract = {We show how the Wentzel-Kramers-Brillouin (WKB) approximation works for potentials with sharp corners.}, year = {1995}, month = {Feb}, day = {01}, issn = {1432-0649}, DOI = {10.1007/BF01135876}, journal = {Applied Physics B}, volume = {60}, pages = {289--299}, number = {2}, file_url = {https://doi.org/10.1007/BF01135876} } @Article { Mayr_Kraehmer_Herkommer_Akulin_Schleich_Averaukh_1994, author = {Mayr, E. and Kr\{\"\{a\}hmer, D. and Akulin, V. M. and Herkommer, A. and Schleich, W. P. and Averbukh, I. Sh.}, title = {Phase Space as Arena for Atomic Motion in a Quantized Light Field}, year = {1994}, month = {Jul}, issn = {0587-4246}, journal = {Acta Physica Polonica A}, volume = {86}, pages = {81–95}, number = {1} } @Article { PhysRevA.49.4101, author = {Dowling, J. P. and Agarwal, G. S. and Schleich, W. P.}, title = {Wigner distribution of a general angular-momentum state: Applications to a collection of two-level atoms}, year = {1994}, month = {May}, DOI = {10.1103/PhysRevA.49.4101}, journal = {Phys. Rev. A}, volume = {49}, publisher = {American Physical Society}, pages = {4101--4109}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.49.4101} } @Article { doi:10.1080/09500349414551721, author = {Schaufler, S. and Freyberger, M. and Schleich, W. P.}, title = {The Birth of a Phase-cat}, year = {1994}, DOI = {10.1080/09500349414551721}, journal = {Journal of Modern Optics}, volume = {41}, publisher = {Taylor \{\\&\} Francis}, pages = {1765-1779}, number = {9} } @Article { PhysRevLett.72.437, author = {Averbukh, I. Sh. and Akulin, V. M. and Schleich, W. P.}, title = {Quantum lens for atomic waves}, year = {1994}, month = {Jan}, DOI = {10.1103/PhysRevLett.72.437}, journal = {Phys. Rev. Lett.}, volume = {72}, publisher = {American Physical Society}, pages = {437--441}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.72.437} } @Article { PhysRevA.49.5056, author = {Freyberger, M. and Schleich, W.}, title = {Phase uncertainties of a squeezed state}, year = {1994}, month = {Jun}, DOI = {10.1103/PhysRevA.49.5056}, journal = {Phys. Rev. A}, volume = {49}, publisher = {American Physical Society}, pages = {5056--5066}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.49.5056} } @Inproceedings { 371636292441_1994, author = {Schrade, G. and Akulin, V. M. and Man'ko, V. I. and Schleich, W. P.}, title = {Photon Statistics of a Two-Mode Squeezed Vacuum}, year = {1994}, booktitle = {Proceedings of the Third International Workshop on Squeezed States and Uncertainty Relations}, publisher = {NASA Conference Publication}, address = {Goddard Space Flight Center}, editor = {M. H. Rubin and Y.-H. Shih} } @Article { 170431597514_1994, author = {Haken, H. and Schleich, W. and Vollmer, H. D.}, title = {Obituary Hannes Risken}, year = {1994}, DOI = {10.1063/1.2808653}, journal = {Phys. Today}, volume = {47}, pages = {118}, number = {9} } @Inbook { 493074781346_1994, author = {Kr\{\"\{a\}hmer, D. and Mayr, E. and Vogel, K. and Schleich, W. P.}, title = {Meet a Squeezed State and Interfere in Phase Space}, year = {1994}, booktitle = {Current Trends in Optics}, volume = {II}, publisher = {Academic Press Boston}, editor = {J. C. Dainty}, pages = {37-50} } @Article { PhysRevA.49.1562, author = {Scully, M. O. and Walther, H. and Schleich, W. P.}, title = {Feynman's approach to negative probability in quantum mechanics}, year = {1994}, month = {Mar}, DOI = {10.1103/PhysRevA.49.1562}, journal = {Phys. Rev. A}, volume = {49}, publisher = {American Physical Society}, pages = {1562--1566}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.49.1562} } @Article { PhysRevA.49.3127, author = {Herkommer, A. M. and Akulin, V. M. and Schleich, W. P.}, title = {Coherent evolution after the relaxation time}, year = {1994}, month = {Apr}, DOI = {10.1103/PhysRevA.49.3127}, journal = {Phys. Rev. A}, volume = {49}, publisher = {American Physical Society}, pages = {3127--3130}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.49.3127} } @Inproceedings { 10.1007/978-3-642-79101-7_10, author = {Kr\{\"\{a\}hmer, D. S. and Herkommer, A. M. and Mayr, E. and Akulin, V. M. and Averbukh, I. Sh. and Leeuwen, T. and Yakovlev, V. P. and Schleich, W.}, title = {Atom Optics in Quantized Light Fields}, abstract = {We consider the deflection and focusing of atoms in a quantized light field. We study the influence of spontaneous emission on the deflection pattern and propose a method to create narrow atomic wave packets. A possible experiment is suggested.}, year = {1994}, isbn = {978-3-642-79101-7}, booktitle = {Quantum Optics VI}, publisher = {Springer}, address = {Berlin, Heidelberg}, editor = {D. F. Walls and J. D. Harvey}, pages = {87--102} } @Article { 151193918452_1994, author = {Schleich, W.}, title = {At Home in the Universe}, year = {1994}, journal = {Phys. Bl.}, volume = {50}, pages = {717}, annotation = {Review of book with the same title by J.A. Wheeler} } @Article { 367217249980_1994, author = {Schleich, W. and Vollmer, H. D.}, title = {Nachruf auf Hannes Risken}, year = {1994}, journal = {Phys. Bl.}, volume = {50}, pages = {469} } @Article { Freyberger_1993, author = {Freyberger, M. and Vogel, K. and Schleich, W.}, title = {Quantum phase from photon counting and the Q-function}, abstract = {The authors present an exact expression for the joint count probability in an eight-port homodyne detector used in a recent proposal for a phase measurement by Noh et al. (1992). For a strong local oscillator they relate this joint count probability to the Q-function of the arbitrary input state. This Q-function integrated over radius is the phase distribution corresponding to the phase operators of Noh et al.}, year = {1993}, month = {apr}, DOI = {10.1088/0954-8998/5/2/001}, journal = {Quantum Optics: Journal of the European Optical Society Part B}, volume = {5}, publisher = {\{IOP\} Publishing}, pages = {65--67}, number = {2}, file_url = {https://doi.org/10.1088{\%}2F0954-8998{\%}2F5{\%}2F2{\%}2F001} } @Inproceedings { 1993ssurwork29A, author = {Agarwal, G. S. and Dowling, J. P. and Schleich, W. P.}, title = {Wigner functions for nonclassical states of a collection of two-level atoms}, year = {1993}, month = {mar}, booktitle = {Proceedings of the Second International Workshop on Squeezed States and Uncertainty Relations}, publisher = {Nasa Conference Publication}, address = {Goddard Space Flight Center}, editor = {D. Han, Y.S. Kim and V.I. Man'ko}, pages = {329-339}, keywords = {Angular Momentum, Atomic Energy Levels, Electromagnetic Fields, Light Transmission, Quantum Theory, Squeezed States (Quantum Theory), Wigner Coefficient, Atomic Structure, Distribution Functions, Phase-Space Integral, Quantum Mechanics, Spherical Coordinates} } @Article { doi:10.1002/phbl.19930491213, author = {Vogel, K. and Akulin, V. M. and Schleich, W.}, title = {Wie konstruiert man einen Quantenzustand?}, abstract = {Abstract Ein Forschungsschwerpunkt der Quantenoptik ist die Erzeugung von nichtklassischem Licht und das Studium seiner Eigenschaften. Die Herstellung solcher Zust\{\"\{a\}nde beschr\{\"\{a\}nkte sich bis jetzt auf einige typische Beispiele. Als Quantenoptiker w\{\"\{u\}\}nscht man sich zu Weihnachten besonders „sch\{\"\{o\}\}ne”︁ Feldzust\{\"\{a\}nde, f\{\"\{u\}\}r die es nicht so ganz klar ist, wie man sie konstruieren kann. Um solchen W\{\"\{u\}\}nschen entgegenzukommen, beschreiben wir hier ein Verfahren, das es im Prinzip erlaubt, einen beliebigen Zustand f\{\"\{u\}\}r das elektromagnetische Feld aufzubauen. Wir veranschaulichen diese Methode am Beispiel eines Phasenzustands.}, year = {1993}, DOI = {10.1002/phbl.19930491213}, journal = {Physikalische Bl\{\"\{a\}tter}, volume = {49}, pages = {1111-1112}, number = {12}, file_url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/phbl.19930491213} } @Article { Bialynicki_Birula_1993, author = {Bia\{\l\}ynicki-Birula, I. and Freyberger, M. and Schleich, W. P.}, title = {Various measures of quantum phase uncertainty: a comparative study}, abstract = {We compare and contrast five measures of phase uncertainty of a quantum state corresponding to a single mode of the electromagnetic field. The basis of this study are the states which minimize a particular measure for a fixed number of Fock states and normalization. We find these optimal states and study their characteristic properties. These optimal states allow us to establish an ordering of the different definitions for phase uncertainty.}, year = {1993}, month = {jan}, DOI = {10.1088/0031-8949/1993/t48/017}, journal = {Physica Scripta}, volume = {T48}, publisher = {\{IOP\} Publishing}, pages = {113--118}, file_url = {https://doi.org/10.1088{\%}2F0031-8949{\%}2F1993{\%}2Ft48{\%}2F017} } @Article { PhysRevA.47.4258, author = {Fleischhauer, M. and Schleich, W. P.}, title = {Revivals made simple: Poisson summation formula as a key to the revivals in the Jaynes-Cummings model}, year = {1993}, month = {May}, DOI = {10.1103/PhysRevA.47.4258}, journal = {Phys. Rev. A}, volume = {47}, publisher = {American Physical Society}, pages = {4258--4269}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.47.4258} } @Article { PhysRevLett.71.1816, author = {Vogel, K. and Akulin, V. M. and Schleich, W. P.}, title = {Quantum state engineering of the radiation field}, year = {1993}, month = {Sep}, DOI = {10.1103/PhysRevLett.71.1816}, journal = {Phys. Rev. Lett.}, volume = {71}, publisher = {American Physical Society}, pages = {1816--1819}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.71.1816} } @Inproceedings { 871058342967_1993, author = {Vogel, K. and Akulin, V. M. and Schleich, W.}, title = {Quantum State Engineering}, year = {1993}, booktitle = {Symposium on the Foundations of Modern Physics}, publisher = {World Scientific}, address = {Singapore}, editor = {P. Busch, P. Lahti and P. Mittelstaedt}, pages = {369-377} } @Article { Benedict1993, author = {Benedict, M. G. and Schleich, W.}, title = {On the correspondence of semiclassical and quantum phases in cyclic evolutions}, abstract = {Based on the exactly solvable case of a harmonic oscillator, we show that the direct correspondence between the Bohr-Sommerfeld phase of semiclassical quantum mechanics and the topological phase of Aharonov and Anandan is restricted to the case of a coherent state. For other Gaussian wave packets the geometric quantum phase strongly depends on the amount of squeezing.}, year = {1993}, month = {Mar}, day = {01}, issn = {1572-9516}, DOI = {10.1007/BF01883719}, journal = {Foundations of Physics}, volume = {23}, pages = {389--397}, number = {3}, file_url = {https://doi.org/10.1007/BF01883719} } @Article { PhysRevA.48.2398, author = {Schrade, G. and Akulin, V. M. and Man'ko, V. I. and Schleich, W. P.}, title = {Photon statistics of a two-mode squeezed vacuum}, year = {1993}, month = {Sep}, DOI = {10.1103/PhysRevA.48.2398}, journal = {Phys. Rev. A}, volume = {48}, publisher = {American Physical Society}, pages = {2398--2406}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.48.2398} } @Article { PhysRevA.47.R30, author = {Freyberger, M. and Schleich, W.}, title = {Photon counting, quantum phase, and phase-space distributions}, year = {1993}, month = {Jan}, DOI = {10.1103/PhysRevA.47.R30}, journal = {Phys. Rev. A}, volume = {47}, publisher = {American Physical Society}, pages = {R30--R33}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.47.R30} } @Article { FREYBERGER199341, author = {Freyberger, M. and Vogel, K. and Schleich, W. P.}, title = {From photon counts to quantum phase}, abstract = {We derive an exact expression for the joint count probability in an eight-port homodyne detector, when the signal field is in an arbitrary state, the local oscillator is in a coherent state and the other two input states are the vacuum. In the limit of a strong local oscillator this photon count statistics is the scaled Q-function of the signal state. The phase distribution corresponding to this measurement scheme is then the Q-function of the signal field integrated over radius. The physical reason for the Q-function lies in the simultaneous measurement of two two-mode operators. We discuss the dependence of the photon count statistics on the local oscillator intensity using the example of a one-photon Fock state.}, year = {1993}, issn = {0375-9601}, DOI = {https://doi.org/10.1016/0375-9601(93)90313-O}, journal = {Physics Letters A}, volume = {176}, pages = {41 - 46}, number = {1}, file_url = {http://www.sciencedirect.com/science/article/pii/037596019390313O} } @Article { doi:10.1002/phbl.19930491212, author = {Freyberger, M. and Schleich, W.}, title = {Die hohe Kunst der Zustandsmessung}, abstract = {Abstract Zwei wichtige Methoden, um den Zustand eines Quantensystems vollst\{\"\{a\}ndig zu untersuchen, sind die „tomographische Methode”︁ und die „simultane Messung„. Mit ihnen lassen sich Phasenraumfunktionen rekonstruieren, die die volle Information \{\"\{u\}\}ber diesen Zustand enthalten.}, year = {1993}, DOI = {10.1002/phbl.19930491212}, journal = {Physikalische Bl\{\"\{a\}tter}, volume = {49}, pages = {1109-1111}, number = {12}, file_url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/phbl.19930491212} } @Article { PhysRevA.48.746, author = {Bestle, J. and Akulin, V. M. and Schleich, W. P.}, title = {Classical and quantum stabilization of atoms in intense laser fields}, year = {1993}, month = {Jul}, DOI = {10.1103/PhysRevA.48.746}, journal = {Phys. Rev. A}, volume = {48}, publisher = {American Physical Society}, pages = {746--751}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.48.746} } @Article { PhysRevA.48.813, author = {Vogel, K. and Schleich, W. P. and Scully, M. O. and Walther, H.}, title = {Calculation of the micromaser spectrum. II. Eigenvalue approach}, year = {1993}, month = {Jul}, DOI = {10.1103/PhysRevA.48.813}, journal = {Phys. Rev. A}, volume = {48}, publisher = {American Physical Society}, pages = {813--817}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.48.813} } @Article { PhysRevA.48.803, author = {Quang, Tran and Agarwal, G. S. and Bergou, J. and Scully, M. O. and Walther, H. and Vogel, K. and Schleich, W. P.}, title = {Calculation of the micromaser spectrum. I. Green's-function approach and approximate analytical techniques}, year = {1993}, month = {Jul}, DOI = {10.1103/PhysRevA.48.803}, journal = {Phys. Rev. A}, volume = {48}, publisher = {American Physical Society}, pages = {803--812}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.48.803} } @Article { PhysRevA.46.5363, author = {Mann, A. and Revzen, M. and Schleich, W.}, title = {Unique Bell state}, year = {1992}, month = {Nov}, DOI = {10.1103/PhysRevA.46.5363}, journal = {Phys. Rev. A}, volume = {46}, publisher = {American Physical Society}, pages = {5363--5366}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.46.5363} } @Article { PhysRevLett.69.3298, author = {Herkommer, A. M. and Akulin, V. M. and Schleich, W. P.}, title = {Quantum demolition measurement of photon statistics by atomic beam deflection}, year = {1992}, month = {Dec}, DOI = {10.1103/PhysRevLett.69.3298}, journal = {Phys. Rev. Lett.}, volume = {69}, publisher = {American Physical Society}, pages = {3298--3301}, file_url = {https://link.aps.org/doi/10.1103/PhysRevLett.69.3298} } @Inproceedings { 890841574380_1992, author = {Heitmann, H. and Schleich, W. P. and Scully, M. O.}, title = {New laser gyros for tests of metric gravitation theories.}, year = {1992}, month = {Jan}, booktitle = {Proceedings of the first William Fairbanks meeting on Relativity and Gravitational Experiments in Space}, publisher = {World Scientific}, address = {Singapur}, editor = {R. Ruffini}, keywords = {Gravitation Theory: Tests} } @Article { PhysRevA.45.6652, author = {Schleich, W. and Bandilla, A. and Paul, H.}, title = {Phase from Q function via linear amplification}, year = {1992}, month = {May}, DOI = {10.1103/PhysRevA.45.6652}, journal = {Phys. Rev. A}, volume = {45}, publisher = {American Physical Society}, pages = {6652--6654}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.45.6652} } @Inbook { 356403118758_1992, author = {Vogel, K. and Schleich, W. P.}, title = {More on Interference in Phase Space}, year = {1992}, booktitle = {Fundamental Systems in Quantum Optics}, publisher = {Elsevier}, address = {Amsterdam}, editor = {J. Dalibard, J. M. Raimond and J. Zinn-Justin}, pages = {713-765} } @Article { BENARYEH1992259, author = {Ben-Aryeh, Y. and Miller, C. A. and Risken, H. and Schleich, W.}, title = {Inhibition of atomic dipole collapses by squeezed light: a Jaynes-Cummings model treatment}, abstract = {We investigate the collapse of the atomic dipole caused by a squeezed vacuum in an ideal one-mode cavity. The difference between the collapse times of the two quadrature components of the dipole moments is increasing with increasing squeezing parameter. This phenomenon predicted by a hamiltonian Jaynes-Cummings model is similar to the inhibition and enhancement of atomic phase decay predicted by Gardiner for a markovian system.}, year = {1992}, issn = {0030-4018}, DOI = {https://doi.org/10.1016/0030-4018(92)90272-S}, journal = {Optics Communications}, volume = {90}, pages = {259 - 264}, number = {4}, file_url = {http://www.sciencedirect.com/science/article/pii/003040189290272S} } @Inproceedings { 163508627181_1992, author = {Vogel, K. and Schleich, W. P. and S\{\"\{u\}\}\{\"\{s\}\}mann, G. and Walther, H.}, title = {From the One-Atom Maser to Schr\{\"\{o\}\}dinger Cats}, year = {1992}, booktitle = {Proceedings of the 2nd Wigner Symposium}, publisher = {World Scientific}, address = {Singapur}, editor = {H.D. Doebner, W. Scherer and F. Schroeck}, pages = {91-103} } @Article { AGARWAL1992359, author = {Agarwal, G. S. and Home, D. and Schleich, W.}, title = {Einstein-Podolsky-Rosen correlation - parallelism between the Wigner function and the local hidden variable approaches}, abstract = {We show that by using Wigner functions one can develop a treatment of the Einstein-Podolsky-Rosen correlated state of two spin 12 systems in a form similar to that of a local hidden variable model. The quantum mechanical results are exactly reproduced at the cost of allowing the probability distribution function to become negative.}, year = {1992}, issn = {0375-9601}, DOI = {https://doi.org/10.1016/0375-9601(92)90887-R}, journal = {Physics Letters A}, volume = {170}, pages = {359 - 362}, number = {5}, file_url = {http://www.sciencedirect.com/science/article/pii/037596019290887R} } @Article { PhysRevA.46.4110, author = {Akulin, V. M. and Schleich, W. P.}, title = {Landau-Zener transition to a decaying level}, year = {1992}, month = {Oct}, DOI = {10.1103/PhysRevA.46.4110}, journal = {Phys. Rev. A}, volume = {46}, publisher = {American Physical Society}, pages = {4110--4113}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.46.4110} } @Article { PhysRevA.44.5992, author = {Scully, M. O. and Walther, H. and Agarwal, G. S. and Quang, Tran and Schleich, W.}, title = {Micromaser spectrum}, year = {1991}, month = {Nov}, DOI = {10.1103/PhysRevA.44.5992}, journal = {Phys. Rev. A}, volume = {44}, publisher = {American Physical Society}, pages = {5992--5996}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.44.5992} } @Article { doi:10.1002/phbl.19910470707, author = {Schleich, W. P.}, title = {Vom \{\"\{A\}\}therwind zu neuem Licht}, abstract = {Abstract „Erst die Theorie entscheidet dar\{\"\{u\}\}ber, was man beobachten kann.”︁ Diese Bemerkung richtete Albert Einstein im Fr\{\"\{u\}\}hjahr 1926 an Werner Heisenberg im Anschlu\{\"\{s\}\} an dessen Kolloquiumsvortrag in Berlin. Damals galt es einen scheinbaren Widerspruch zwischen Theorie und Experiment aufzul\{\"\{o\}\}sen: Auf der einen Seite verbietet der Formalismus der Quantenmechanik und insbesondere die Kommutatorbeziehung zwischen Ort und Impuls eines Teilchens die Existenz einer Trajektorie. Andererseits beobachtet man diese in einer Wilson-Blasenkammer. Die Aufl\{\"\{o\}\}sung dieses scheinbaren Widerspruchs gelang Heisenberg mit Hilfe der Unbestimmtheitsrelation. – Heute entscheidet die Unbestimmtheitsrelation zwischen elektrischem und magnetischem Feld, d. h. die Fluktuationen in der Amplitude und der Phase des elektromagnetischen Feldes in einem Michelson-Interferometer \{\"\{u\}\}ber die prinzipielle Beobachtbarkeit einer winzigen Gravitationswelleninduzierten Phasenverschiebung. Dies hat die Entwicklung quantenrausch-verminderter Zust\{\"\{a\}nde des Strahlungsfeldes, der gequetschten (engl. squeezed) Zust\{\"\{a\}nde, motiviert und ein neues Gebiet der Quantenoptik geschaffen. \{\"\{A\}\}hnlich haben die \{\"\{U\}\}berlegungen, die Existenz von bevorzugten Bezugsystemen und von Mitf\{\"\{u\}\}hreffekten mittels des Sagnac-Effektes nachweisen zu wollen, auf einen neuen Typ von Laser gef\{\"\{u\}\}hrt, der frei von spontaner Emission ist. – In der vorliegenden Arbeit wollen wir diesen Weg vom Sagnac-Effekt, der urspr\{\"\{u\}\}nglich als \{\"\{A\}\}thernachweis konzipiert war, zu squeezed Zust\{\"\{a\}nden und zum rauschfreien Laser mit korrelierter Spontanemission, d. h. zu neuem Licht nachzeichnen. Die oszillierende Photonenstatistik eines gequetschten Zustandes und ihre Interpretation als Interferenz im Phasenraum bildet den Abschlu\{\"\{s\}\} unserer Wanderung vom \{\"\{A\}\}therwind zu neuem Licht.}, year = {1991}, DOI = {10.1002/phbl.19910470707}, journal = {Physikalische Bl\{\"\{a\}tter}, volume = {47}, pages = {595-601}, number = {7}, file_url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/phbl.19910470707} } @Article { PhysRevA.44.7642, author = {Vogel, W. and Schleich, W.}, title = {Phase distribution of a quantum state without using phase states}, year = {1991}, month = {Dec}, DOI = {10.1103/PhysRevA.44.7642}, journal = {Phys. Rev. A}, volume = {44}, publisher = {American Physical Society}, pages = {7642--7646}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.44.7642} } @Article { PhysRevA.44.2172, author = {Schleich, W. and Pernigo, M. and Kien, Fam Le}, title = {Nonclassical state from two pseudoclassical states}, year = {1991}, month = {Aug}, DOI = {10.1103/PhysRevA.44.2172}, journal = {Phys. Rev. A}, volume = {44}, publisher = {American Physical Society}, pages = {2172--2187}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.44.2172} } @Article { PhysRevA.43.3854, author = {Caves, C. M. and Zhu, Ch. and Milburn, G. J. and Schleich, W.}, title = {Photon statistics of two-mode squeezed states and interference in four-dimensional phase space}, year = {1991}, month = {Apr}, DOI = {10.1103/PhysRevA.43.3854}, journal = {Phys. Rev. A}, volume = {43}, publisher = {American Physical Society}, pages = {3854--3861}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.43.3854} } @Article { doi:10.1002/andp.19915030702, author = {Dowling, J. P. and Schleich, W. P. and Wheeler, J. A.}, title = {Interference in Phase Space}, abstract = {Abstract A central problem in quantum mechanics is the calculation of the overlap, that is, the scalar product between two quantum states. In the semiclassical limit (Bohr's correspondence principle) we visualize this quantity as the area of overlap between two bands in phase space. In the case of more than one overlap the contributing amplitudes have to be combined with a phase difference again determined by an area in phase space. In this sense the familiar double-slit interference experiment is generalized to an interference in phase space. We derive this concept by the WKB approximation, illustrate it by the example of Franck-Condon transitions in diatomic molecules, and compare it with and contrast it to Wigner's concept of pseudo-probabilities in phase space.}, year = {1991}, isbn = {978-3-540-47901-7}, DOI = {10.1002/andp.19915030702}, booktitle = {The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function}, journal = {Annalen der Physik}, volume = {503}, publisher = {Springer Berlin Heidelberg}, address = {Berlin, Heidelberg}, editor = {Kim, Y. S. and Zachary, W. W.}, pages = {423-478}, number = {7}, file_url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/andp.19915030702} } @Article { PhysRevA.44.3365, author = {Schleich, W. P. and Dowling, J. P. and Horowicz, R. J.}, title = {Exponential decrease in phase uncertainty}, year = {1991}, month = {Sep}, DOI = {10.1103/PhysRevA.44.3365}, journal = {Phys. Rev. A}, volume = {44}, publisher = {American Physical Society}, pages = {3365--3368}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.44.3365} } @Article { PhysRevA.44.R1462, author = {Akulin, V. M. and Kien, Fam Le and Schleich, W. P.}, title = {Deflection of atoms by a quantum field}, year = {1991}, month = {Aug}, DOI = {10.1103/PhysRevA.44.R1462}, journal = {Phys. Rev. A}, volume = {44}, publisher = {American Physical Society}, pages = {R1462--R1465}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.44.R1462} } @Article { 685985217397_1991, author = {Schleich, W. P. and S\{\"\{u\}\}\{\"\{s\}\}mann, G.}, title = {A Jump Shot at the Wigner Distribution}, year = {1991}, DOI = {10.1063/1.2810308}, journal = {Phys. Today}, edition = {10}, volume = {44}, pages = {146-148} } @Inproceedings { 440197355866_1991, author = {Schleich, W. P. and Dowling, J. P. and Horowicz, R. J.}, title = {A Gaussian Measure of Quantum Phase Noise}, year = {1991}, booktitle = {Proceedings of the Workshop on Squeezed States and Uncertainty Relations}, publisher = {Nasa Conference Publication}, address = {Goddard Space Flight Center}, editor = {D. Han, Y.S. Kim and W. W. Zachary}, pages = {299-309} } @Article { refId0, author = {Schleich, W. and Walther, H.}, title = {The 1989 Nobel Prize. Ion Traps, an Isolated Electron and Atomic Clocks}, year = {1990}, DOI = {10.1051/epn/19902102031}, journal = {Europhys. News}, volume = {21}, pages = {31-33}, number = {2}, file_url = {https://doi.org/10.1051/epn/19902102031} } @Article { PhysRevA.42.1503, author = {Benkert, C. and Scully, M. O. and Schleich, W. and Rangwala, A. A.}, title = {Quantum-noise suppression in lasers via memory-correlation effects}, year = {1990}, month = {Aug}, DOI = {10.1103/PhysRevA.42.1503}, journal = {Phys. Rev. A}, volume = {42}, publisher = {American Physical Society}, pages = {1503--1514}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.42.1503} } @Article { PhysRevA.42.1703, author = {Yurke, B. and Schleich, W. and Walls, D. F.}, title = {Quantum superpositions generated by quantum nondemolition measurements}, year = {1990}, month = {Aug}, DOI = {10.1103/PhysRevA.42.1703}, journal = {Phys. Rev. A}, volume = {42}, publisher = {American Physical Society}, pages = {1703--1711}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.42.1703} } @Article { 871382959016_1990, author = {Quint, W. and Schleich, W. and Walther, H.}, title = {Ordnung und Chaos in der Paul-Falle}, year = {1990}, journal = {Spektrum der Wissenschaft}, pages = {106} } @Inbook { doi:10.1142/9789812819895_0035, author = {Rempe, G. and Schleich, W. and Scully, M. O. and Walther, H.}, title = {Quantum Effects in Single-Atom and Single-Photon Experiments}, abstract = { Abstract We review our recent work on the one-atom maser. We propose and analyse an experiment based on this maser and designed to probe the way in which the measurement process, that is, the presence of a detector influences the investigated quantum system. Phase transitions between chaotic and ordered structures of ions stored in a Paul trap are analysed. }, year = {1990}, isbn = {978-1-4684-1342-7}, DOI = {10.1142/9789812819895\_0035}, booktitle = {Foundations of Quantum Mechanics in the Light of New Technology}, publisher = {Springer US}, address = {Boston, MA}, editor = {W. Demtr\{\"\{o\}\}der and M. Inguscio}, pages = {336-346}, file_url = {https://doi.org/10.1007/978-1-4684-1342-7\_2} } @Article { PhysRevA.41.3950, author = {Habiger, R. G. K. and Risken, H. and James, M. and Moss, F. and Schleich, W.}, title = {Noise-color-induced quenching of fluctuations in a correlated spontaneous-emission laser model}, year = {1990}, month = {Apr}, DOI = {10.1103/PhysRevA.41.3950}, journal = {Phys. Rev. A}, volume = {41}, publisher = {American Physical Society}, pages = {3950--3959}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.41.3950} } @Inbook { 373276216637_1990, author = {Schleich, W. and Dowling, J. P. and Horowicz, R. J. and Varro, S.}, title = {Asymptotology in Quantum Optics}, year = {1990}, booktitle = {New Frontiers in QED and Quantum Optics}, publisher = {Plenum Press}, address = {New York}, editor = {A. Barut}, pages = {31-61} } @Article { doi:10.1002/andp.19905020805, author = {Benkert, C. and Schleich, W. and Scully, M. O.}, title = {A Heuristic Analysis of Quantum Noise Quenching in the Two-Photon Correlated Emission Laser}, abstract = {Abstract We demonstrate how the two-photon correlated emission laser (CEL) can be understood from a simple physical picture in a quasirigorous fashion. We use semiclassical arguments to derive correct expressions for the phase and amplitude diffusion in a simple way. We then illustrate how noise suppression is achieved in the two-photon CEL.}, year = {1990}, DOI = {10.1002/andp.19905020805}, journal = {Annalen der Physik}, volume = {502}, pages = {649-658}, number = {8}, file_url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/andp.19905020805} } @Inbook { Orszag1989, author = {Orszag, M. and Bergou, J. and Schleich, W. and Scully, M. O.}, title = {The Correlated Spontaneous Emission Laser: Theory and Recent Developments}, abstract = {As originally conceived a correlated spontaneous emission laser showed quenching of spontaneous emission quantum fluctuations in the relative phase angle of a two mode laser. It has been shown by several approaches (e.g. quantum noise operator, Fokker-Planck equation, etc.) that such devices can, in principle, have vanishing noise in this relative phase angle. A geometric pictorial analysis along these lines has been given and provides a simple intuitive explanation for this quantum noise quenching which has also been supported by recent experimental investigations.}, year = {1989}, isbn = {978-1-4757-6574-8}, DOI = {10.1007/978-1-4757-6574-8\_21}, booktitle = {Squeezed and Non-Classical Light}, volume = {190}, publisher = {Springer US}, address = {Boston, MA}, series = {NATO ASI Series (Series B: Physics)}, editor = {P. Tombesi and E. R. Pike}, pages = {287--299}, file_url = {https://doi.org/10.1007/978-1-4757-6574-8\_21} } @Inproceedings { 549861005494_1989, author = {Bl\{\"\{u\}\}mel, R. and Chen, J. M. and Diedrich, F. and Peik, E. and Quint, W. and Schleich, W. and Shen, Y. R. and Walther, H.}, title = {Phase Transitions of Stored Laser-Cooled Ions}, year = {1989}, booktitle = {Proceedings of the Eleventh International Conference on Atomic Physics}, publisher = {World Scientific}, address = {Singapur}, editor = {S. Haroche, J.C. Gay and G. Grynberg}, pages = {243-259} } @Inbook { Schleich1989, author = {Schleich, W. P.}, title = {Phase Space, Correspondence Principle and Dynamical Phases: Photon Count Probabilities of Coherent and Squeezed States via Interfering Areas in Phase Space}, abstract = {Motion of an electron around a nucleus or, in its most elementary version, vibratory motion of a harmonic oscillator viewed in Planck-Bohr-Sommerfeld quantized phase space;1--3 and matching the discrete, microscopic world with the continuous, macroscopic world via Bohr's correspondence principle,4--5 these are the essential ingredients of ``Atommechanik''.4 Combined with the concept of interference - expressed in the familiar double-slit experiment6 - these central ideas of early quantum mechanics provide in the present paper the most vivid sources of insight into the photon count probability, Wm, of a coherent state7--9 shown in Fig. 1 and into the oscillatory10--15 photon statistics16 of a highly squeezed stat17 of a single mode of the electromagnetic field depicted in Fig. 2.}, year = {1989}, isbn = {978-1-4757-6574-8}, DOI = {10.1007/978-1-4757-6574-8\_10}, booktitle = {Squeezed and Non-Classical Light}, volume = {190}, publisher = {Springer US}, address = {Boston, MA}, series = {NATO ASI Series (Series B: Physics)}, editor = {P. Tombesi and E. R. Pike}, pages = {129--149}, file_url = {https://doi.org/10.1007/978-1-4757-6574-8\_10} } @Article { Qunit_1989, author = {Quint, W. and Schleich, W. and Walther, H.}, title = {Order and chaos with frozen ions}, abstract = {A single ion at rest, unperturbed by its environment and forced into such a state for hours – once only a physicist's dream – has now been achieved by the combination of electromagnetic traps and laser technology. The Penning trap and the dynamical Paul trap developed in the 1930s and the late 1950s respectively, provide the experimenter with a unique tool to isolate a single ion from its surroundings. Tunable lasers can then be used to force the ion to fluoresce; simultaneously, as will be described, it is cooled to milli- or even micro-Kelvin temperatures. An ion driven into saturation by a sufficiently high laser intensity so that it spends half of the time in the excited state and half in the ground state, scatters roughly 108 photons per second. This leads to a high detection probability and at the same time to a reduction of the ion's kinetic energy via photon recoil.}, year = {1989}, month = {aug}, DOI = {10.1088/2058-7058/2/8/22}, journal = {Physics World}, volume = {2}, publisher = {\{IOP\} Publishing}, pages = {30--34}, number = {8}, file_url = {https://doi.org/10.1088{\%}2F2058-7058{\%}2F2{\%}2F8{\%}2F22} } @Article { 183476408540_1989, author = {Quint, W. and Schleich, W. and Walther, H.}, title = {Le pi\{\'\{e\}\}geage des ions}, year = {1989}, journal = {La Recherche}, volume = {20}, pages = {1194-1203} } @Inproceedings { 1989nnds....2..271V, author = {Vogel, K. and Risken, H. and Schleich, W.}, title = {Noise in a ring-laser gyroscope}, year = {1989}, booktitle = {Noise in nonlinear dynamical systems}, volume = {2}, publisher = {Cambridge University Press}, address = {Cambridge and New York}, editor = {F. Moss and P.V.E. McClintock}, pages = {271-292}, keywords = {Laser Gyroscopes, Noise Spectra, Ring Lasers, White Noise, Beat Frequencies, Fokker-Planck Equation, Langevin Formula, Laser Interferometry, Wave Propagation} } @Article { PhysRevA.40.7405, author = {Schleich, W. and Horowicz, R. J. and Varro, S.}, title = {Bifurcation in the phase probability distribution of a highly squeezed state}, year = {1989}, month = {Dec}, DOI = {10.1103/PhysRevA.40.7405}, journal = {Phys. Rev. A}, volume = {40}, publisher = {American Physical Society}, pages = {7405--7408}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.40.7405} } @Inproceedings { 122494064000_1989, author = {Schleich, W. and Horowicz, R. J. and Varro, S.}, title = {Area of Overlap and Interference in Phase Space as a Guide to Phase Distribution and Wigner Function in Action-Angle Variables of a Squeezed State}, year = {1989}, isbn = {978-3-642-74953-7}, issn = {0930-8989}, booktitle = {Quantum Optics V}, journal = {Proceedings of the Fifth International Symposium Rotorua, New Zealand, February 13–17, 1989}, volume = {41}, publisher = {Springer}, address = {Berlin, Heidelberg}, series = {Springer Proceedings in Physics}, editor = {J.D. Harvey and D. F. Walls}, pages = {133-142} } @Inproceedings { 707237671763_1989, author = {Benkert, C. and Schleich, W. and Scully, M. O.}, title = {A Physical Picture of the Two-Photon Correlated Spontaneous Emission Laser}, year = {1989}, booktitle = {Proceedings of the Eleventh International Conference on Atomic Physics}, publisher = {World Scientific}, address = {Singapur}, editor = {S. Haroche, J.C. Gay and G. Grynberg}, pages = {457-465} } @Article { Schleich1989, author = {Schleich, W. and McClintock, P. V. E.}, title = {Humpty Dumpty to Moslem art}, year = {1989}, issn = {1476-4687}, DOI = {10.1038/339257a0}, journal = {Nature}, volume = {339}, pages = {257-258}, number = {6222}, file_url = {https://doi.org/10.1038/339257a0} } @Article { Schleich1988, author = {Schleich, W. and Walther, H. and Wheeler, J. A.}, title = {Area in phase space as determiner of transition probability: Bohr-Sommerfeld bands, Wigner ripples, and Fresnel zones}, abstract = {We consider an oscillator subjected to a sudden change in equilibrium position or in effective spring constant, or both---to a ``squeeze'' in the language of quantum optics. We analyze the probability of transition from a given initial state to a final state, in its dependence on final-state quantum number. We make use of five sources of insight: Bohr-Sommerfeld quantization via bands in phase space, area of overlap between before-squeeze band and after-squeeze band, interference in phase space, Wigner function as quantum update of B-S band and near-zone Fresnel diffraction as mockup Wigner function.}, year = {1988}, month = {Oct}, day = {01}, issn = {1572-9516}, DOI = {10.1007/BF01909932}, journal = {Found. Phys.}, volume = {18}, pages = {953--968}, number = {10}, file_url = {https://doi.org/10.1007/BF01909932} } @Article { PhysRevA.38.1177, author = {Schleich, W. and Walls, D. F. and Wheeler, J. A.}, title = {Area of overlap and interference in phase space versus Wigner pseudoprobabilities}, year = {1988}, month = {Aug}, DOI = {10.1103/PhysRevA.38.1177}, journal = {Phys. Rev. A}, volume = {38}, publisher = {American Physical Society}, pages = {1177--1186}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.38.1177} } @Article { Bluemel1988, author = {Bl\{\"\{u\}\}mel, R. and Chen, J. M. and Peik, E. and Quint, W. and Schleich, W. and Shen, Y. R. and Walther, H.}, title = {Phase transitions of stored laser-cooled ions}, abstract = {Single ions in miniature traps can be imaged by using laser light to stimulate fluorescence radiation. At the same time, radiation pressure can be used to bring them nearly to rest. When a small number of ions are trapped, phase transitions can be observed between a chaotic cloud and an ordered crystalline structure, depending on the degree of laser cooling.}, year = {1988}, issn = {1476-4687}, DOI = {10.1038/334309a0}, journal = {Nature}, volume = {334}, pages = {309-313}, number = {6180}, file_url = {https://doi.org/10.1038/334309a0} } @Article { PhysRevA.37.1261, author = {Schleich, W. and Scully, M. O.}, title = {Quantum-noise quenching in the correlated spontaneous-emission laser as a multiplicative noise process. I. A geometrical argument}, year = {1988}, month = {Feb}, DOI = {10.1103/PhysRevA.37.1261}, journal = {Phys. Rev. A}, volume = {37}, publisher = {American Physical Society}, pages = {1261--1269}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.37.1261} } @Article { PhysRevA.37.3010, author = {Schleich, W. and Scully, M. O. and Garssen, H.-G.}, title = {Quantum-noise quenching in the correlated spontaneous-emission laser as a multiplicative noise process. II. Rigorous analysis including amplitude noise}, year = {1988}, month = {Apr}, DOI = {10.1103/PhysRevA.37.3010}, journal = {Phys. Rev. A}, volume = {37}, publisher = {American Physical Society}, pages = {3010--3017}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.37.3010} } @Article { Schleich1987, author = {Schleich, W. and Wheeler, J. A.}, title = {Oscillations in photon distribution of squeezed states and interference in phase space}, abstract = {The drive for both noise-free message transmission1,2 and high precision gravity wave detection3,4 has stimulated immense effort on a key element, a squeezed state5,6 of the electromagnetic field. Such non-classical states have been investigated theoretically in great detail1-7 and have now been realized experimentally in four laboratories in the United States8-13. However, nowhere in the literature have we been able to find the striking feature of a squeezed state which we report here: an oscillatory distribution in photon number14,15. These oscillations, and the conditions which produce them, came to light in the course of an investigation of sudden transitions16 (the Franck-Condon effect in molecular physics17,18) based on the semi-classical description of a quantum state19 as motion of a representative point in the phase space defined by oscillator coordinate and oscillator momentum.}, year = {1987}, issn = {1476-4687}, DOI = {10.1038/326574a0}, journal = {Nature}, volume = {326}, pages = {574-577}, number = {6113}, file_url = {https://doi.org/10.1038/326574a0} } @Inproceedings { 10.1007/978-3-540-47973-4_35, author = {Gea-Banacloche, J. and Schleich, W. and Scully, M. O.}, title = {Tests of General Relativity and the Correlated Emission Laser}, abstract = {The arena of space-time and metric gravity is a grand playground for modern quantum optical scientists. Work in this field defines the cutting edge of technology, from precision interferometry to the quantum ``limits'' of measurement.}, year = {1987}, isbn = {978-3-540-47973-4}, DOI = {10.1007/978-3-540-47973-4\_35}, booktitle = {Laser Spectroscopy VIII}, edition = {Springer Series in Optical Sciences}, volume = {55}, publisher = {Springer}, address = {Berlin, Heidelberg}, editor = {W. Persson and S. Svanberg}, pages = {139--142} } @Article { PhysRevA.35.463, author = {Vogel, K. and Risken, H. and Schleich, W. and James, M. and Moss, F. and McClintock, P. V. E.}, title = {Skewed probability densities in the ring laser gyroscope: A colored noise effect}, year = {1987}, month = {Jan}, DOI = {10.1103/PhysRevA.35.463}, journal = {Phys. Rev. A}, volume = {35}, publisher = {American Physical Society}, pages = {463--465}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.35.463} } @Inproceedings { 132970488113_1987, author = {Schleich, W. and Walther, H.}, title = {Single Atom and Single Photon Experiments}, year = {1987}, booktitle = {Foundations of quantum mechanics in the light of new technology, Proceedings of the Second International Symposium on Foundations of Quantum Mechanics}, publisher = {Physical Society of Japan}, address = {Tokyo}, editor = {K. Kamiyama}, pages = {25--35} } @Article { PhysRevA.35.4882, author = {Vogel, K. and Leiber, Th. and Risken, H. and H\{\"\{a\}nggi, P. and Schleich, W.}, title = {Locking equation with colored noise: Continued fraction solution versus decoupling theory}, year = {1987}, month = {Jun}, DOI = {10.1103/PhysRevA.35.4882}, journal = {Phys. Rev. A}, volume = {35}, publisher = {American Physical Society}, pages = {4882--4885}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.35.4882} } @Article { Schleich:87, author = {Schleich, W. and Wheeler, J. A.}, title = {Oscillations in photon distribution of squeezed states}, abstract = {We show that the photon distribution of a highly squeezed state exhibits oscillations.}, year = {1987}, month = {Oct}, DOI = {10.1364/JOSAB.4.001715}, journal = {J. Opt. Soc. Am. B}, volume = {4}, publisher = {OSA}, pages = {1715--1722}, number = {10}, keywords = {Coherent states; Mathematical methods; Phase space analysis methods; Photons; Quantum fluctuations; Squeezed states}, file_url = {http://josab.osa.org/abstract.cfm?URI=josab-4-10-1715} } @Inbook { PhaseSpace1987, author = {Schleich, W. and Wheeler, J. A.}, title = {Interference in Phase Space}, year = {1987}, isbn = {978-3-540-47901-7}, DOI = {10.1007/3-540-17894-5\_346}, booktitle = {The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function}, volume = {278}, publisher = {Springer}, address = {Berlin, Heidelberg}, series = {Lecture Notes in Physics}, editor = {Y.S. Kim and W.W. Zachary} } @Article { PhysRevA.35.2532, author = {Hellmuth, T. and Walther, H. and Zajonc, A. and Schleich, W.}, title = {Delayed-choice experiments in quantum interference}, year = {1987}, month = {Mar}, DOI = {10.1103/PhysRevA.35.2532}, journal = {Phys. Rev. A}, volume = {35}, publisher = {American Physical Society}, pages = {2532--2541}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.35.2532} } @Article { doi:10.1063/1.339751, author = {Vogel, K. and Risken, H. and Schleich, W. and James, M. and Moss, F. and Mannella, R. and McClintock, P. V. E.}, title = {Colored noise in the ring‐laser gyroscope: Theory and simulation}, year = {1987}, DOI = {10.1063/1.339751}, journal = {J. Appl. Phys.}, volume = {62}, pages = {721-723}, number = {2} } @Inproceedings { pedrotti1985, author = {Pedrotti, L. M. and Schleich, W. and Scully, M. O.}, title = {Laser Probes Of General Relativity}, year = {1986}, DOI = {10.1117/12.976087}, booktitle = {Proceedings of the Southwest Conference on Optics, Albuquerque 1985}, volume = {0540}, publisher = {SPIE}, address = {Bellingham}, editor = {S. Stotlar} } @Inbook { Schleich1986, author = {Schleich, W. and Dobiasch, P. and Sanders, V. E. and Scully, M. O.}, title = {Nonequilibrium Statistical Physics in a Dithered Ring Laser Gyroscope or Quantum Noise in Pure and Applied Physics}, abstract = {In the year 1851 Foucault demonstrated that the slow rotation of the plane of vibration of a pendulum could be used as evidence of the earth's own rotation. Nowadays high precision measurements of the earth's rotation are performed by using radio telescopes in Very Long Baseline interferometry [1]. However, a recent proposal [2] takes advantage of the ultra high sensitivity of a ring laser gyroscope [3] of 10m diameter to monitor changes in earth rate* or Universal time. The underlying principle of such a device is the optical analogue of the Foucault pendulum, the so-called Sagnac effect [5,6]. The frequencies of two counterpropagating waves in a ring interferometer are slightly different when the interferometer is rotating about an axis perpendicular to its plane. Since this frequency difference is proportional to the rotation rate it provides a direct measure of the rotation of the system.}, year = {1986}, isbn = {978-1-4613-2181-1}, DOI = {10.1007/978-1-4613-2181-1\_27}, booktitle = {Frontiers of Nonequilibrium Statistical Physics}, volume = {135}, publisher = {Springer US}, address = {Boston, MA}, series = {NATO ASI Series (Series B: Physics)}, editor = {G.T. Moore and M. O. Scully}, pages = {385--408}, file_url = {https://doi.org/10.1007/978-1-4613-2181-1\_27} } @Article { RevModPhys.57.61, author = {Chow, W. W. and Gea-Banacloche, J. and Sanders, V. E. and Schleich, W. and Scully, M. O.}, title = {The ring laser gyro}, year = {1985}, month = {Jan}, DOI = {10.1103/RevModPhys.57.61}, journal = {Rev. Mod. Phys.}, volume = {57}, publisher = {American Physical Society}, pages = {61--104}, file_url = {https://link.aps.org/doi/10.1103/RevModPhys.57.61} } @Inproceedings { Scully:1982fn, author = {Schleich, W. and Scully, M. O.}, title = {General Relativity and Modern Optics}, year = {1984}, booktitle = {New Trends in Atomic Physics}, journal = {Proceedings of the Les Houches Summer School, Session XXXVIII, 1982}, publisher = {North Holland Physics Publ.}, address = {Amsterdam}, editor = {R. Stora and G. Grynberg}, pages = {995-1124} } @Article { SCHLEICH198463, author = {Schleich, W. and Dobiasch, P.}, title = {Noise analysis of ring-laser gyroscope with arbitrary dither}, abstract = {A “universal” formalism is presented which allows to treat quantum noise in a ring-laser gyroscope in the presence of any arbitrary, periodic and symmetric dither. An exact expression for the mean beat frequency ⤤\{\A\{E\}\}↩F↩t in terms of infinite matrix continued fractions is obtained. The results are applied to a square-wave dithered gyroscope.}, year = {1984}, issn = {0030-4018}, DOI = {https://doi.org/10.1016/0030-4018(84)90074-9}, journal = {Opt. Commun.}, volume = {52}, pages = {63 - 68}, number = {1}, file_url = {http://www.sciencedirect.com/science/article/pii/0030401884900749} } @Article { PhysRevA.29.230, author = {Schleich, W. and Cha, C.-S. and Cresser, J. D.}, title = {Quantum noise in a dithered-ring-laser gyroscope}, year = {1984}, month = {Jan}, DOI = {10.1103/PhysRevA.29.230}, journal = {Phys. Rev. A}, volume = {29}, publisher = {American Physical Society}, pages = {230--238}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.29.230} } @Inproceedings { 10.1007/978-1-4757-0605-5_135, author = {Schleich, W. and Scully, M. O. and Sanders, V.}, title = {Quantum Noise in Ring-Laser Gyroscopes}, abstract = {The new generation of ring-laser gyroscopes1 can compete with their mechanical counterparts. They can now operate down to a small fraction of earth rotation rate using rings of 1-m diameter, which makes them interesting for tests of metric gravitation theories.2 They have reached a sensitivity where the noise limit is only due to the quantum fluctuations, which arise from spontaneous emission of the laser atoms. Whereas all kinds of mechanical noise can be circumvented by some ``tricky'' techniques, there is no way around the quantum noise, which stems from the quantization of the electric field in the resonator. The final limitation of ring-laser gyroscopes is thus given by the quantum noise.3 Therefore it is important to understand this effect in detail.}, year = {1984}, isbn = {978-1-4757-0605-5}, DOI = {10.1007/978-1-4757-0605-5\_135}, booktitle = {Coherence and Quantum Optics V}, publisher = {Springer US}, address = {Boston, MA}, editor = {L. Mandel and E. Wolf}, pages = {915--922} } @Article { PhysRevA.25.2214, author = {Cresser, J. D. and Louisell, W. H. and Meystre, P. and Schleich, W. and Scully, M. O.}, title = {Quantum noise in ring-laser gyros. I. Theoretical formulation of problem}, year = {1982}, month = {Apr}, DOI = {10.1103/PhysRevA.25.2214}, journal = {Phys. Rev. A}, volume = {25}, publisher = {American Physical Society}, pages = {2214--2225}, file_url = {https://link.aps.org/doi/10.1103/PhysRevA.25.2214} }