This file was created by the TYPO3 extension publications
--- Timezone: CEST
Creation date: 2022-01-28
Creation time: 04:28:12
--- Number of references
404
article
di_pumpo_gravitational_2021
Gravitational Redshift Tests with Atomic Clocks and Atom Interferometers
2021
11
11
10.1103/PRXQuantum.2.040333
PRX Quantum
2
Publisher: American Physical Society
F.
Di Pumpo
C.
Ufrecht
A.
Friedrich
E.
Giese
W. P.
Schleich
W. G.
Unruh
article
2021
Diffractive focusing of a uniform Bose Einstein condensate
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.
2021
10
19
10.1088/1361-6455/ac2ab6
J. Phys. B: At. Mol. Opt. Phys.
54
P.
Boegel
M.
Meister
J.-N.
Siemß
N.
Gaaloul
M. A.
Efremov
W. P.
Schleich
article
Qubit-based momentum measurement of a particle
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.
2021
10
16
10.1140/epjd/s10053-021-00282-6
The European Physical Journal D
75
B.
Konrad
F.
Di Pumpo
M.
Freyberger
article
weisman_diffractive_2021
Diffractive Guiding of Waves by a Periodic Array of Slits
2021
7
2
10.1103/PhysRevLett.127.014303
Phys. Rev. Lett.
127
Publisher: American Physical Society
D.
Weisman
C. M.
Carmesin
G.G.
Rozenman
M. A.
Efremov
L.
Shemer
W. P.
Schleich
A.
Arie
article
doi:10.1063/5.0048806
Atom interferometry with quantized light pulses
2021
4
29
10.1063/5.0048806
The Journal of Chemical Physics
154
K.
Soukup
F.
Di Pumpo
T.
Aßmann
W. P.
Schleich
E.
Giese
article
Rozenman2021
Projectile motion of surface gravity water wave packets: An analogy to quantum mechanics
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.
2021
4
16
10.1140/epjs/s11734-021-00096-y
The European Physical Journal Special Topics
230
G. G.
Rozenman
M.
Zimmermann
M. A.
Efremov
W. P.
Schleich
W. B.
Case
D. M.
Greenberger
L.
Shemer
A.
Arie
article
lachmann_ultracold_2021
Ultracold atom interferometry in space
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.
2021
2
26
10.1038/s41467-021-21628-z
Nature Comm.
12
M.D.
Lachmann
H.
Ahlers
D.
Becker
A. N.
Dinkelaker
J.
Grosse
O.
Hellmig
H.
Müntinga
V.
Schkolnik
S. T.
Seidel
T.
Wendrich
A.
Wenzlawski
B.
Carrick
N.
Gaaloul
D.
Lüdtke
C.
Braxmaier
W.
Ertmer
M.
Krutzik
C.
Lämmerzahl
A.
Peters
W. P.
Schleich
K.
Sengstock
A.
Wicht
P.
Windpassinger
E. M.
Rasel
article
PhysRevA.103.023305
Generalized gravity-gradient mitigation scheme
2021
2
3
10.1103/PhysRevA.103.023305
Phys. Rev. A
103
C.
Ufrecht
article
frye_bose-einstein_2021
The Bose-Einstein Condensate and Cold Atom Laboratory
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.
2021
1
4
10.1140/epjqt/s40507-020-00090-8
The European Physical Journal Quantum Technology
8
K.
Frye
S.
Abend
W.
Bartosch
A.
Bawamia
D.
Becker
H.
Blume
C.
Braxmaier
S.-W.
Chiow
M. A.
Efremov
W.
Ertmer
P.
Fierlinger
T.
Franz
N.
Gaaloul
J.
Grosse
C.
Grzeschik
O.
Hellmig
V. A.
Henderson
W.
Herr
U.
Israelsson
J.
Kohel
M.
Krutzik
C.
Kürbis
C.
Lämmerzahl
M.
List
D.
Lüdtke
N.
Lundblad
J. P.
Marburger
M.
Meister
M.
Mihm
H.
Müller
H.
Müntinga
A. M.
Nepal
T.
Oberschulte
A.
Papakonstantinou
J.
Perovs̆ek
A.
Peters
A.
Prat
E. M.
Rasel
A.
Roura
M.
Sbroscia
W. P.
Schleich
C.
Schubert
S. T.
Seidel
J.
Sommer
C.
Spindeldreier
D.
Stamper-Kurn
B. K.
Stuhl
M.
Warner
T.
Wendrich
A.
Wenzlawski
A.
Wicht
P.
Windpassinger
N.
Yu
L.
Wörner
article
PhysRevA.102.063326
Atomic Raman scattering: Third-order diffraction in a double geometry
2020
12
22
10.1103/PhysRevA.102.063326
Phys. Rev. A
102
Sabrina
Hartmann
Jens
Jenewein
S.
Abend
A.
Roura
E.
Giese
article
PhysRevResearch.2.043240
Atom-interferometric test of the universality of gravitational redshift and free fall
2020
11
16
10.1103/PhysRevResearch.2.043240
Phys. Rev. Research
2
C.
Ufrecht
F.
Di Pumpo
A.
Friedrich
A.
Roura
C.
Schubert
Dennis
Schlippert
E. M.
Rasel
W. P.
Schleich
E.
Giese
article
Seiler_2020
Estimating the privacy of quantum-random numbers
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.
2020
9
21
10.1088/1367-2630/abac73
New J. Phys.
22
Johannes
Seiler
Thomas
Strohm
W. P.
Schleich
article
PhysRevA.102.027302
Reply to "Comment on 'Perturbative operator approach to high-precision light-pulse atom interferometry' ''
2020
8
20
10.1103/PhysRevA.102.027302
Phys. Rev. A
102
C.
Ufrecht
E.
Giese
article
PhysRevA.101.053615
Perturbative operator approach to high-precision light-pulse atom interferometry
2020
5
8
10.1103/PhysRevA.101.053615
Phys. Rev. A
101
C.
Ufrecht
E.
Giese
article
PhysRevA.101.053610
Regimes of atomic diffraction: Raman versus Bragg diffraction in retroreflective geometries
2020
5
8
10.1103/PhysRevA.101.053610
Phys. Rev. A
101
S.
Hartmann
J.
Jenewein
E.
Giese
S.
Abend
A.
Roura
E.M.
Rasel
W.P.
Schleich
article
PhysRevResearch.2.023027
Quantum and classical phase-space dynamics of a free-electron laser
2020
4
10
10.1103/PhysRevResearch.2.023027
Phys. Rev. Research
2
C. M.
Carmesin
Peter
Kling
E.
Giese
Roland
Sauerbrey
W. P.
Schleich
article
spec_mirror
Specular mirror interferometer
2020
4
4
https://doi.org/10.1016/bs.po.2019.11.006
A Tribute to Emil Wolf
Progress in Optics
65
F.
Di Pumpo
A.
Friedrich
E.
Giese
A.
Roura
H.
Lemmel
D.M.
Greenberger
E.M.
Rasel
W.P.
Schleich
article
Mukamel_2020
Roadmap on quantum light spectroscopy
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.
2020
3
16
10.1088/1361-6455/ab69a8
J. Phys. B: At. Mol. Opt. Phys.
53
S.
Mukamel
M.
Freyberger
W. P.
Schleich
M.
Bellini
R. W.
Boyd
L. L.
Sánchez-Soto
M.
Barbieri
A.
Paterova
L.
Krivitsky
K.
Dorfman
F.
Schlawin
V.
Sandoghdar
M.
Raymer
A.
Marcus
T.
Goodson
S.
Asban
M.
Scully
G.
Agarwal
T.
Peng
F.
Laussy
article
DiPumpo2019
Pointer-based model for state reduction in momentum space
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.
2019
Aug
06
1434-6079
10.1140/epjd/e2019-100226-1
The European Physical Journal D
73
163
8
https://doi.org/10.1140/epjd/e2019-100226-1
F.
Di Pumpo
M.
Freyberger
inproceedings
Atom interferometry and its applications
2019
10.3254/978-1-61499-937-9-345
Foundations of quantum theory
197
IOS Press
Amsterdam, Oxford, Tokyo, Washington DC
Proceedings of the International School of Physics "Enrico Fermi"
E. M. Rasel, W. P. Schleich and S. Wölk
345-392
S.
Abend
M.
Gersemann
C.
Schubert
D.
Schlippert
E. M.
Rasel
M.
Zimmermann
M. A.
Efremov
A.
Roura
F. A.
Narducci
W. P.
Schleich
article
Taking atom interferometric quantum sensors from the laboratory to real-world applications
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.
2019
2522-5820
Nature Reviews Physics
1
731--739
12
https://doi.org/10.1038/s42254-019-0117-4
Kai
Bongs
Michael
Holynski
Jamie
Vovrosh
Philippe
Bouyer
Gabriel
Condon
Ernst
Rasel
C.
Schubert
W. P.
Schleich
A.
Roura
article
PhysRevLett.122.124302
Amplitude and Phase of Wave Packets in a Linear Potential
2019
Mar
10.1103/PhysRevLett.122.124302
Phys. Rev. Lett.
122
American Physical Society
124302
https://link.aps.org/doi/10.1103/PhysRevLett.122.124302
G. G.
Rozenman
M.
Zimmermann
M. A.
Efremov
W. P.
Schleich
L.
Shemer
A.
Arie
article
PhysRevA.100.012709
Universality in a one-dimensional three-body system
2019
Jul
10.1103/PhysRevA.100.012709
Phys. Rev. A
100
American Physical Society
012709
https://link.aps.org/doi/10.1103/PhysRevA.100.012709
L.
Happ
M.
Zimmermann
S. I.
Betelu
W. P.
Schleich
M. A.
Efremov
article
PhysRevA.99.053823
High-gain quantum free-electron laser: Emergence and exponential gain
2019
May
10.1103/PhysRevA.99.053823
Phys. Rev. A
99
American Physical Society
053823
https://link.aps.org/doi/10.1103/PhysRevA.99.053823
P.
Kling
E.
Giese
C. M.
Carmesin
R.
Sauerbrey
W. P.
Schleich
article
Meister_2019
The space atom laser: an isotropic source for ultra-cold atoms in microgravity
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.
2019
jan
10.1088/1367-2630/aaf7b5
New Journal of Physics
21
{IOP} Publishing
013039
1
https://doi.org/10.1088%2F1367-2630%2Faaf7b5
M.
Meister
A.
Roura
E. M.
Rasel
W. P.
Schleich
article
Menzel:19
The photon: the role of its mode function in analyzing complementarity
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.
2019
Jun
10.1364/JOSAB.36.001668
J. Opt. Soc. Am. B
36
OSA
1668--1675
6
Electric fields; Numerical simulation; Phase matching; Phase shift; Photonic entanglement; Photons
http://josab.osa.org/abstract.cfm?URI=josab-36-6-1668
R.
Menzel
R.
Marx
D.
Puhlmann
A.
Heuer
W. P.
Schleich
inproceedings
The linearity of quantum mechanics and the birth of the Schrödinger equation
2019
10.3254/978-1-61499-937-9-47
Foundations of quantum theory
197
IOS Press
Amsterdam, Oxford, Tokyo, Washington DC
Proceedings of the International School of Physics "Enrico Fermi"
E. M. Rasel, W. P. Schleich and S. Wölk
47-79
M. O.
Scully
D. M.
Greenberger
D. H.
Kobe
W. P.
Schleich
inproceedings
Time after time: From EPR to Wigner’s friend and quantum eraser
2019
10.3254/978-1-61499-937-9-119
Foundations of quantum theory
197
IOS Press
Amsterdam, Oxford, Tokyo, Washington DC
Proceedings of the International School of Physics "Enrico Fermi"
E. M. Rasel, W. P. Schleich and S. Wölk
119-132
M. O.
Scully
D. M.
Greenberger
W. P.
Schleich
article
PhysRevLett.123.083601
T³ Stern-Gerlach Matter-Wave Interferometer
2019
Aug
10.1103/PhysRevLett.123.083601
Phys. Rev. Lett.
123
American Physical Society
083601
https://link.aps.org/doi/10.1103/PhysRevLett.123.083601
O.
Amit
Y.
Margalit
O.
Dobkowski
Z.
Zhou
Y.
Japha
M.
Zimmermann
M. A.
Efremov
F. A.
Narducci
E. M.
Rasel
W. P.
Schleich
R.
Folman
article
Zimmermann_2019
Representation-free description of atom interferometers in time-dependent linear potentials
2019
jul
10.1088/1367-2630/ab2e8c
New Journal of Physics
21
{IOP} Publishing
073031
7
https://doi.org/10.1088%2F1367-2630%2Fab2e8c
M.
Zimmermann
M. A.
Efremov
W.
Zeller
W. P.
Schleich
J. P.
Davis
F. A.
Narducci
article
PhysRevA.99.013627
Proper time in atom interferometers: Diffractive versus specular mirrors
2019
Jan
10.1103/PhysRevA.99.013627
Phys. Rev. A
99
American Physical Society
013627
https://link.aps.org/doi/10.1103/PhysRevA.99.013627
E.
Giese
A.
Friedrich
F.
Di Pumpo
A.
Roura
W. P.
Schleich
D. M.
Greenberger
E. M.
Rasel
inproceedings
Preface
2019
Foundations of quantum theory
197
IOS Press
Amsterdam, Oxford, Tokyo, Washington DC
Proceedings of the International School of Physics "Enrico Fermi"
E. M. Rasel, W. P. Schleich and S. Wölk
XV-XVIII
E. M.
Rasel
W. P.
Schleich
S.
Wölk
article
Lorianieaax8966
Interference of clocks: A quantum twin paradox
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.
2019
10.1126/sciadv.aax8966
Science Advances
5
American Association for the Advancement of Science
eaax8966
10
S.
Loriani
A.
Friedrich
C.
Ufrecht
F.
Di Pumpo
S.
Kleinert
S.
Abend
N.
Gaaloul
C.
Meiners
C.
Schubert
D.
Tell
É.
Wodey
M.
Zych
W.
Ertmer
A.
Roura
D.
Schlippert
W. P.
Schleich
E. M.
Rasel
E.
Giese
inbook
Nachruf auf Ina Rösing
2019
Jahrbuch 2018
Heidelberger Akademie der Wissenschaften
212-215
W. P.
Schleich
article
SAGE: A proposal for a space atomic gravity explorer
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.
2019
1434-6079
The European Physical Journal D
73
228
11
https://doi.org/10.1140/epjd/e2019-100324-6
Guglielmo M.
Tino
Angelo
Bassi
Giuseppe
Bianco
Kai
Bongs
Philippe
Bouyer
Luigi
Cacciapuoti
Salvatore
Capozziello
Xuzong
Chen
Maria L.
Chiofalo
Andrei
Derevianko
W.
Ertmer
N.
Gaaloul
Patrick
Gill
Peter W.
Graham
Jason M.
Hogan
Luciano
Iess
Mark A.
Kasevich
Hidetoshi
Katori
Carsten
Klempt
Xuanhui
Lu
Long-Sheng
Ma
H.
Müller
Nathan R.
Newbury
Chris W.
Oates
A.
Peters
Nicola
Poli
E. M.
Rasel
Gabriele
Rosi
A.
Roura
Christophe
Salomon
Stephan
Schiller
W. P.
Schleich
Dennis
Schlippert
Florian
Schreck
C.
Schubert
Fiodor
Sorrentino
Uwe
Sterr
Jan W.
Thomsen
Giuseppe
Vallone
Flavio
Vetrano
Paolo
Villoresi
Wolf
Klitzing
David
Wilkowski
Peter
Wolf
Jun
Ye
N.
Yu
Mingsheng
Zhan
article
Scully8131
Quantum optics approach to radiation from atoms falling into a black hole
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.
2018
0027-8424
10.1073/pnas.1807703115
Proceedings of the National Academy of Sciences
115
National Academy of Sciences
8131--8136
32
M. O.
Scully
S.
Fulling
D. M.
Lee
D. N.
Page
W. P.
Schleich
A. A.
Svidzinsky
article
Happ_2018
Sufficient condition for a quantum state to be genuinely quantum non-Gaussian
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.
2018
feb
10.1088/1367-2630/aaac25
New Journal of Physics
20
{IOP} Publishing
023046
2
https://doi.org/10.1088%2F1367-2630%2Faaac25
L.
Happ
M. A.
Efremov
H.
Nha
W. P.
Schleich
article
Becker2018
Space-borne Bose-Einstein condensation for precision interferometry
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.
2018
1476-4687
10.1038/s41586-018-0605-1
Nature
562
391-395
7727
https://doi.org/10.1038/s41586-018-0605-1
D.
Becker
M. D.
Lachmann
S. T.
Seidel
H.
Ahlers
A. N.
Dinkelaker
J.
Grosse
O.
Hellmig
H.
Müntinga
V.
Schkolnik
T.
Wendrich
A.
Wenzlawski
B.
Weps
R.
Corgier
T.
Franz
N.
Gaaloul
W.
Herr
D.
Lüdtke
M.
Popp
S.
Amri
H.
Duncker
M.
Erbe
A.
Kohfeldt
A.
Kubelka-Lange
C.
Braxmaier
E.
Charron
W.
Ertmer
M.
Krutzik
C.
Lämmerzahl
A.
Peters
W. P.
Schleich
K.
Sengstock
R.
Walser
A.
Wicht
P.
Windpassinger
E. M.
Rasel
article
doi:10.1080/09500340.2018.1454525
Light, the universe and everything – 12 Herculean tasks for quantum cowboys and black diamond skiers
2018
10.1080/09500340.2018.1454525
Journal of Modern Optics
65
Taylor & Francis
1261-1308
11
G.
Agarwal
R. E.
Allen
I.
Bezděková
R. W.
Boyd
G.
Chen
R.
Hanson
D. L.
Hawthorne
P.
Hemmer
M. B.
Kim
O.
Kocharovskaya
D. M.
Lee
S. K.
Lidström
S.
Lidström
H.
Losert
H.
Maier
J. W.
Neuberger
M. J.
Padgett
M.
Raizen
S.
Rajendran
E.
Rasel
W. P.
Schleich
M. O.
Scully
G.
Shchedrin
G.
Shvets
A. V.
Sokolov
A.
Svidzinsky
R. L.
Walsworth
R.
Weiss
F.
Wilczek
A. E.
Willner
E.
Yablonovitch
N.
Zheludev
article
Gleisberg_2018
Prime factorization of arbitrary integers with a logarithmic energy spectrum
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.
2018
jan
10.1088/1361-6455/aa9957
Journal of Physics B: Atomic, Molecular and Optical Physics
51
{IOP} Publishing
035009
3
https://doi.org/10.1088%2F1361-6455%2Faa9957
F.
Gleisberg
F.
Di Pumpo
G.
Wolff
W. P.
Schleich
article
doi:10.1080/09500340.2018.1511860
Gain in single and paired parametric oscillators
2018
10.1080/09500340.2018.1511860
Journal of Modern Optics
Taylor & Francis
1-8
R.
Nessler
H.
Eleuch
W. P.
Schleich
M. O.
Scully
article
Schleich_2018
Equivalent formulations of the Riemann hypothesis based on lines of constant phase
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).
2018
may
10.1088/1402-4896/aabca9
Physica Scripta
93
{IOP} Publishing
065201
6
https://doi.org/10.1088%2F1402-4896%2Faabca9
W. P.
Schleich
I.
Bezděková
M. B.
Kim
P. C.
Abbott
H.
Maier
H. L.
Montgomery
J. W.
Neuberger
article
Goncalves2017
Single-slit focusing and its representations
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.
2017
Mar
30
1432-0649
10.1007/s00340-017-6675-1
Applied Physics B
123
121
4
https://doi.org/10.1007/s00340-017-6675-1
M. R.
Gonçalves
W. B.
Case
A.
Arie
W. P.
Schleich
article
Zimmermann2017
T³-Interferometer for atoms
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.
2017
Mar
20
1432-0649
10.1007/s00340-017-6655-5
Applied Physics B
123
102
4
https://doi.org/10.1007/s00340-017-6655-5
M.
Zimmermann
M. A.
Efremov
A.
Roura
W. P.
Schleich
S. A.
DeSavage
J. P.
Davis
A.
Srinivasan
F. A.
Narducci
S. A.
Werner
E. M.
Rasel
article
Zum Gedenken an Georg Süßmann – Ein Leben für die Wissenschaft
2017
Physik Journal
16
8-9
W. P.
Schleich
article
doi:10.1002/prop.201600092
Working in phase-space with Wigner and Weyl
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.
2017
10.1002/prop.201600092
Fortschritte der Physik
65
1600092
6-8
Phase space quantum mechanics, Wigner Weyl distribution, Wigner Weyl symmetric ordering, Weyl and its inverse transform, operator symbol correspondence
https://onlinelibrary.wiley.com/doi/abs/10.1002/prop.201600092
J. S.
Ben-Benjamin
M. B.
Kim
W. P.
Schleich
W. B.
Case
L.
Cohen
article
doi:10.1002/prop.201700015
The beginning of time observed in quantum jumps
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.
2017
10.1002/prop.201700015
Fortschritte der Physik
65
1700015
6-8
https://onlinelibrary.wiley.com/doi/abs/10.1002/prop.201700015
A.
Bohm
P. W.
Bryant
H.
Uncu
S.
Wickramasekara
W. P.
Schleich
article
Ufrecht_2017
Comprehensive classification for Bose-Fermi mixtures
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.
2017
aug
10.1088/1367-2630/aa7814
New Journal of Physics
19
{IOP} Publishing
085001
8
https://doi.org/10.1088%2F1367-2630%2Faa7814
C.
Ufrecht
M.
Meister
A.
Roura
W. P.
Schleich
article
PhysRevA.96.013827
Hidden PT symmetry and quantization of a coupled-oscillator model of quantum amplification by superradiant emission of radiation
2017
Jul
10.1103/PhysRevA.96.013827
Phys. Rev. A
96
American Physical Society
013827
https://link.aps.org/doi/10.1103/PhysRevA.96.013827
L.
Zhang
G. S.
Agarwal
W. P.
Schleich
M. O.
Scully
article
Kim_2017
A perfect memory makes the continuous Newton method look ahead
Hauser and Nedić (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.
2017
jul
10.1088/1402-4896/aa7ae3
Physica Scripta
92
{IOP} Publishing
085201
8
https://doi.org/10.1088%2F1402-4896%2Faa7ae3
M. B.
Kim
J. W.
Neuberger
W. P.
Schleich
incollection
MEISTER2017375
Chapter Six - Efficient Description of Bose–Einstein Condensates in Time-Dependent Rotating Traps
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.
2017
1049-250X
https://doi.org/10.1016/bs.aamop.2017.03.006
66
Academic Press
Advances In Atomic, Molecular, and Optical Physics
Ennio Arimondo and Chun C. Lin and Susanne F. Yelin
375 - 438
Bose–Einstein condensate, Gross–Pitaevskii equation, Thomas–Fermi approximation, Scaling approach, Time-dependent rotating trap, Numerical simulation, Hamiltonian formalism, Integrated density distribution
http://www.sciencedirect.com/science/article/pii/S1049250X17300174
M.
Meister
St.
Arnold
D.
Moll
M.
Eckart
E.
Kajari
M. A.
Efremov
R.
Walser
W. P.
Schleich
article
PhysRevLett.118.154301
Diffractive Focusing of Waves in Time and in Space
2017
Apr
10.1103/PhysRevLett.118.154301
Phys. Rev. Lett.
118
American Physical Society
154301
https://link.aps.org/doi/10.1103/PhysRevLett.118.154301
D.
Weisman
S.
Fu
M.
Goncalves
L.
Shemer
J.
Zhou
W. P.
Schleich
A.
Arie
article
Kling2016
Quantum regime of a free-electron laser: relativistic approach
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.
2016
Dec
15
1432-0649
10.1007/s00340-016-6571-0
Applied Physics B
123
9
1
https://doi.org/10.1007/s00340-016-6571-0
P.
Kling
R.
Sauerbrey
P.
Preiss
E.
Giese
R.
Endrich
W. P.
Schleich
article
PhysRevLett.117.203003
Atom-Chip Fountain Gravimeter
2016
Nov
10.1103/PhysRevLett.117.203003
Phys. Rev. Lett.
117
American Physical Society
203003
https://link.aps.org/doi/10.1103/PhysRevLett.117.203003
S.
Abend
M.
Gebbe
M.
Gersemann
H.
Ahlers
H.
Müntinga
E.
Giese
N.
Gaaloul
C.
Schubert
C.
Lämmerzahl
W.
Ertmer
W. P.
Schleich
E. M.
Rasel
article
PhysRevLett.116.173601
Double Bragg Interferometry
2016
Apr
10.1103/PhysRevLett.116.173601
Phys. Rev. Lett.
116
American Physical Society
173601
https://link.aps.org/doi/10.1103/PhysRevLett.116.173601
H.
Ahlers
H.
Müntinga
A.
Wenzlawski
M.
Krutzik
G.
Tackmann
S.
Abend
N.
Gaaloul
E.
Giese
A.
Roura
R.
Kuhl
C.
Lämmerzahl
A.
Peters
P.
Windpassinger
K.
Sengstock
W. P.
Schleich
W.
Ertmer
E. M.
Rasel
article
PhysRevA.94.063619
Light shifts in atomic Bragg diffraction
2016
Dec
10.1103/PhysRevA.94.063619
Phys. Rev. A
94
American Physical Society
063619
https://link.aps.org/doi/10.1103/PhysRevA.94.063619
E.
Giese
A.
Friedrich
S.
Abend
E. M.
Rasel
W. P.
Schleich
article
Kaltenbaek2016
Macroscopic Quantum Resonators (MAQRO): 2015 update
Do the laws of quantum physics still hold for macroscopic objects?- this is at the heart of Schrödinger'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.
2016
2196-0763
10.1140/epjqt/s40507-016-0043-7
EPJ Quantum Technology
3
5
1
https://doi.org/10.1140/epjqt/s40507-016-0043-7
R.
Kaltenbaek
M.
Aspelmeyer
P. F.
Barker
A.
Bassi
J.
Bateman
K.
Bongs
S.
Bose
C.
Braxmaier
C.
Brukner
B.
Christophe
M.
Chwalla
P.-F.
Cohadon
A. M.
Cruise
C.
Curceanu
K.
Dholakia
L.
Diósi
K.
Döringshoff
W.
Ertmer
J.
Gieseler
N.
Gürlebeck
G.
Hechenblaikner
A.
Heidmann
S.
Herrmann
S.
Hossenfelder
U.
Johann
N.
Kiesel
M.
Kim
C.
Lämmerzahl
A.
Lambrecht
M.
Mazilu
G. J.
Milburn
H.
Müller
L.
Novotny
M.
Paternostro
A.
Peters
I.
Pikovski
A.
Pilan Zanoni
E. M.
Rasel
S.
Reynaud
C. J.
Riedel
M.
Rodrigues
L.
Rondin
A.
Roura
W. P.
Schleich
J.
Schmiedmayer
T.
Schuldt
K. C.
Schwab
M.
Tajmar
G. M.
Tino
H.
Ulbricht
R.
Ursin
V.
Vedral
inbook
Schleich2016
Wave-Particle Dualism in Action
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.
2016
978-3-319-31903-2
10.1007/978-3-319-31903-2_19
Springer International Publishing
Cham
M. D. Al-Amri, M. El-Gomati and M. S. Zubairy
483--504
https://doi.org/10.1007/978-3-319-31903-2_19
W. P.
Schleich
article
KLEINERT20151
Representation-free description of light-pulse atom interferometry including non-inertial effects
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.
2015
0370-1573
https://doi.org/10.1016/j.physrep.2015.09.004
Physics Reports
605
1 - 50
Atom interferometry, Quantum optics
http://www.sciencedirect.com/science/article/pii/S0370157315003968
Representation-free description of light-pulse atom interferometry including non-inertial effects
S.
Kleinert
E.
Kajari
A.
Roura
W. P.
Schleich
article
Kling_2015
What defines the quantum regime of the free-electron laser?
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.
2015
dec
10.1088/1367-2630/17/12/123019
New Journal of Physics
17
{IOP} Publishing
123019
12
https://doi.org/10.1088%2F1367-2630%2F17%2F12%2F123019
P.
Kling
E.
Giese
R.
Endrich
P.
Preiss
R.
Sauerbrey
W. P.
Schleich
article
Paul_2015
The Stefan-Boltzmann law: two classical laws give a quantum one
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.
2015
oct
10.1088/0031-8949/2015/t165/014027
Physica Scripta
T165
{IOP} Publishing
014027
https://doi.org/10.1088%2F0031-8949%2F2015%2Ft165%2F014027
H.
Paul
D. M.
Greenberger
S. T.
Stenholm
W. P.
Schleich
article
D_m_t_r_2015
Scattering of a particle with internal structure from a single slit: exact numerical solutions
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 ‘dressed’ 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.
2015
feb
10.1088/1367-2630/17/2/023044
New Journal of Physics
17
{IOP} Publishing
023044
2
https://doi.org/10.1088%2F1367-2630%2F17%2F2%2F023044
P.
Dömötör
P.
Földi
M. G.
Benedict
B. W.
Shore
W. P.
Schleich
article
Shore_2015
Scattering of a particle with internal structure from a single slit
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.
2015
jan
10.1088/1367-2630/17/1/013046
New Journal of Physics
17
{IOP} Publishing
013046
1
https://doi.org/10.1088%2F1367-2630%2F17%2F1%2F013046
B. W.
Shore
P.
Dömötör
E.
Sadurní
G.
Süßmann
W. P.
Schleich
article
Neuberger_2015
The Riemann hypothesis illuminated by the Newton flow of ζ*
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.
2015
oct
10.1088/0031-8949/90/10/108015
Physica Scripta
90
{IOP} Publishing
108015
10
https://doi.org/10.1088%2F0031-8949%2F90%2F10%2F108015
J. W.
Neuberger
C.
Feiler
H.
Maier
W. P.
Schleich
report
Perspektiven der Quantentechnologien
2015
978-3-8047-3343-5
Perspektiven der Quantentechnologien
Nationale Akademie der Wissenschaften Leopoldina, acatech - Deutsche Akademie der Technikwissenschaften, Union der deutschen Akademien der Wissenschaften
Halle (Saale)
64
article
GLEISBERG20152556
Factorization with a logarithmic energy spectrum of a two-dimensional potential
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.
2015
0375-9601
https://doi.org/10.1016/j.physleta.2015.05.038
Physics Letters A
379
2556 - 2560
40
Number theory, Trapped particle, Factorization protocol
http://www.sciencedirect.com/science/article/pii/S0375960115005137
F.
Gleisberg
M.
Volpp
W. P.
Schleich
article
Feiler_2015
Dirichlet series as interfering probability amplitudes for quantum measurements
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 Schrödinger cat.
2015
jun
10.1088/1367-2630/17/6/063040
New Journal of Physics
17
{IOP} Publishing
063040
6
https://doi.org/10.1088%2F1367-2630%2F17%2F6%2F063040
C.
Feiler
W. P.
Schleich
article
Leuchs_2015
Dimension of quantum phase space measured by photon correlations
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.
2015
jun
10.1088/0031-8949/90/7/074066
Physica Scripta
90
{IOP} Publishing
074066
7
https://doi.org/10.1088%2F0031-8949%2F90%2F7%2F074066
G.
Leuchs
R. J.
Glauber
W. P.
Schleich
article
PhysRevLett.114.063002
Composite-Light-Pulse Technique for High-Precision Atom Interferometry
2015
Feb
10.1103/PhysRevLett.114.063002
Phys. Rev. Lett.
114
American Physical Society
063002
https://link.aps.org/doi/10.1103/PhysRevLett.114.063002
P.
Berg
S.
Abend
G.
Tackmann
C.
Schubert
E.
Giese
W. P.
Schleich
F. A.
Narducci
W.
Ertmer
E. M.
Rasel
article
Schleich_2015
A wave equation interpolating between classical and quantum mechanics
We derive a ‘master’ 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 Schrödinger equation. In this case the amplitude satisfies a Schrödinger 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.
2015
sep
10.1088/0031-8949/90/10/108009
Physica Scripta
90
{IOP} Publishing
108009
10
https://doi.org/10.1088%2F0031-8949%2F90%2F10%2F108009
W. P.
Schleich
D. M.
Greenberger
D. H.
Kobe
M. O.
Scully
article
Leuchs_2015
Intensity-intensity correlations determined by dimension of quantum state in phase space: P-distribution
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 ‘negative’ dimensions.
2015
sep
10.1088/0031-8949/90/10/108007
Physica Scripta
90
{IOP} Publishing
108007
10
https://doi.org/10.1088%2F0031-8949%2F90%2F10%2F108007
G.
Leuchs
R. J.
Glauber
W. P.
Schleich
article
PhysRevLett.112.203002
Quantum Test of the Universality of Free Fall
2014
May
10.1103/PhysRevLett.112.203002
Phys. Rev. Lett.
112
American Physical Society
203002
https://link.aps.org/doi/10.1103/PhysRevLett.112.203002
D.
Schlippert
J.
Hartwig
H.
Albers
L. L.
Richardson
C.
Schubert
A.
Roura
W. P.
Schleich
W.
Ertmer
E. M.
Rasel
article
Viewpoint: Neutrons knock at the cosmic door
2014
Physics
7
39
W. P.
Schleich
E.
Rasel
inproceedings
The interface of gravity and quantum mechanics illuminated by Wigner phase space
2014
10.3254/978-1-61499-448-0-171
Atom Interferometry
188
IOS Press
Amsterdam, Oxford, Tokyo, Washington DC
Proceedings of the International School of Physics "Enrico Fermi"
G. M. Tino and M. A. Kasevich
171-236
E.
Giese
W.
Zeller
S.
Kleinert
M.
Meister
V.
Tamma
A.
Roura
W. P.
Schleich
article
Aguilera_2014
STE-QUEST—test of the universality of free fall using cold atom interferometry
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 Eötvös 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.
2014
may
10.1088/0264-9381/31/11/115010
Classical and Quantum Gravity
31
{IOP} Publishing
115010
11
https://doi.org/10.1088%2F0264-9381%2F31%2F11%2F115010
D. N.
Aguilera
H.
Ahlers
B.
Battelier
A.
Bawamia
A.
Bertoldi
R.
Bondarescu
K.
Bongs
P.
Bouyer
C.
Braxmaier
L.
Cacciapuoti
C.
Chaloner
M.
Chwalla
W.
Ertmer
M.
Franz
N.
Gaaloul
M.
Gehler
D.
Gerardi
L.
Gesa
N.
Gürlebeck
J.
Hartwig
M.
Hauth
O.
Hellmig
W.
Herr
S.
Herrmann
A.
Heske
A.
Hinton
P.
Ireland
P.
Jetzer
U.
Johann
M.
Krutzik
A.
Kubelka
C.
Lämmerzahl
A.
Landragin
I.
Lloro
D.
Massonnet
I.
Mateos
A.
Milke
M.
Nofrarias
M.
Oswald
A.
Peters
K.
Posso-Trujillo
E.
Rasel
E.
Rocco
A.
Roura
J.
Rudolph
W.
Schleich
C.
Schubert
T.
Schuldt
S.
Seidel
K.
Sengstock
C. F.
Sopuerta
F.
Sorrentino
D.
Summers
G. M.
Tino
C.
Trenkel
N.
Uzunoglu
W.
Klitzing
R.
Walser
T.
Wendrich
A.
Wenzlawski
P.
Weßels
A.
Wicht
E.
Wille
M.
Williams
P.
Windpassinger
N.
Zahzam
inproceedings
Quantum FEL II: Many-electron theory
2014
Proceedings of FEL 2014
Basel
348-352
P.
Kling
R.
Endrich
E.
Giese
R.
Sauerbrey
W. P.
Schleich
inproceedings
Quantum FEL I: Multi-mode theory
2014
Proceedings of FEL 2014
Basel
353-357
R.
Endrich
E.
Giese
P.
Kling
R.
Sauerbrey
W. P.
Schleich
article
Roura_2014
Overcoming loss of contrast in atom interferometry due to gravity gradients
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.
2014
dec
10.1088/1367-2630/16/12/123012
New Journal of Physics
16
{IOP} Publishing
123012
12
https://doi.org/10.1088%2F1367-2630%2F16%2F12%2F123012
A.
Roura
W.
Zeller
W. P.
Schleich
article
Neuberger_2014
Newton flow of the Riemann zeta function: separatrices control the appearance of zeros
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.
2014
oct
10.1088/1367-2630/16/10/103023
New Journal of Physics
16
{IOP} Publishing
103023
10
https://doi.org/10.1088%2F1367-2630%2F16%2F10%2F103023
J. W.
Neuberger
C.
Feiler
H.
Maier
W. P.
Schleich
article
PhysRevA.88.043623
Immersing carbon nanotubes in cold atomic gases
2013
Oct
10.1103/PhysRevA.88.043623
Phys. Rev. A
88
American Physical Society
043623
https://link.aps.org/doi/10.1103/PhysRevA.88.043623
C. T.
Weiß
P. V.
Mironova
J.
Fortágh
W. P.
Schleich
R.
Walser
article
Buser_2013
Visualization of the Gödel universe
The standard model of modern cosmology, which is based on the Friedmann–Lemaître–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 Gödel, 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 Gödel'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 Gödel's model.
2013
jan
10.1088/1367-2630/15/1/013063
New Journal of Physics
15
{IOP} Publishing
013063
1
https://doi.org/10.1088%2F1367-2630%2F15%2F1%2F013063
M.
Buser
E.
Kajari
W. P.
Schleich
article
PhysRevLett.111.113201
Three-Body Bound States in Atomic Mixtures With Resonant p-Wave Interaction
2013
Sep
10.1103/PhysRevLett.111.113201
Phys. Rev. Lett.
111
American Physical Society
113201
https://link.aps.org/doi/10.1103/PhysRevLett.111.113201
M. A.
Efremov
L.
Plimak
M. Yu.
Ivanov
W. P.
Schleich
inproceedings
Theory of the quantum FEL in a nutshell
2013
Proceedings of FEL 2013, Nara, Japan
JACoW
T. Tanaka and V. R. W. Schaa
P.
Preiss
R.
Sauerbrey
M. S.
Zubairy
R.
Endrich
E.
Giese
P.
Kling
M.
Knobl
W. P.
Schleich
article
Schleich5374
Schrödinger equation revisited
The time-dependent Schrödinger 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 Schrödinger 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.
2013
0027-8424
10.1073/pnas.1302475110
Proceedings of the National Academy of Sciences
110
National Academy of Sciences
5374--5379
14
W. P.
Schleich
D. M.
Greenberger
D. H.
Kobe
M. O.
Scully
article
PhysRevLett.110.010401
Redshift Controversy in Atom Interferometry: Representation Dependence of the Origin of Phase Shift
2013
Jan
10.1103/PhysRevLett.110.010401
Phys. Rev. Lett.
110
American Physical Society
010401
https://link.aps.org/doi/10.1103/PhysRevLett.110.010401
W. P.
Schleich
D. M.
Greenberger
E. M.
Rasel
article
PhysRevA.87.014102
Reconstruction of Bohm trajectories and wave functions from interferometric measurements
2013
Jan
10.1103/PhysRevA.87.014102
Phys. Rev. A
87
American Physical Society
014102
https://link.aps.org/doi/10.1103/PhysRevA.87.014102
W. P.
Schleich
M.
Freyberger
M. S.
Zubairy
article
Kazemi_2013
Quantum carpets: a tool to observe decoherence
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.
2013
jan
10.1088/1367-2630/15/1/013052
New Journal of Physics
15
{IOP} Publishing
013052
1
https://doi.org/10.1088%2F1367-2630%2F15%2F1%2F013052
P.
Kazemi
S.
Chaturvedi
I.
Marzoli
R. F.
O'Connell
W. P.
Schleich
article
PhysRevLett.110.093602
Interferometry with Bose-Einstein Condensates in Microgravity
2013
Feb
10.1103/PhysRevLett.110.093602
Phys. Rev. Lett.
110
American Physical Society
093602
https://link.aps.org/doi/10.1103/PhysRevLett.110.093602
H.
Müntinga
H.
Ahlers
M.
Krutzik
A.
Wenzlawski
S.
Arnold
D.
Becker
K.
Bongs
H.
Dittus
H.
Duncker
N.
Gaaloul
C.
Gherasim
E.
Giese
C.
Grzeschik
T. W.
Hänsch
O.
Hellmig
W.
Herr
S.
Herrmann
E.
Kajari
S.
Kleinert
C.
Lämmerzahl
W.
Lewoczko-Adamczyk
J.
Malcolm
N.
Meyer
R.
Nolte
A.
Peters
M.
Popp
J.
Reichel
A.
Roura
J.
Rudolph
M.
Schiemangk
M.
Schneider
S. T.
Seidel
K.
Sengstock
V.
Tamma
T.
Valenzuela
A.
Vogel
R.
Walser
T.
Wendrich
P.
Windpassinger
W.
Zeller
T.
Zoest
W.
Ertmer
W. P.
Schleich
E. M.
Rasel
article
HEIM20131822
Tunneling of an energy eigenstate through a parabolic barrier viewed from Wigner phase space
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.
2013
0375-9601
10.1016/j.physleta.2013.05.017
Physics Letters A
377
1822 - 1825
31
Tunneling, Inverted oscillator, Wigner function
http://www.sciencedirect.com/science/article/pii/S0375960113004878
D. M.
Heim
W. P.
Schleich
P. M.
Alsing
J. P.
Dahl
S.
Varro
article
Gleisberg_2013
Factorization with a logarithmic energy spectrum
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.
2013
feb
10.1088/1367-2630/15/2/023037
New Journal of Physics
15
{IOP} Publishing
023037
2
https://doi.org/10.1088%2F1367-2630%2F15%2F2%2F023037
F.
Gleisberg
R.
Mack
K.
Vogel
W. P.
Schleich
article
PhysRevA.87.021602
Emergence of atomic semifluxons in optical Josephson junctions
2013
Feb
10.1103/PhysRevA.87.021602
Phys. Rev. A
87
American Physical Society
021602
https://link.aps.org/doi/10.1103/PhysRevA.87.021602
M.
Grupp
W. P.
Schleich
E.
Goldobin
D.
Koelle
R.
Kleiner
R.
Walser
article
PhysRevA.88.053608
Double Bragg diffraction: A tool for atom optics
2013
Nov
10.1103/PhysRevA.88.053608
Phys. Rev. A
88
American Physical Society
053608
https://link.aps.org/doi/10.1103/PhysRevA.88.053608
E.
Giese
A.
Roura
G.
Tackmann
E. M.
Rasel
W. P.
Schleich
article
PhysRevE.87.042912
Bound states in sharply bent waveguides: Analytical and experimental approach
2013
Apr
10.1103/PhysRevE.87.042912
Phys. Rev. E
87
American Physical Society
042912
https://link.aps.org/doi/10.1103/PhysRevE.87.042912
S.
Bittner
B.
Dietz
M.
Miski-Oglu
A.
Richter
C.
Ripp
E.
Sadurní
W. P.
Schleich
article
PhysRevA.87.013627
Berry phase in atom optics
2013
Jan
10.1103/PhysRevA.87.013627
Phys. Rev. A
87
American Physical Society
013627
https://link.aps.org/doi/10.1103/PhysRevA.87.013627
P. V.
Mironova
M. A.
Efremov
W. P.
Schleich
article
PhysRevA.87.023405
Atom lithography with subwavelength resolution via Rabi oscillations
2013
Feb
10.1103/PhysRevA.87.023405
Phys. Rev. A
87
American Physical Society
023405
https://link.aps.org/doi/10.1103/PhysRevA.87.023405
Z.
Liao
M.
Al-Amri
Th.
Becker
W. P.
Schleich
M. O.
Scully
M. S.
Zubairy
article
PhysRevA.87.023604
Atom lens without chromatic aberrations
2013
Feb
10.1103/PhysRevA.87.023604
Phys. Rev. A
87
American Physical Society
023604
https://link.aps.org/doi/10.1103/PhysRevA.87.023604
M. A.
Efremov
P. V.
Mironova
W. P.
Schleich
article
doi:10.1080/09500340.2012.746400
A two-photon double-slit experiment
2013
10.1080/09500340.2012.746400
Journal of Modern Optics
60
Taylor & Francis
86-94
1
R.
Menzel
A.
Heuer
D.
Puhlmann
K.
Dechoum
M.
Hillery
M. J. A.
Spähn
W. P.
Schleich
article
Schleich_2013
A representation-free description of the Kasevich-Chu interferometer: a resolution of the redshift controversy
Motivated by a recent claim by Müller 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.
2013
jan
10.1088/1367-2630/15/1/013007
New Journal of Physics
15
{IOP} Publishing
013007
1
https://doi.org/10.1088%2F1367-2630%2F15%2F1%2F013007
W. P.
Schleich
D. M.
Greenberger
E. M.
Rasel
article
Heim_2013
A tunable macroscopic quantum system based on two fractional vortices
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.
2013
may
10.1088/1367-2630/15/5/053020
New Journal of Physics
15
{IOP} Publishing
053020
5
https://doi.org/10.1088%2F1367-2630%2F15%2F5%2F053020
D. M.
Heim
K.
Vogel
W. P.
Schleich
D.
Koelle
R.
Kleiner
E.
Goldobin
article
Feiler_2013
Entanglement and analytical continuation: an intimate relation told by the Riemann zeta function
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 Schrödinger 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.
2013
jun
10.1088/1367-2630/15/6/063009
New Journal of Physics
15
{IOP} Publishing
063009
6
https://doi.org/10.1088%2F1367-2630%2F15%2F6%2F063009
C.
Feiler
W. P.
Schleich
article
PhysRevA.86.063622
Relativistic effects in atom and neutron interferometry and the differences between them
2012
Dec
10.1103/PhysRevA.86.063622
Phys. Rev. A
86
American Physical Society
063622
https://link.aps.org/doi/10.1103/PhysRevA.86.063622
D. M.
Greenberger
W. P.
Schleich
E. M.
Rasel
article
Menzel9314
Wave-particle dualism and complementarity unraveled by a different mode
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.
2012
0027-8424
10.1073/pnas.1201271109
Proceedings of the National Academy of Sciences
109
National Academy of Sciences
9314--9319
24
R.
Menzel
D.
Puhlmann
A.
Heuer
W. P.
Schleich
inbook
Woelk2012
Quantum Carpets: Factorization with Degeneracies
In this paper, we connect our approach of factoring numbers using the continuous truncated Gauss sum (W{"o}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.
2012
978-1-4419-6624-7
10.1007/978-1-4419-6624-7_18
Springer US
Boston, MA
L. Cohen, H. V. Poor and M. O. Scully
259--269
https://doi.org/10.1007/978-1-4419-6624-7_18
S.
Wölk
W. P.
Schleich
article
Tamma2012
Prime Number Decomposition, the Hyperbolic Function and Multi-Path Michelson Interferometers
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.
2012
Jan
01
1572-9516
10.1007/s10701-010-9522-3
Foundations of Physics
42
111--121
1
https://doi.org/10.1007/s10701-010-9522-3
V.
Tamma
C. O.
Alley
W. P.
Schleich
Y. H.
Shih
article
Plimak_2012
Operator ordering and causality
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.
2012
feb
10.1088/0031-8949/2012/t147/014026
Physica Scripta
T147
{IOP} Publishing
014026
https://doi.org/10.1088%2F0031-8949%2F2012%2Ft147%2F014026
L. I.
Plimak
S. T.
Stenholm
W. P.
Schleich
article
W_lk_2012
Factorization of numbers with Gauss sums: III. Algorithms with entanglement
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.
2012
jan
10.1088/1367-2630/14/1/013049
New Journal of Physics
14
{IOP} Publishing
013049
1
https://doi.org/10.1088%2F1367-2630%2F14%2F1%2F013049
S.
Wölk
W. P.
Schleich
article
Case:12
A diffractive mechanism of focusing
We examine the free time evolution of a rectangular one dimensional Schr\"{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.
2012
Dec
10.1364/OE.20.027253
Opt. Express
20
OSA
27253--27262
25
Diffraction; Diffraction theory; Diffraction limit; Evanescent waves; Light fields; Phase space analysis methods; Ptychography; Talbot effect
http://www.opticsexpress.org/abstract.cfm?URI=oe-20-25-27253
W. B.
Case
E.
Sadurní
W. P.
Schleich
article
Rudolph2011
Degenerate Quantum Gases in Microgravity
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.
2011
Jun
01
1875-0494
10.1007/s12217-010-9247-0
Microgravity Science and Technology
23
287--292
3
https://doi.org/10.1007/s12217-010-9247-0
J.
Rudolph
N.
Gaaloul
Y.
Singh
H.
Ahlers
W.
Herr
T. A.
Schulze
S. T.
Seidel
C.
Rode
V.
Schkolnik
W.
Ertmer
E. M.
Rasel
H.
Müntinga
T.
Könemann
A.
Resch
S.
Herrmann
C.
Lämmerzahl
T.
Zoest
H.
Dittus
A.
Vogel
A.
Wenzlawski
K.
Sengstock
N.
Meyer
K.
Bongs
M.
Krutzik
W.
Lewoczko-Adamczyk
M.
Schiemangk
A.
Peters
M.
Eckart
E.
Kajari
S.
Arnold
G.
Nandi
W. P.
Schleich
R.
Walser
T.
Steinmetz
T. W.
Hänsch
J.
Reichel
article
PhysRevA.83.020304
Factoring numbers with a single interferogram
2011
Feb
10.1103/PhysRevA.83.020304
Phys. Rev. A
83
American Physical Society
020304
https://link.aps.org/doi/10.1103/PhysRevA.83.020304
V.
Tamma
H.
Zhang
X.
He
A.
Garuccio
W. P.
Schleich
Y.
Shih
article
W_lk_2011
Factorization of numbers with Gauss sums: I. Mathematical background
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.
2011
oct
10.1088/1367-2630/13/10/103007
New Journal of Physics
13
{IOP} Publishing
103007
10
https://doi.org/10.1088%2F1367-2630%2F13%2F10%2F103007
S.
Wölk
W.
Merkel
W. P.
Schleich
I. Sh.
Averbukh
B.
Girard
article
Merkel_2011
Factorization of numbers with Gauss sums: II. Suggestions for implementation with chirped laser pulses
We propose three implementations of the Gauss sum factorization schemes discussed in part I of this series (Wölk 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.
2011
oct
10.1088/1367-2630/13/10/103008
New Journal of Physics
13
{IOP} Publishing
103008
10
https://doi.org/10.1088%2F1367-2630%2F13%2F10%2F103008
W.
Merkel
S.
Wölk
W. P.
Schleich
I. Sh.
Averbukh
B.
Girard
G. G.
Paulus
inproceedings
Wolk:11
Quantum Mechanics Meets Number Theory
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.
2011
10.1364/ICQI.2011.QMC1
International Conference on Quantum Information
International Conference on Quantum Information
Optical Society of America
QMC1
Quantum optics; Quantum information and processing ; Beam splitters; Bose Einstein condensates; Cavity quantum electrodynamics; Cold atoms; Destructive interference; Quantum electronics
http://www.osapublishing.org/abstract.cfm?URI=ICQI-2011-QMC1
S.
Wölk
C.
Feiler
W. P.
Schleich
article
PhysRevA.83.051602
Quantum-noise quenching in atomic tweezers
2011
May
10.1103/PhysRevA.83.051602
Phys. Rev. A
83
American Physical Society
051602
https://link.aps.org/doi/10.1103/PhysRevA.83.051602
S.
Zippilli
B.
Mohring
E.
Lutz
G.
Morigi
W.
Schleich
article
Sorrentino_2011
The Space Atom Interferometer project: status and prospects
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.
2011
dec
10.1088/1742-6596/327/1/012050
Journal of Physics: Conference Series
327
{IOP} Publishing
012050
https://doi.org/10.1088%2F1742-6596%2F327%2F1%2F012050
F.
Sorrentino
K.
Bongs
P.
Bouyer
L.
Cacciapuoti
M.
Angelis
H.
Dittus
W.
Ertmer
J.
Hartwig
M.
Hauth
S.
Herrmann
K.
Huang
M.
Inguscio
E.
Kajari
T.
Könemann
C.
Lämmerzahl
A.
Landragin
G.
Modugno
F. Pereira
Santos
A.
Peters
M.
Prevedelli
E. M.
Rasel
W. P.
Schleich
M.
Schmidt
A.
Senger
K.
Sengstock
G.
Stern
G. M.
Tino
T.
Valenzuela
R.
Walser
P.
Windpassinger
article
Schmidt_Kaler_2010
Focus on Atom Optics and its Applications
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 Guéry-Odelin
Analysis of the entanglement between two individual atoms using global Raman rotations
A Gaëtan, 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 Hänsch 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 Jörg Schmiedmayer
Storage of protonated water clusters in a biplanar multipole rf trap
C Greve, M Kröner, S Trippel, P Woias, R Wester and M Weidemüller
Single-atom detection on a chip: from realization to application
A Stibor, H Bender, S Kühnhold, J Fortágh, C Zimmermann and A Günther
Ultracold atoms as a target: absolute scattering cross-section measurements
P Würtz, T Gericke, A Vogler and H Ott
Entanglement-assisted atomic clock beyond the projection noise limit
Anne Louchet-Chauvet, Jürgen 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 Nägerl
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 Förster, Jai-Min Choi, Andreas Steffen, Noomen Belmechri, Wolfgang Alt, Dieter Meschede and Artur Widera
Frequency stability of optical lattice clocks
Jérôme Lodewyck, Philip G Westergaard, Arnaud Lecallier, Luca Lorini and Pierre Lemonde
Ultracold quantum gases in triangular optical lattices
C Becker, P Soltan-Panahi, J Kronjäger, S Dörscher, 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 Fortágh
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
2010
jun
10.1088/1367-2630/12/6/065014
New Journal of Physics
12
{IOP} Publishing
065014
6
https://doi.org/10.1088%2F1367-2630%2F12%2F6%2F065014
T.
Pfau
P.
Schmelcher
W.
Schleich
article
SCHLEICH2010786
Wigner function for a free particle in two dimensions: A tale of interference
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.
2010
0030-4018
https://doi.org/10.1016/j.optcom.2009.10.055
Optics Communications
283
786 - 789
5
http://www.sciencedirect.com/science/article/pii/S0030401809010475
Quo vadis Quantum Optics?
W. P.
Schleich
J. P.
Dahl
S.
Varro
article
PhysRevA.82.032119
Riemann ζ function from wave-packet dynamics
2010
Sep
10.1103/PhysRevA.82.032119
Phys. Rev. A
82
American Physical Society
032119
https://link.aps.org/doi/10.1103/PhysRevA.82.032119
R.
Mack
J. P.
Dahl
H.
Moya-Cessa
W. T.
Strunz
R.
Walser
W. P.
Schleich
article
VOGEL2010133
Optimally focusing wave packets
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.
2010
0301-0104
https://doi.org/10.1016/j.chemphys.2010.07.002
Chemical Physics
375
133 - 143
2
Focusing wave packets, Wigner function
http://www.sciencedirect.com/science/article/pii/S0301010410003137
Stochastic processes in Physics and Chemistry (in honor of Peter Hänggi)
K.
Vogel
F.
Gleisberg
N. L.
Harshman
P.
Kazemi
R.
Mack
L.
Plimak
W. P.
Schleich
article
Kajari2010
Inertial and gravitational mass in quantum mechanics
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.
2010
Jul
01
1432-0649
10.1007/s00340-010-4085-8
Applied Physics B
100
43--60
1
https://doi.org/10.1007/s00340-010-4085-8
E.
Kajari
N. L.
Harshman
E. M.
Rasel
S.
Stenholm
G.
Süßmann
W. P.
Schleich
article
doi:10.1063/1.3537857
Conformal mapping and bound states in bent waveguides
2010
10.1063/1.3537857
AIP Conference Proceedings
1323
283-295
1
E.
Sadurní
W. P.
Schleich
article
Glauber_2010
Field fluctuations measured by interferometry
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.
2010
sep
10.1088/0031-8949/2010/t140/014002
Physica Scripta
T140
{IOP} Publishing
014002
https://doi.org/10.1088%2F0031-8949%2F2010%2Ft140%2F014002
R. J.
Glauber
L. A.
Orozco
K.
Vogel
W. P.
Schleich
H.
Walther
article
doi:10.1080/09500340.2010.486873
Correlations in phase space and the creation of focusing wave packets
2010
10.1080/09500340.2010.486873
Journal of Modern Optics
57
Taylor & Francis
1437-1444
14-15
R.
Mack
V. P.
Yakovlev
W. P.
Schleich
article
Sorrentino2010
A Compact Atom Interferometer for Future Space Missions
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.
2010
Oct
01
1875-0494
10.1007/s12217-010-9240-7
Microgravity Science and Technology
22
551--561
4
https://doi.org/10.1007/s12217-010-9240-7
F.
Sorrentino
K.
Bongs
Ph.
Bouyer
L.
Cacciapuoti
M.
Angelis
H.
Dittus
W.
Ertmer
A.
Giorgini
J.
Hartwig
M.
Hauth
S.
Herrmann
M.
Inguscio
E.
Kajari
T. T.
Könemann
C.
Lämmerzahl
A.
Landragin
G.
Modugno
F.
Santos
A.
Peters
M.
Prevedelli
E. M.
Rasel
W. P.
Schleich
M.
Schmidt
A.
Senger
K.
Sengstock
G.
Stern
G. M.
Tino
R.
Walser
article
PhysRevB.81.054514
Coherent superpositions of single semifluxon states in a 0−π Josephson junction
2010
Feb
10.1103/PhysRevB.81.054514
Phys. Rev. B
81
American Physical Society
054514
https://link.aps.org/doi/10.1103/PhysRevB.81.054514
E.
Goldobin
K.
Vogel
W. P.
Schleich
D.
Koelle
R.
Kleiner
article
vanZoest1540
Bose-Einstein Condensation in Microgravity
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.
2010
0036-8075
10.1126/science.1189164
Science
328
American Association for the Advancement of Science
1540--1543
5985
T.
Zoest
N.
Gaaloul
Y.
Singh
H.
Ahlers
W.
Herr
S. T.
Seidel
W.
Ertmer
E.
Rasel
M.
Eckart
E.
Kajari
S.
Arnold
G.
Nandi
W. P.
Schleich
R.
Walser
A.
Vogel
K.
Sengstock
K.
Bongs
W.
Lewoczko-Adamczyk
M.
Schiemangk
T.
Schuldt
A.
Peters
T.
Könemann
H.
Müntinga
C.
Lämmerzahl
H.
Dittus
T.
Steinmetz
T. W.
Hänsch
J.
Reichel
article
PhysRevB.80.134515
Theory of fractional vortex escape in a long Josephson junction
2009
Oct
10.1103/PhysRevB.80.134515
Phys. Rev. B
80
American Physical Society
134515
https://link.aps.org/doi/10.1103/PhysRevB.80.134515
K.
Vogel
W. P.
Schleich
T.
Kato
D.
Koelle
R.
Kleiner
E.
Goldobin
article
Theoretical Femtosecond Physics
2009
Physik Journal
8
53
W. P.
Schleich
article
Eckart_2009
The granularity of weakly occupied bosonic fields beyond the local density approximation
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, …, where exact numerical solutions of the many particle Schrödinger 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.
2009
feb
10.1088/1367-2630/11/2/023010
New Journal of Physics
11
{IOP} Publishing
023010
2
https://doi.org/10.1088%2F1367-2630%2F11%2F2%2F023010
M.
Eckart
R.
Walser
W. P.
Schleich
S.
Zöllner
P.
Schmelcher
article
PhysRevD.80.103002
The Gödel universe: Exact geometrical optics and analytical investigations on motion
2009
Nov
10.1103/PhysRevD.80.103002
Phys. Rev. D
80
American Physical Society
103002
https://link.aps.org/doi/10.1103/PhysRevD.80.103002
F.
Grave
M.
Buser
T.
Müller
G.
Wunner
W. P.
Schleich
article
PhysRevA.79.024101
State operator, constants of the motion, and Wigner functions: The two-dimensional isotropic harmonic oscillator
2009
Feb
10.1103/PhysRevA.79.024101
Phys. Rev. A
79
American Physical Society
024101
https://link.aps.org/doi/10.1103/PhysRevA.79.024101
J. P.
Dahl
W. P.
Schleich
inproceedings
Rotation in Relativity and the Propagation of Light
2009
Atom Optics and Space Physics
Proceedings of the International School of Physics "Enrico Fermi"
IOS Press
Amsterdam, Oxford, Tokyo, Washington DC
E. Arimondo, W. Ertmer, E. M. Rasel, and W. P. Schleich
45-148
E.
Kajari
M.
Buser
C.
Feiler
W. P.
Schleich
inbook
Preface
2009
Mathematical Analysis of Evolution, Information, and Complexity
Wiley VCH
Weinheim
W. Arendt and W. Schleich
XXIII-XXIX
W.
Arendt
D.
Mugnolo
W. P.
Schleich
inproceedings
Preface
2009
Atom Optics and Space Physics
Proceedings of the International School of Physics "Enrico Fermi"
IOS Press
Amsterdam, Oxford, Tokyo, Washington DC
E. Arimondo, W. Ertmer, E.M. Rasel and W.P. Schleich
XXIII-XVI
E.
Arimondo
W.
Ertmer
E. M.
Rasel
W. P.
Schleich
article
Feiler2009
New Frontiers at the Interface of General Relativity and Quantum Optics
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{"o}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.
2009
Dec
01
1572-9672
10.1007/s11214-009-9613-7
Space Science Reviews
148
123--147
1
https://doi.org/10.1007/s11214-009-9613-7
C.
Feiler
M.
Buser
E.
Kajari
W. P.
Schleich
E. M.
Rasel
R. F.
O'Connell
article
Ertmer2009
Matter wave explorer of gravity (MWXG)
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.
2009
Mar
01
1572-9508
10.1007/s10686-008-9125-6
Experimental Astronomy
23
611--649
2
https://doi.org/10.1007/s10686-008-9125-6
W.
Ertmer
C.
Schubert
T.
Wendrich
M.
Gilowski
M.
Zaiser
T. v.
Zoest
E.
Rasel
Ch. J.
Bordé
A.
Clairon
P.
Laurent
P.
Lemonde
G.
Santarelli
W.
Schleich
F. S.
Cataliotti
M.
Inguscio
N.
Poli
F.
Sorrentino
C.
Modugno
G. M.
Tino
P.
Gill
H.
Klein
H.
Margolis
S.
Reynaud
C.
Salomon
A.
Lambrecht
E.
Peik
C.
Jentsch
U.
Johann
A.
Rathke
P.
Bouyer
L.
Cacciapuoti
P.
De Natale
B.
Christophe
B.
Foulon
P.
Touboul
L.
Maleki
N.
Yu
S. G.
Turyshev
J. D.
Anderson
R.
Walser
J.
Vigué
M.
Büchner
M.-C.
Angonin
P.
Delva
P.
Tourrenc
R.
Bingham
B.
Kent
A.
Wicht
L. J.
Wang
K.
Bongs
Hj.
Dittus
C.
Lämmerzahl
S.
Theil
K.
Sengstock
A.
Peters
T.
Müller
M.
Arndt
L.
Iess
F.
Bondu
A.
Brillet
E.
Samain
M. L.
Chiofalo
F.
Levi
D.
Calonico
inproceedings
In memoriam of Jürgen Ehlers
2009
Atom Optics and Space Physics
Proceedings of the International School of Physics "Enrico Fermi"
IOS Press
Amsterdam, Oxford, Tokyo, Washington DC
E. Arimondo, W. Ertmer, E. M. Rasel, and W. P. Schleich
IX-XI
E.
Arimondo
W.
Ertmer
E. M.
Rasel
W. P.
Schleich
article
doi:10.1080/09500340903194625
Factorization of numbers with truncated Gauss sums at rational arguments
2009
10.1080/09500340903194625
Journal of Modern Optics
56
Taylor & Francis
2118-2124
18-19
S.
Wölk
C.
Feiler
W. P.
Schleich
inbook
Factorization
2009
Mathematical Analysis of Evolution, Information, and Complexity
Wiley VCH
Weinheim
W. Arendt and W. Schleich
395-431
R.
Mack
W. P.
Schleich
D.
Haase
H.
Maier
article
PhysRevA.80.022714
Efimov states in atom-molecule collisions
2009
Aug
10.1103/PhysRevA.80.022714
Phys. Rev. A
80
American Physical Society
022714
https://link.aps.org/doi/10.1103/PhysRevA.80.022714
M. A.
Efremov
L.
Plimak
B.
Berg
M. Yu.
Ivanov
W. P.
Schleich
article
PhysRevA.80.033624
Commuting Heisenberg operators as the quantum response problem: Time-normal averages in the truncated Wigner representation
2009
Sep
10.1103/PhysRevA.80.033624
Phys. Rev. A
80
American Physical Society
033624
https://link.aps.org/doi/10.1103/PhysRevA.80.033624
B.
Berg
L. I.
Plimak
A.
Polkovnikov
M. K.
Olsen
M.
Fleischhauer
W. P.
Schleich
article
Zum Gedenken an John Archibald Wheeler
2008
Physik Journal
7
126
H.
Pfister
W. P.
Schleich
article
Walser_2008
Semifluxons in superconductivity and cold atomic gases
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.
2008
apr
10.1088/1367-2630/10/4/045020
New Journal of Physics
10
{IOP} Publishing
045020
4
https://doi.org/10.1088%2F1367-2630%2F10%2F4%2F045020
R.
Walser
E.
Goldobin
O.
Crasser
D.
Koelle
R.
Kleiner
W. P.
Schleich
article
doi:10.1002/prop.200810535
Quantum carpets of a slightly relativistic particle
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.
2008
10.1002/prop.200810535
Fortschritte der Physik
56
967-992
10
wave packets, one-dimensional box, Talbot effect, Green function
https://onlinelibrary.wiley.com/doi/abs/10.1002/prop.200810535
I.
Marzoli
A. E.
Kaplan
F.
Saif
W. P.
Schleich
inproceedings
NMR implementation of exponential sums for integer factorization
2008
Contemporary Physics: Proceedings of the International Symposium , National Centre for Physics Islamabad, Pakistan 26-30 March 2007
World Scientific
Singapore
J. Aslam, F. Hussain and Riazuddin
87-94
M.
Štefaňák
W.
Merkel
M.
Mehring
W. P.
Schleich
incollection
Publikationsverhalten in der Physik
2008
Publikationsverhalten in unterschiedlichen Disziplinen, Beiträge zur Beurteilung von Forschungsleistungen
12
Diskussionspapiere der Alexander von Humboldt-Stiftung
W. P.
Schleich
article
Fraktionale Flussquanten, Steuerbare "Atome" im Supraleiter
2008
Themenheft Forschung
Quantenmaterie
5
Universität Stuttgart
22-31
E.
Goldobin
R.
Kleiner
D.
Kölle
W. P.
Schleich
K.
Vogel
R.
Walser
article
Nachruf auf Willis Eugene Lamb
2008
Physik Journal
7
127
W. P.
Schleich
article
Eckart_2008
Exploring the growth of correlations in a quasi one-dimensional trapped Bose gas
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.
2008
apr
10.1088/1367-2630/10/4/045024
New Journal of Physics
10
{IOP} Publishing
045024
4
https://doi.org/10.1088%2F1367-2630%2F10%2F4%2F045024
M.
Eckart
R.
Walser
W. P.
Schleich
article
PhysRevLett.100.030201
Gauss Sum Factorization with Cold Atoms
2008
Jan
10.1103/PhysRevLett.100.030201
Phys. Rev. Lett.
100
American Physical Society
030201
https://link.aps.org/doi/10.1103/PhysRevLett.100.030201
M.
Gilowski
T.
Wendrich
T.
Müller
Ch.
Jentsch
W.
Ertmer
E. M.
Rasel
W. P.
Schleich
article
PhysRevLett.100.030202
Factorization of Numbers with the Temporal Talbot Effect: Optical Implementation by a Sequence of Shaped Ultrashort Pulses
2008
Jan
10.1103/PhysRevLett.100.030202
Phys. Rev. Lett.
100
American Physical Society
030202
https://link.aps.org/doi/10.1103/PhysRevLett.100.030202
D.
Bigourd
B.
Chatel
W. P.
Schleich
B.
Girard
article
_tefa_k_2008
Factorization with exponential sums
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.
2008
jul
10.1088/1751-8113/41/30/304024
Journal of Physics A: Mathematical and Theoretical
41
{IOP} Publishing
304024
30
https://doi.org/10.1088%2F1751-8113%2F41%2F30%2F304024
M.
Štefaňák
D.
Haase
W.
Merkel
M. S.
Zubairy
W. P.
Schleich
article
PhysRevA.75.052107
Wigner functions of s waves
2007
May
10.1103/PhysRevA.75.052107
Phys. Rev. A
75
American Physical Society
052107
https://link.aps.org/doi/10.1103/PhysRevA.75.052107
J. P.
Dahl
S.
Varro
A.
Wolf
W. P.
Schleich
article
doi:10.1080/09500340701336535
Weyl–Wigner correspondence in two space dimensions
2007
10.1080/09500340701336535
Journal of Modern Optics
54
Taylor & Francis
2017-2032
13-15
J. P.
Dahl
S.
Varro
A.
Wolf
W. P.
Schleich
article
Signatures of non-locality in the first-order coherence of the scattered light
2007
Laser Physics
17
903-907
P.
Cañzares
T.
Görler
J. P.
Paz
G.
Morigi
W. P.
Schleich
article
doi:10.1142/S0218271807011620
Rubidium Bose-Einstein condensate under microgravity
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.
2007
10.1142/S0218271807011620
International Journal of Modern Physics D
16
2447-2454
12b
W.
Lewoczko-Adamczyk
A.
Peters
T.
van Zoest
E. M.
Rasel
W.
Ertmer
A.
Vogel
S.
Wildfang
G.
Johannsen
K.
Bongs
K.
Sengstock
T.
Steinmetz
J.
Reichel
T.
Könemann
W.
Brinkmann
C.
Lämmerzahl
H. J.
Dittus
G.
Nandi
W.
Schleich
R.
Walser
article
Grupp_2007
Resonant Feshbach scattering of fermions in one-dimensional optical lattices
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.
2007
jun
10.1088/0953-4075/40/13/014
Journal of Physics B: Atomic, Molecular and Optical Physics
40
{IOP} Publishing
2703--2718
13
https://doi.org/10.1088%2F0953-4075%2F40%2F13%2F014
M.
Grupp
R.
Walser
W. P.
Schleich
A.
Muramatsu
M.
Weitz
article
doi:10.1080/09500340701621266
Realization of a magneto-optical trap in microgravity
2007
10.1080/09500340701621266
Journal of Modern Optics
54
Taylor & Francis
2513-2522
16-17
K.
Bongs
W.
Brinkmann
H.
Dittus
W.
Ertmer
E.
Göklü
G.
Johannsen
E.
Kajari
T.
Könemann
C.
Lämmerzahl
W.
Lewoczko-Adamczyk
G.
Nandi
A.
Peters
E. M.
Rasel
W. P.
Schleich
M.
Schiemangk
K.
Sengstock
A.
Vogel
R.
Walser
S.
Wildfang
article
PhysRevLett.98.120502
NMR Experiment Factors Numbers with Gauss Sums
2007
Mar
10.1103/PhysRevLett.98.120502
Phys. Rev. Lett.
98
American Physical Society
120502
https://link.aps.org/doi/10.1103/PhysRevLett.98.120502
M.
Mehring
K.
Müller
I. Sh.
Averbukh
W.
Merkel
W. P.
Schleich
article
doi:10.1080/09500340600736843
Ground state cooling in a bad cavity
2007
10.1080/09500340600736843
Journal of Modern Optics
54
Taylor & Francis
1595-1606
11
S.
Zippilli
G.
Morigi
W. P.
Schleich
inbook
Factorization of Numbers with Physical Systems
2007
Elements of Quantum Information
Wiley-VCH
Weinheim
W. P. Schleich and H. Walther
339-353
W.
Merkel
I. Sh.
Averbukh
B.
Girard
M.
Mehring
G. G.
Paulus
W. P.
Schleich
article
PhysRevA.76.063617
Dropping cold quantum gases on Earth over long times and large distances
2007
Dec
10.1103/PhysRevA.76.063617
Phys. Rev. A
76
American Physical Society
063617
https://link.aps.org/doi/10.1103/PhysRevA.76.063617
G.
Nandi
R.
Walser
E.
Kajari
W. P.
Schleich
inproceedings
Developments toward atomic quantum sensors
2007
10.1117/12.704287
Complex Light and Optical Forces
Proc. SPIE
6483
T.
van Zoest
T.
Müller
T.
Wendrich
M.
Gilowski
E. M.
Rasel
T.
Könemann
C.
Lämmerzahl
H. J.
Dittus
A.
Vogel
K.
Bongs
K.
Sengstock
W.
Lewoczko
A.
Peters
T.
Steinmetz
J.
Reichel
G.
Nandi
W.
Schleich
R.
Walser
W.
Ertmer
article
PhysRevA.75.033420
Coherent transport of single atoms in optical lattices
2007
Mar
10.1103/PhysRevA.75.033420
Phys. Rev. A
75
American Physical Society
033420
https://link.aps.org/doi/10.1103/PhysRevA.75.033420
W.
Merkel
H.
Mack
M.
Freyberger
V. V.
Kozlov
W. P.
Schleich
B. W.
Shore
article
PhysRevA.76.023417
Chirping a two-photon transition in a multistate ladder
2007
Aug
10.1103/PhysRevA.76.023417
Phys. Rev. A
76
American Physical Society
023417
https://link.aps.org/doi/10.1103/PhysRevA.76.023417
W.
Merkel
H.
Mack
W. P.
Schleich
E.
Lutz
G. G.
Paulus
B.
Girard
article
doi:10.1142/S0218271807011358
Atomic Quantum Sensors in Space
In this article we present actual projects concerning high resolution measurements developed for future space missions based on ultracold atoms at the Institut für 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.
2007
10.1142/S0218271807011358
International Journal of Modern Physics D
16
2421-2429
12b
T.
van Zoest
T.
Müller
T.
Wendrich
M.
Gilowski
E. M.
Rasel
W.
Ertmer
T.
Könemann
C.
Lämmerzahl
H. J.
Dittus
A.
Vogel
K.
Bongs
K.
Sengstock
W.
Lewoczko
A.
Peters
T.
Steinmetz
J.
Reichel
G.
Nandi
W.
Schleich
R.
Walser
article
TINO2007159
Atom interferometers and optical atomic clocks: New quantum sensors for fundamental physics experiments in space
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.
2007
0920-5632
https://doi.org/10.1016/j.nuclphysbps.2006.12.061
Nuclear Physics B - Proceedings Supplements
166
159 - 165
http://www.sciencedirect.com/science/article/pii/S0920563206010152
Proceedings of the Third International Conference on Particle and Fundamental Physics in Space
G. M.
Tino
L.
Cacciapuoti
K.
Bongs
Ch. J.
Bordé
P.
Bouyer
H.
Dittus
W.
Ertmer
A.
Görlitz
M.
Inguscio
A.
Landragin
P.
Lemonde
C.
Lämmerzahl
A.
Peters
E.
Rasel
J.
Reichel
C.
Salomon
S.
Schiller
W.
Schleich
K.
Sengstock
U.
Sterr
M.
Wilkens
article
Koenemann2007
A freely falling magneto-optical trap drop tower experiment
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].
2007
Dec
01
1432-0649
10.1007/s00340-007-2863-8
Applied Physics B
89
431--438
4
https://doi.org/10.1007/s00340-007-2863-8
T.
Könemann
W.
Brinkmann
E.
Göklü
C.
Lämmerzahl
H.
Dittus
T.
Zoest
E. M.
Rasel
W.
Ertmer
W.
Lewoczko-Adamczyk
M.
Schiemangk
A.
Peters
A.
Vogel
G.
Johannsen
S.
Wildfang
K.
Bongs
K.
Sengstock
E.
Kajari
G.
Nandi
R.
Walser
W. P.
Schleich
article
_tefa_k_2007
Factorization with Gauss sums: scaling properties of ghost factors
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.
2007
oct
10.1088/1367-2630/9/10/370
New Journal of Physics
9
{IOP} Publishing
370--370
10
https://doi.org/10.1088%2F1367-2630%2F9%2F10%2F370
M.
Štefaňák
W.
Merkel
W. P.
Schleich
D.
Haase
H.
Maier
article
doi:10.1002/prop.200610315
Factorization of numbers with physical systems
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.
2006
10.1002/prop.200610315
Fortschritte der Physik
54
856-865
8‐10
Gauss sums, chirped pulses, factorization of numbers
https://onlinelibrary.wiley.com/doi/abs/10.1002/prop.200610315
W.
Merkel
I. Sh.
Averbukh
B.
Girard
G. G.
Paulus
W. P.
Schleich
inbook
Quantum Optics
2006
10.1007/978-3-540-47008-3_2
Laser Physics and Application
VIII/1A2
Springer
Berlin, Heidelberg
Laser Fundamentals, Landolt-Börnstein
H. Weber, G. Herziger and R. Poprawe
3-46
https://materials.springer.com/lb/docs/sm_lbs_978-3-540-47008-3_2
F.
Haug
M.
Freyberger
K.
Vogel
W. P.
Schleich
article
PLIMAK2006311
Quantum dynamics of atomic coherence in a spin-1 condensate: Mean-field versus many-body simulation
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.
2006
0030-4018
https://doi.org/10.1016/j.optcom.2006.03.074
Optics Communications
264
311 - 320
2
Cold atoms, Trapped atoms, Bose condensate, Spinor condensate, Nonequilibrium dynamics, Many Body Theory
http://www.sciencedirect.com/science/article/pii/S0030401806004913
Quantum Control of Light and Matter
L. I.
Plimak
C.
Weiß
R.
Walser
W. P.
Schleich
inbook
Freyberger2006
Quantized Field Effects
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.
2006
978-0-387-26308-3
10.1007/978-0-387-26308-3_78
Springer
New York, NY
G. Drake
1141--1165
https://doi.org/10.1007/978-0-387-26308-3_78
M.
Freyberger
K.
Vogel
W.
Schleich
R.
O'Connell
article
PhysRevA.73.050701
Collective Feshbach scattering of a superfluid droplet from a mesoscopic two-component Bose-Einstein condensate
2006
May
10.1103/PhysRevA.73.050701
Phys. Rev. A
73
American Physical Society
050701
https://link.aps.org/doi/10.1103/PhysRevA.73.050701
M.
Grupp
G.
Nandi
R.
Walser
W. P.
Schleich
article
PhysRevA.74.042323
Entanglement versus negative domains of Wigner functions
2006
Oct
10.1103/PhysRevA.74.042323
Phys. Rev. A
74
American Physical Society
042323
https://link.aps.org/doi/10.1103/PhysRevA.74.042323
J. P.
Dahl
H.
Mack
A.
Wolf
W. P.
Schleich
article
doi:10.1142/S021797920603439X
Chirped pulses, Gauß sums and the factorization of numbers
We present two physical systems which make Gauß 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 Gauß sum. The autocorrelation function of a quantum rotor is also of the form of a Gauß sum. These examples suggest rules for determining prime factor components on the basis of the properties of Gauß sums. Moreover, we show how Gauß sums are related to the Riemann Zeta function.
2006
10.1142/S021797920603439X
International Journal of Modern Physics B
20
1893-1916
11n13
W.
Merkel
O.
Crasser
F.
Haug
E.
Lutz
H.
Mack
M.
Freyberger
W. P.
Schleich
I.
Averbukh
M.
Bienert
B.
Girard
H.
Maier
G. G.
Paulus
article
Vogel2006
Bose--Einstein condensates in microgravity
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.
2006
Sep
01
1432-0649
10.1007/s00340-006-2359-y
Applied Physics B
84
663--671
4
https://doi.org/10.1007/s00340-006-2359-y
A.
Vogel
M.
Schmidt
K.
Sengstock
K.
Bongs
W.
Lewoczko
T.
Schuldt
A.
Peters
T.
van Zoest
W.
Ertmer
E.
Rasel
T.
Steinmetz
J.
Reichel
T.
Könemann
W.
Brinkmann
E.
Göklü
C.
Lämmerzahl
H. J.
Dittus
G.
Nandi
W. P.
Schleich
R.
Walser
article
doi:10.1002/lapl.200510055
Coherent array of non-spreading atomic wave packets in absorptive optical potentials
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)
2006
10.1002/lapl.200510055
Laser Physics Letters
3
31-36
1
atom optics, wave packets, lithography
https://onlinelibrary.wiley.com/doi/abs/10.1002/lapl.200510055
S. V.
Petropavlovsky
V. P.
Yakovlev
M. A.
Efremov
M. V.
Fedorov
W. P.
Schleich
article
Adventures in s-waves
2005
Laser Physics
15
18-36
J. P.
Dahl
D. M.
Greenberger
M. J. W.
Hall
G.
Süßmann
A.
Wolf
W. P.
Schleich
article
Ein Doppelspalt in der Zeit
2005
Physik Journal
4
22-23
W. P.
Schleich
article
PhysRevA.71.053601
Extracting atoms on demand with lasers
2005
May
10.1103/PhysRevA.71.053601
Phys. Rev. A
71
American Physical Society
053601
https://link.aps.org/doi/10.1103/PhysRevA.71.053601
B.
Mohring
M.
Bienert
F.
Haug
G.
Morigi
W. P.
Schleich
M. G.
Raizen
article
Efremov_2005
Formation of two-dimensional nonspreading atomic wave packets in the field of two standing light waves
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.
2005
aug
10.1070/qe2005v035n08abeh009145
Quantum Electronics
35
{IOP} Publishing
675--678
8
https://doi.org/10.1070%2Fqe2005v035n08abeh009145
M. A.
Efremov
S. V.
Petropavlovsky
M. V.
Fedorov
W. P.
Schleich
V. P.
Yakovlev
article
Kohärenz und Präzision, Physik-Nobelpreise für Pionierleistugnen in Quantenoptik und Laserspektroskopie
2005
Physik Journal
4
21-26
W. P.
Schleich
H.
Walther
article
PhysRevA.71.043803
Motional stability of the quantum kicked rotor: A fidelity approach
2005
Apr
10.1103/PhysRevA.71.043803
Phys. Rev. A
71
American Physical Society
043803
https://link.aps.org/doi/10.1103/PhysRevA.71.043803
F.
Haug
M.
Bienert
W. P.
Schleich
T. H.
Seligman
M. G.
Raizen
article
PhysRevLett.95.110405
Observation of Nonspreading Wave Packets in an Imaginary Potential
2005
Sep
10.1103/PhysRevLett.95.110405
Phys. Rev. Lett.
95
American Physical Society
110405
https://link.aps.org/doi/10.1103/PhysRevLett.95.110405
R.
Stützle
M. C.
Göbel
Th.
Hörner
E.
Kierig
I.
Mourachko
M. K.
Oberthaler
M. A.
Efremov
M. V.
Fedorov
V. P.
Yakovlev
K. A. H.
van Leeuwen
W. P.
Schleich
article
PhysRevB.72.054527
Quantum tunneling of semifluxons in a 0-π-0 long Josephson junction
2005
Aug
10.1103/PhysRevB.72.054527
Phys. Rev. B
72
American Physical Society
054527
https://link.aps.org/doi/10.1103/PhysRevB.72.054527
E.
Goldobin
K.
Vogel
O.
Crasser
R.
Walser
W. P.
Schleich
D.
Koelle
R.
Kleiner
inbook
Quantenoptik
2004
Bergmann-Schäfer, Lehrbuch der Experimentalphysik
3: Optik
Walther de Gruyter
Berlin
7
H. Niedrig
M.
Freyberger
F.
Haug
W. P.
Schleich
K.
Vogel
article
PhysRevA.69.063606
Vortex creation in a trapped Bose-Einstein condensate by stimulated Raman adiabatic passage
2004
Jun
10.1103/PhysRevA.69.063606
Phys. Rev. A
69
American Physical Society
063606
https://link.aps.org/doi/10.1103/PhysRevA.69.063606
G.
Nandi
R.
Walser
W. P.
Schleich
article
doi:10.1021/jp049616r
The JWKB Method in Central-Field Problems. Planar Radial Wave Equation and Resolution of Kramers' Dilemma
2004
10.1021/jp049616r
The Journal of Physical Chemistry A
108
8713-8720
41
J. P.
Dahl
W. P.
Schleich
article
Kajari2004
Sagnac Effect of Gödel's Universe
We present exact expressions for the Sagnac effect of G{"o}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{"o}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.
2004
Oct
01
1572-9532
10.1023/B:GERG.0000046184.03333.9f
General Relativity and Gravitation
36
2289--2316
10
https://doi.org/10.1023/B:GERG.0000046184.03333.9f
E.
Kajari
R.
Walser
W. P.
Schleich
A.
Delgado
article
doi:10.1142/S0217979204024550
Bose-Einstein Condensates with Laser-induced Dipole-dipole Interactions beyond the Mean-field
Approach
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.
2004
10.1142/S0217979204024550
International Journal of Modern Physics B
18
961-974
07
G.
Kurizki
I. E.
Mazets
D. H. J.
O'Dell
W. P.
Schleich
article
doi:10.1002/prop.200410182
Interference acceleration of a free particle
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.
2004
10.1002/prop.200410182
Fortschritte der Physik
52
1118-1133
11‐12
https://onlinelibrary.wiley.com/doi/abs/10.1002/prop.200410182
J. P.
Dahl
A.
Wolf
W. P.
Schleich
inbook
Foucault’s Pendel
2004
Die 10 schönsten Physikexperimente aller Zeiten
Rowohlt-Taschenbuchverlag
Reinbek
W. P.
Schleich
article
Mazets_2004
Depletion of a Bose-Einstein condensate by laser-induced dipole-dipole interactions
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 ‘roton’ 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.
2004
mar
10.1088/0953-4075/37/7/061
Journal of Physics B: Atomic, Molecular and Optical Physics
37
{IOP} Publishing
S155--S164
7
https://doi.org/10.1088%2F0953-4075%2F37%2F7%2F061
I. E.
Mazets
D. H. J.
O'Dell
G.
Kurizki
N.
Davidson
W. P.
Schleich
article
doi:10.1142/S021947750400163X
Could Fresnel Optics be Quantum Mechanics in Phase Space?
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.
2004
10.1142/S021947750400163X
Fluctuation and Noise Letters
04
L43-L51
01
O.
Crasser
H.
Mack
W. P.
Schleich
article
PhysRevLett.91.010401
Fresnel Representation of the Wigner Function: An Operational Approach
2003
Jun
10.1103/PhysRevLett.91.010401
Phys. Rev. Lett.
91
American Physical Society
010401
https://link.aps.org/doi/10.1103/PhysRevLett.91.010401
P.
Lougovski
E.
Solano
Z. M.
Zhang
H.
Walther
H.
Mack
W. P.
Schleich
article
doi:10.1002/prop.200310065
Kicked rotor in Wigner phase space
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.
2003
10.1002/prop.200310065
Fortschritte der Physik
51
474-486
4‐5
https://onlinelibrary.wiley.com/doi/abs/10.1002/prop.200310065
M.
Bienert
F.
Haug
W. P.
Schleich
M. G.
Raizen
article
Botero2003
Geometry, commutation relations and the quantum fictitious force
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{"o}dinger equation of an s-wave.
2003
Feb
01
1432-0649
10.1007/s00340-003-1113-y
Applied Physics B
76
129--133
2
https://doi.org/10.1007/s00340-003-1113-y
J.
Botero
M. A.
Cirone
J. P.
Dahl
F.
Straub
W. P.
Schleich
article
Volles Engagement für die Universität Ulm, Emeritiert: Wolfgang Witschel
2003
uni ulm intern, Das Ulmer Universitätsmagazin
261
25-27
W. P.
Schleich
inbook
doi:10.1142/9789812704634_0039
Entanglement, Kinetic Energy and the Quantum Fictitious Potential
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.
2003
10.1142/9789812704634_0039
The Physics of Communication
Proceedings of XXII Solvay Conference on Physics
World Scientific
Singapore
I. Antoniou, V. A. Sadovnichy and H. Walther
568-575
J.
Botero
M. A.
Cirone
J. P.
Dahl
A.
Delgado
W. P.
Schleich
article
Dynamical Suppression of Radiative Decay via Atomic Deflection by a Standing Light Wave
2003
Laser Physics
13
995-1003
7
M. A.
Efremov
M.
Fedorov
V. P.
Yakovlev
W. P.
Schleich
article
doi:10.1002/prop.200310007
An elementary aspect of the Weyl-Wigner representation
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.
2003
10.1002/prop.200310007
Fortschritte der Physik
51
85-91
2‐3
https://onlinelibrary.wiley.com/doi/abs/10.1002/prop.200310007
J. P.
Dahl
W. P.
Schleich
article
article
A Photon Viewed from Wigner Phase Space
2003
10.1201/9781420044256.ch5
Optics and Photonics News
14
28-35
H.
Mack
W. P.
Schleich
article
Fedorov2003
Dynamics of spontaneous radiation of atoms scattered by a resonance standing light wave
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.
2003
Sep
01
1090-6509
10.1134/1.1618338
Journal of Experimental and Theoretical Physics
97
522--538
3
https://doi.org/10.1134/1.1618338
M. V.
Fedorov
M. A.
Efremov
V. P.
Yakovlev
W. P.
Schleich
article
quantumfictious
Quantum Fictitious Forces
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”.
2002
10.1002/1521-3978(200205)50:5/7<599::AID-PROP599>3.0.CO;2-G
Fortschritte der Physik
50
599-607
5‐7
https://onlinelibrary.wiley.com/doi/abs/10.1002/1521-3978%28200205%2950%3A5/7%3C599%3A%3AAID-PROP599%3E3.0.CO%3B2-G
I.
Białynicki-Birula
M. A.
Cirone
J. P.
Dahl
T. H.
Seligman
F.
Straub
W. P.
Schleich
article
wavepackets
Wave Packets Can Factorize Numbers
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.
2002
10.1002/1521-3951(200210)233:3<408::AID-PSSB408>3.0.CO;2-N
physica status solidi (b)
233
408-415
3
03.67.–a, 42.25.–p, 42.25.Hz
https://onlinelibrary.wiley.com/doi/abs/10.1002/1521-3951%28200210%29233%3A3%3C408%3A%3AAID-PSSB408%3E3.0.CO%3B2-N
H.
Mack
M.
Bienert
F.
Haug
M.
Freyberger
W. P.
Schleich
inbook
Wave Packet Dynamics and Factorization of Numbers
2002
10.3254/978-1-61499-004-8-369
Experimental Quantum Computation and Information
148
IOS Press
Amsterdam, Oxford, Tokyo, Washington DC
Proceedings of the International School of Physics "Enrico Fermi"
F. De Martini and C. Monroe
369-384
H.
Mack
M.
Bienert
F.
Haug
F.
Straub
M.
Freyberger
W. P.
Schleich
article
PhysRevLett.89.050403
State Reconstruction of the Kicked Rotor
2002
Jul
10.1103/PhysRevLett.89.050403
Phys. Rev. Lett.
89
American Physical Society
050403
https://link.aps.org/doi/10.1103/PhysRevLett.89.050403
M.
Bienert
F.
Haug
W. P.
Schleich
M. G.
Raizen
article
Meneghini_2002
Reshaping of atomic waves with two-dimensional optical crystals
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.
2002
apr
10.1088/1464-4266/4/3/301
Journal of Optics B: Quantum and Semiclassical Optics
4
{IOP} Publishing
165--171
3
https://doi.org/10.1088%2F1464-4266%2F4%2F3%2F301
S.
Meneghini
I.
Jex
W. P.
Schleich
V. P.
Yakovlev
article
Delgado_2002
Quantum gyroscopes and Gödel's universe: entanglement opens a new testing ground for cosmology
Some exact solutions of Einstein's field equations represent a
rotating universe. One example is Gödel's cosmological model.
Bianchi solutions generalize the Gödel 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.
2002
jun
10.1088/1367-2630/4/1/337
New Journal of Physics
4
{IOP} Publishing
37--37
https://doi.org/10.1088%2F1367-2630%2F4%2F1%2F337
A.
Delgado
W. P.
Schleich
G.
Süßmann
article
PhysRevA.65.052110
Localization and diffusion in Ising-type quantum networks
2002
Apr
10.1103/PhysRevA.65.052110
Phys. Rev. A
65
American Physical Society
052110
https://link.aps.org/doi/10.1103/PhysRevA.65.052110
P.
Törmä
I.
Jex
W. P.
Schleich
inbook
Quantum Estimation with Finite Resources
2002
Quantum Information Technology
VCH-Wiley
Weinheim
G. Leuchs and Th. Beth
Th. C.
Bschorr
D. G.
Fischer
H.
Mack
W. P.
Schleich
M.
Freyberger
article
PhysRevLett.89.060404
In- and Outbound Spreading of a Free-Particle s-Wave
2002
Jul
10.1103/PhysRevLett.89.060404
Phys. Rev. Lett.
89
American Physical Society
060404
https://link.aps.org/doi/10.1103/PhysRevLett.89.060404
I.
Białynicki-Birula
M. A.
Cirone
J. P.
Dahl
M.
Fedorov
W. P.
Schleich
article
PhysRevA.65.052109
Dimensional enhancement of kinetic energies
2002
Apr
10.1103/PhysRevA.65.052109
Phys. Rev. A
65
American Physical Society
052109
https://link.aps.org/doi/10.1103/PhysRevA.65.052109
W. P.
Schleich
J. P.
Dahl
inbook
Riedel2002
Control of Dynamical Localization by Additional Quantum Degrees
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.
2002
978-0-306-47097-4
10.1007/0-306-47097-7_43
Springer US
Boston, MA
P. Kumar, G. M. D'Ariano and O. Hirota
321--330
https://doi.org/10.1007/0-306-47097-7_43
K.
Riedel
P.
Törmä
V.
Savichev
W. P.
Schleich
article
PhysRevA.65.022109
Concepts of radial and angular kinetic energies
2002
Jan
10.1103/PhysRevA.65.022109
Phys. Rev. A
65
American Physical Society
022109
https://link.aps.org/doi/10.1103/PhysRevA.65.022109
J. P.
Dahl
W. P.
Schleich
article
Bia_lslash_ynicki_Birula_2002
Attractive and repulsive quantum forces from dimensionality of space
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.
2002
aug
10.1088/1464-4266/4/4/326
Journal of Optics B: Quantum and Semiclassical Optics
4
{IOP} Publishing
S393--S396
4
https://doi.org/10.1088%2F1464-4266%2F4%2F4%2F326
I.
Białynicki-Birula
M. A.
Cirone
J. P.
Dahl
R. F.
O'Connell
W. P.
Schleich
article
KONDRASHIN2002319
Anomalous kinetics of heavy particles in light media
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.
2002
0301-0104
https://doi.org/10.1016/S0301-0104(02)00555-4
Chemical Physics
284
319 - 330
1
Anomalous transport, Lévi flights, Optical lattice
http://www.sciencedirect.com/science/article/pii/S0301010402005554
Strange Kinetics
M. P.
Kondrashin
S.
Schaufler
W. P.
Schleich
V. P.
Yakovlev
article
Berry_2001
Quantum carpets, carpets of light
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.”
2001
jun
10.1088/2058-7058/14/6/30
Physics World
14
{IOP} Publishing
39--46
6
https://doi.org/10.1088%2F2058-7058%2F14%2F6%2F30
M.
Berry
I.
Marzoli
W.
Schleich
article
Unusual Bound or Localized States
2001
10.1515/zna-2001-0109
Zeitschrift für Naturforschung A
56
48-60
1-2
M. A.
Cirone
G.
Metikas
W. P.
Schleich
article
PhysRevA.63.065601
Spatiotemporal interferometry for trapped atomic Bose-Einstein condensates
2001
May
10.1103/PhysRevA.63.065601
Phys. Rev. A
63
American Physical Society
065601
https://link.aps.org/doi/10.1103/PhysRevA.63.065601
K.
Burnett
O. M.
Friesch
B.
Kneer
W. P.
Schleich
article
PhysRevA.65.022101
Quantum anticentrifugal force
2001
Dec
10.1103/PhysRevA.65.022101
Phys. Rev. A
65
American Physical Society
022101
https://link.aps.org/doi/10.1103/PhysRevA.65.022101
M. A.
Cirone
K.
Rza̧żewski
W. P.
Schleich
F.
Straub
J. A.
Wheeler
article
doi:10.1063/1.1369661
Molecular quantum dynamics in a thermal system: Fractional wave packet revivals probed by random-phase fluorescence interferometry
2001
10.1063/1.1369661
The Journal of Chemical Physics
114
9901-9910
22
Ch.
Warmuth
A.
Tortschanoff
F.
Milota
M.
Leibscher
M.
Shapiro
Y.
Prior
I. Sh.
Averbukh
W.
Schleich
W.
Jakubetz
H. F.
Kauffmann
article
PhysRevA.63.043613
Interference of a Bose-Einstein condensate in a hard-wall trap: From the nonlinear Talbot effect to the formation of vorticity
2001
Mar
10.1103/PhysRevA.63.043613
Phys. Rev. A
63
American Physical Society
043613
https://link.aps.org/doi/10.1103/PhysRevA.63.043613
J.
Ruostekoski
B.
Kneer
W. P.
Schleich
G.
Rempe
article
Cirone_2001
Huygens' principle, the free Schrödinger particle and the quantum anti-centrifugal force
Huygens' principle following from the d'Alembert wave equation
is not valid in two-dimensional space. A Schrödinger 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.
2001
dec
10.1088/0953-4075/35/1/314
Journal of Physics B: Atomic, Molecular and Optical Physics
35
{IOP} Publishing
191--203
1
https://doi.org/10.1088%2F0953-4075%2F35%2F1%2F314
M. A.
Cirone
J. P.
Dahl
M.
Fedorov
D. M.
Greenberger
W. P.
Schleich
article
Gleisberg_2001
Friedel oscillations in phase space: Wigner function of trapped interacting fermions
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.
2001
nov
10.1088/0953-4075/34/23/309
Journal of Physics B: Atomic, Molecular and Optical Physics
34
{IOP} Publishing
4645--4651
23
https://doi.org/10.1088%2F0953-4075%2F34%2F23%2F309
F.
Gleisberg
W. P.
Schleich
W.
Wonneberger
article
Friesch_2000
Quantum carpets woven by Wigner functions
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.
2000
mar
10.1088/1367-2630/2/1/004
New Journal of Physics
2
{IOP} Publishing
4--4
https://doi.org/10.1088%2F1367-2630%2F2%2F1%2F004
O. M.
Friesch
I.
Marzoli
W. P.
Schleich
article
CZIRJAK200029
The Wigner function for tunneling in a uniform static electric field1Dedicated to Marlan O. Scully on the occasion of his 60th birthday.1
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.
2000
0030-4018
https://doi.org/10.1016/S0030-4018(99)00591-X
Optics Communications
179
29 - 38
1
http://www.sciencedirect.com/science/article/pii/S003040189900591X
A.
Czirják
R.
Kopold
W.
Becker
M.
Kleber
W. P.
Schleich
article
doi:10.1063/1.481060
Studying vibrational wavepacket dynamics by measuring fluorescence interference fluctuations
2000
10.1063/1.481060
The Journal of Chemical Physics
112
5060-5069
11
Ch.
Warmuth
A.
Tortschanoff
F.
Milota
M.
Shapiro
Y.
Prior
I. Sh.
Averbukh
W.
Schleich
W.
Jakubetz
H. F.
Kauffmann
inbook
Storage and Read-Out of Quantum-State Information Via Interference
2000
Trends in Quantum Mechanics
World Scientific
Singapur
H.-D. Doebner, S.T. Ali, M. Keyl and R.F. Werner
M.
Freyberger
S. H.
Kienle
W. P.
Schleich
article
Saif_2000
Quantum revivals in a periodically driven gravitational cavity
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.
2000
oct
10.1088/1464-4266/2/5/315
Journal of Optics B: Quantum and Semiclassical Optics
2
{IOP} Publishing
668--671
5
https://doi.org/10.1088%2F1464-4266%2F2%2F5%2F315
F.
Saif
G.
Alber
V.
Savichev
W. P.
Schleich
inproceedings
Quantum Optics with Metastable Helium Atoms
2000
Quantum Optics of Small Structures
Verh. Nat. Kon. Ned. Akad. van Wetensch.
D. Lenstra, T.D. Visser and K.A.H. van Leeuwen
195-206
K. A. H.
van Leeuwen
A. E. A.
Koolen
M. J.
de Koning
H. C. W.
Beijerinck
W. P.
Schleich
article
PhysRevA.61.032101
Multimode interference: Highly regular pattern formation in quantum wave-packet evolution
2000
Feb
10.1103/PhysRevA.61.032101
Phys. Rev. A
61
American Physical Society
032101
https://link.aps.org/doi/10.1103/PhysRevA.61.032101
A. E.
Kaplan
I.
Marzoli
W. E.
Lamb
W. P.
Schleich
article
doi:10.1080/09500340008232204
Non-dissipative decoherence for quantum carpets
2000
10.1080/09500340008232204
Journal of Modern Optics
47
Taylor & Francis
2891-2904
14-15
R.
Bonifacio
I.
Marzoli
W. P.
Schleich
article
Fractional Dynamics in Phase Space
2000
Laser Physics
10
123-126
K.
Banaszek
K.
Wódkiewicz
W.
Schleich
article
Schleich2000
Engineering decoherence
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.
2000
1476-4687
10.1038/35002223
Nature
403
256-257
6767
https://doi.org/10.1038/35002223
W. P.
Schleich
inbook
Dynamical Localization and Decoherence
2000
Decoherence: Theoretical, Experimental and Conceptual Problems
Springer
Heidelberg
Ph. Blanchard, D. Giulini E. Joos C. Kiefer and I.-O. Stamatescu
179-189
F.
Saif
K.
Riedel
W. P.
Schleich
B.
Mirbach
article
Atomic Motion in Longitudinally Modulated Light Crystals
2000
Laser Physics
10
116-122
S.
Meneghini
I.
Jex
K. A. H.
van Leeuwen
M. R.
Kasimov
W. P.
Schleich
V. P.
Yakovlev
article
Meneghini2000
Atomic focusing and near field imaging: A combination for producing small-period nanostructures
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.
2000
May
01
1432-0649
10.1007/s003400050880
Applied Physics B
70
675--682
5
https://doi.org/10.1007/s003400050880
S.
Meneghini
V. I.
Savichev
K. A. H.
van Leeuwen
W. P.
Schleich
inproceedings
Atom Optics and the Discreteness of Photons
2000
Quantum Optics of Small Structures
Verh. Nat. Kon. Ned. Akad. van Wetensch
D. Lenstra, T.D. Visser and K.A.H. van Leeuwen
169-183
H.
Mack
S.
Meneghini
W. P.
Schleich
inbook
The Particle in the Box: Intermode Traces in the Propagator
1999
Nonlinear Dynamics and Computational Physics
Narosa Publishing House
New Delhi
V. B. Sheorey
135-146
I.
Marzoli
I.
Białynicki-Birula
O. M.
Friesch
A. E.
Kaplan
W. P.
Schleich
article
Subrecoil Laser Cooling with Velocity Filtering: Measurement of the Waiting-Time Distribution
1999
Laser Physics
9
277-280
S.
Schaufler
W. P.
Schleich
V. P.
Yakovlev
article
PhysRevA.59.2163
Reconstructing wave packets by quantum-state holography
1999
Mar
10.1103/PhysRevA.59.2163
Phys. Rev. A
59
American Physical Society
2163--2173
https://link.aps.org/doi/10.1103/PhysRevA.59.2163
I. Sh.
Averbukh
M.
Shapiro
C.
Leichtle
W. P.
Schleich
article
PhysRevA.59.714
Trapping-state restoration in the randomly driven Jaynes-Cummings model by conditional measurements
1999
Jan
10.1103/PhysRevA.59.714
Phys. Rev. A
59
American Physical Society
714--717
https://link.aps.org/doi/10.1103/PhysRevA.59.714
M.
Fortunato
G.
Kurizki
W. P.
Schleich
article
Hall_1999
Unravelling quantum carpets: a travelling-wave approach
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.
1999
nov
10.1088/0305-4470/32/47/307
Journal of Physics A: Mathematical and General
32
{IOP} Publishing
8275--8291
47
https://doi.org/10.1088%2F0305-4470%2F32%2F47%2F307
M. J. W.
Hall
M. S.
Reineker
W. P.
Schleich
article
Schleich1999
Sculpting a wavepacket
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.
1999
1476-4687
10.1038/16583
Nature
397
207-208
6716
https://doi.org/10.1038/16583
W. P.
Schleich
article
Quantum-nondestructive endoscopic tomography
1999
Optics and Spectroscopy
87
567-571
M.
Fortunato
P.
Tombesi
W. P.
Schleich
article
article
Quantum state reconstruction of an atomic matter wave
1999
Laser Physics
9
270-276
D. G.
Fischer
S. H.
Kienle
W. P.
Schleich
V. P.
Yakovlev
M.
Freyberger
article
PhysRevA.61.013410
Optical Galton board
1999
Dec
10.1103/PhysRevA.61.013410
Phys. Rev. A
61
American Physical Society
013410
https://link.aps.org/doi/10.1103/PhysRevA.61.013410
D.
Bouwmeester
I.
Marzoli
G. P.
Karman
W.
Schleich
J. P.
Woerdman
article
RevModPhys.71.S263
Laser physics: Quantum controversy in action
1999
Mar
10.1103/RevModPhys.71.S263
Rev. Mod. Phys.
71
American Physical Society
S263--S273
https://link.aps.org/doi/10.1103/RevModPhys.71.S263
W. E.
Lamb
W. P.
Schleich
M. O.
Scully
C. H.
Townes
article
PhysRevLett.83.3162
Keyhole Look at Lévy Flights in Subrecoil Laser Cooling
1999
Oct
10.1103/PhysRevLett.83.3162
Phys. Rev. Lett.
83
American Physical Society
3162--3165
https://link.aps.org/doi/10.1103/PhysRevLett.83.3162
S.
Schaufler
W. P.
Schleich
V. P.
Yakovlev
article
PhysRevA.59.718
Endoscopic tomography and quantum nondemolition
1999
Jan
10.1103/PhysRevA.59.718
Phys. Rev. A
59
American Physical Society
718--727
https://link.aps.org/doi/10.1103/PhysRevA.59.718
M.
Fortunato
P.
Tombesi
W. P.
Schleich
inproceedings
10.1007/978-3-642-58600-2_5
Dynamical localization in the Paul trap --- the influence of the internal structure of the atom
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.
1999
978-3-642-58600-2
10.1007/978-3-642-58600-2_5
High Performance Computing in Science and Engineering '98
Springer
Berlin, Heidelberg
E. Krause
and W. Jäger
35--53
K.
Riedel
P.
Törmä
V.
Savichev
W. P.
Schleich
article
PhysRevA.59.797
Control of dynamical localization by an additional quantum degree of freedom
1999
Jan
10.1103/PhysRevA.59.797
Phys. Rev. A
59
American Physical Society
797--802
https://link.aps.org/doi/10.1103/PhysRevA.59.797
K.
Riedel
P.
Törmä
V.
Savichev
W. P.
Schleich
incollection
FREYBERGER1999143
Atom Optics in Quantized Light Fields
1999
1049-250X
10.1016/S1049-250X(08)60220-7
41
Academic Press
Advances In Atomic, Molecular, and Optical Physics
B. Bederson and H. Walther
143 - 180
M.
Freyberger
A. M.
Herkommer
D. S.
Krähmer
E.
Mayr
W. P.
Schleich
inproceedings
Quantum Carpets and Wigner Functions
1998
Proceedings of the 5th Wigner Symposium
World Scientific
Singapore
P. Kasperkovitz and D. Grau
323-329
I.
Marzoli
O. M.
Friesch
W. P.
Schleich
article
doi:10.1063/1.476501
Wave packet interferometry without phase-locking
1998
10.1063/1.476501
The Journal of Chemical Physics
108
6057-6067
15
C.
Leichtle
W. P.
Schleich
I. Sh.
Averbukh
M.
Shapiro
article
PhysRevLett.80.5730
Stabilization of Deterministically Chaotic Systems by Interference and Quantum Measurements: The Ikeda Map Case
1998
Jun
10.1103/PhysRevLett.80.5730
Phys. Rev. Lett.
80
American Physical Society
5730--5733
https://link.aps.org/doi/10.1103/PhysRevLett.80.5730
M.
Fortunato
G.
Kurizki
W. P.
Schleich
article
BUZEK19981
Quantum statistics of grey-body radiation
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.
1998
0375-9601
https://doi.org/10.1016/S0375-9601(98)00074-7
Physics Letters A
239
1 - 5
1
http://www.sciencedirect.com/science/article/pii/S0375960198000747
V.
Bužek
D. S.
Krähmer
M. T.
Fontenelle
W. P.
Schleich
article
PhysRevLett.80.1418
Quantum State Holography
1998
Feb
10.1103/PhysRevLett.80.1418
Phys. Rev. Lett.
80
American Physical Society
1418--1421
https://link.aps.org/doi/10.1103/PhysRevLett.80.1418
C.
Leichtle
W. P.
Schleich
I. Sh.
Averbukh
M.
Shapiro
article
Quantum Carpets Made Simple
1998
0323-0465
Acta Phys. Slovaca
48
323-333
3
I.
Marzoli
F.
Saif
I.
Białynicki-Birula
O. M.
Friesch
A. E.
Kaplan
W. P.
Schleich
article
PhysRevA.57.3206
Modified spectral method in phase space: Calculation of the Wigner function. II. Generalizations
1998
May
10.1103/PhysRevA.57.3206
Phys. Rev. A
57
American Physical Society
3206--3224
https://link.aps.org/doi/10.1103/PhysRevA.57.3206
M.
Hug
C.
Menke
W. P.
Schleich
article
PhysRevA.57.3188
Modified spectral method in phase space: Calculation of the Wigner function. I. Fundamentals
1998
May
10.1103/PhysRevA.57.3188
Phys. Rev. A
57
American Physical Society
3188--3205
https://link.aps.org/doi/10.1103/PhysRevA.57.3188
M.
Hug
C.
Menke
W. P.
Schleich
article
Banaszek:98
Fractional Talbot effect in phase space: A compact summation formula
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.
1998
Mar
10.1364/OE.2.000169
Opt. Express
2
OSA
169--172
5
Talbot and self-imaging effects; Coherent optical effects; Fresnel diffraction; Interference; Kerr media; Phase space analysis methods; Spatial frequency; Talbot effect
http://www.opticsexpress.org/abstract.cfm?URI=oe-2-5-169
B.
Konrad
W.
Krzysztof
W. P.
Schleich
article
Kr_hmer_1998
Confined quantum systems: The parabolically confined hydrogen atom
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.
1998
may
10.1088/0305-4470/31/19/014
Journal of Physics A: Mathematical and General
31
{IOP} Publishing
4493--4520
19
https://doi.org/10.1088%2F0305-4470%2F31%2F19%2F014
D. S.
Krähmer
W. P.
Schleich
V. P.
Yakovlev
article
PhysRevA.58.4779
Fermi accelerator in atom optics
1998
Dec
10.1103/PhysRevA.58.4779
Phys. Rev. A
58
American Physical Society
4779--4783
https://link.aps.org/doi/10.1103/PhysRevA.58.4779
F.
Saif
I.
Białynicki-Birula
M.
Fortunato
W. P.
Schleich
article
BARDROFF1998121
Adaptive phase retrieval of nonlinear waves
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.
1998
0030-4018
https://doi.org/10.1016/S0030-4018(97)00655-X
Optics Communications
147
121 - 125
1
http://www.sciencedirect.com/science/article/pii/S003040189700655X
P. J.
Bardroff
U.
Leonhardt
W. P.
Schleich
article
PhysRevA.58.4841
Generic model of an atom laser
1998
Dec
10.1103/PhysRevA.58.4841
Phys. Rev. A
58
American Physical Society
4841--4853
https://link.aps.org/doi/10.1103/PhysRevA.58.4841
B.
Kneer
T.
Wong
K.
Vogel
W. P.
Schleich
D. F.
Walls
article
Hug_1998
How to calculate the Wigner function from phase space
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.
1998
mar
10.1088/0305-4470/31/11/002
Journal of Physics A: Mathematical and General
31
{IOP} Publishing
L217--L224
11
https://doi.org/10.1088%2F0305-4470%2F31%2F11%2F002
M.
Hug
C.
Menke
W. P.
Schleich
article
Kaplan_1998
Intermode Traces - Fundamental Interference Phenomenon in Quantum and Wave Physics
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.
1998
10.1238/Physica.Topical.076a00093
Physica Scripta
T76
{IOP} Publishing
93
1
https://doi.org/10.1238%2Fphysica.topical.076a00093
A. E.
Kaplan
P.
Stifter
K. A. H.
van Leeuwen
W. E.
Lamb, Jr.
W. P.
Schleich
article
PhysRevA.56.4164
Quantum theory of the mazer. III. Spectrum
1997
Nov
10.1103/PhysRevA.56.4164
Phys. Rev. A
56
American Physical Society
4164--4174
https://link.aps.org/doi/10.1103/PhysRevA.56.4164
M.
Schröder
K.
Vogel
W. P.
Schleich
M. O.
Scully
H.
Walther
article
Freyberger1997
True vision of a quantum state
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.
1997
1476-4687
10.1038/386121a0
Nature
386
121-122
6621
https://doi.org/10.1038/386121a0
M.
Freyberger
W. P.
Schleich
inbook
The Particle in the Box Revisited
1997
Frontiers of Quantum Optics and Laser Physics
World Scientific
Singapore
Y. S. Zhu, M. S. Zubairy and M. O. Scully
236-246
P.
Stifter
W. E.
Lamb, Jr.
W. P.
Schleich
article
Freyberger_1997
The art of measuring quantum states
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.
1997
nov
10.1088/2058-7058/10/11/31
Physics World
10
{IOP} Publishing
41--46
11
https://doi.org/10.1088%2F2058-7058%2F10%2F11%2F31
M.
Freyberger
P. J.
Bardroff
C.
Leichtle
G.
Schrade
W. P.
Schleich
article
Gro_mann_1997
Spacetime structures in simple quantum systems
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.
1997
may
10.1088/0305-4470/30/9/004
Journal of Physics A: Mathematical and General
30
{IOP} Publishing
L277--L283
9
https://doi.org/10.1088%2F0305-4470%2F30%2F9%2F004
F.
Großmann
J.-M.
Rost
W. P.
Schleich
article
Schaufler_1997
Scaling and asymptotic laws in subrecoil laser cooling
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 Lévy flights.
1997
aug
10.1209/epl/i1997-00366-3
Europhysics Letters (EPL)
39
{IOP} Publishing
383--388
4
https://doi.org/10.1209%2Fepl%2Fi1997-00366-3
S.
Schaufler
W. P.
Schleich
V. P.
Yakovlev
article
Review of Atom Optics in Quantized Light Fields
1997
Comments in Atomic and Molecular Physics
33
145-157
3
A. M.
Herkommer
W. P.
Schleich
article
Kienle1997
Reconstructing quantum states via quantum tomography and atom interferometry
1997
Dec
01
1432-0649
10.1007/s003400050340
Applied Physics B
65
735--743
6
https://doi.org/10.1007/s003400050340
S. H.
Kienle
D.
Fischer
W. P.
Schleich
V. P.
Yakovlev
M.
Freyberger
article
doi:10.1080/09500349708231860
Quantum-mechanical localization of an ion in a Paul trap
1997
10.1080/09500349708231860
Journal of Modern Optics
44
Taylor & Francis
1985-1998
10
M. El
Ghafar
E.
Mayr
V.
Savichev
P.
Törmä
A.
Zeiler
W. P.
Schleich
article
doi:10.1080/09500349708231897
Autler-Townes microscopy on a single atom
1997
10.1080/09500349708231897
Journal of Modern Optics
44
Taylor & Francis
2507-2513
11-12
A. M.
Herkommer
W. P.
Schleich
M. S.
Zubairy
inbook
Quantum Beam Tomography
1997
Experimental Metaphysics
Kluwer
Dordrecht
R.S. Cohen, M. Horne and J. Stachel
121-133
S. H.
Kienle
M.
Freyberger
W. P.
Schleich
M. G.
Raymer
article
GhafarApr1997
Dynamical localization of the vibrational quantum number in a Paul Trap
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)
1997
0323-0465
47
Slovakia
291-294
3/4
http://inis.iaea.org/search/search.aspx?orig_q=RN:29064045
M. El
Ghafar
K.
Riedel
P.
Törmä
V.
Savichev
E.
Mayr
A.
Zeiler
W. P.
Schleich
article
PhysRevLett.78.4181
Dynamical Localization in the Paul Trap
1997
Jun
10.1103/PhysRevLett.78.4181
Phys. Rev. Lett.
78
American Physical Society
4181--4184
https://link.aps.org/doi/10.1103/PhysRevLett.78.4181
M.
El Ghafar
P.
Törmä
V.
Savichev
E.
Mayr
A.
Zeiler
W. P.
Schleich
article
Das Teilchen im Kasten: Strukturen in der Wahrscheinlichkeitsdichte
1997
1865-7109
10.1515/zna-1997-0501
Zeitschrift für Naturforschung A
52
377-385
5
P.
Stifter
C.
Leichtle
W. P.
Schleich
J.
Marklof
article
PhysRevLett.78.1195
Comment on "Nature of Quantum Localization in Atomic Momentum Transfer Experiments''
1997
Feb
10.1103/PhysRevLett.78.1195
Phys. Rev. Lett.
78
American Physical Society
1195--1195
https://link.aps.org/doi/10.1103/PhysRevLett.78.1195
S.
Meneghini
P. J.
Bardroff
E.
Mayr
W. P.
Schleich
article
doi:10.1080/09500349708231886
Cavity field tomography via atomic beam deflection
1997
10.1080/09500349708231886
Journal of Modern Optics
44
Taylor & Francis
2333-2342
11-12
S.
Schneider
A. M.
Herkommer
U.
Leonhardt
W. P.
Schleich
article
PhysRevA.56.2972
Atom localization via Ramsey interferometry: A coherent cavity field provides a better resolution
1997
Oct
10.1103/PhysRevA.56.2972
Phys. Rev. A
56
American Physical Society
2972--2977
https://link.aps.org/doi/10.1103/PhysRevA.56.2972
Fam
Le Kien
G.
Rempe
W. P.
Schleich
M. S.
Zubairy
article
Schrade1997
Endoscopy in the Paul trap: The influence of the micromotion
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.
1997
Jan
01
1432-0649
10.1007/s003400050163
Applied Physics B
64
181--191
2
https://doi.org/10.1007/s003400050163
G.
Schrade
P. J.
Bardroff
R. J.
Glauber
C.
Leichtle
V.
Yakovlev
W. P.
Schleich
article
Kien_1997
Arc field states, photon statistics probes and quantum lenses: field evolution and atomic motion in a dispersive interaction model
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.
1997
feb
10.1088/1355-5111/9/1/006
Quantum and Semiclassical Optics: Journal of the European Optical Society Part B
9
{IOP} Publishing
69--101
1
https://doi.org/10.1088%2F1355-5111%2F9%2F1%2F006
Fam Le
Kien
K.
Vogel
W. P.
Schleich
inproceedings
10.1007/978-1-4757-9742-8_29
Quantum Phase
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.
1996
978-1-4757-9742-8
10.1007/978-1-4757-9742-8_29
Coherence and Quantum Optics VII
Springer US
Boston, MA
Eberly, Joseph H.
and Mandel, Leonard
and Wolf, Emil
239--249
M.
Heni
M.
Freyberger
W. P.
Schleich
article
Paul Trap Multi-Quantum Interactions
1996
Acta Phys. Slovaca
46
231-240
P. J.
Bardroff
C.
Leichtle
G.
Schrade
W. P.
Schleich
article
Schleich1897
Quantum Optics: Optical Coherence and Quantum Optics.
1996
0036-8075
10.1126/science.272.5270.1897-a
Science
272
American Association for the Advancement of Science
1897--1898
5270
W. P.
Schleich
inbook
Scully1996
The Correlated Spontaneous Emission Maser Gyroscope
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.
1996
978-1-4612-2378-8
10.1007/978-1-4612-2378-8_54
Springer
New York, NY
Chiao, Raymond Y.
573--583
https://doi.org/10.1007/978-1-4612-2378-8_54
M. O.
Scully
W. P.
Schleich
H.
Walther
inproceedings
ISI:A1996BG84V00008
Quantum phase, photon counting and EPR variables
1996
0-7503-0394-8
0309-8710
Israel Physical Society
Dilemma of Einstein, Podolsky and Rosen - 60 Years Later
12
Annals of the Israel Physical Society
A. Mann and M. Revzen
73-82
International Symposium on the Dilemma of Einstein, Podolsky and Rosen, in Honour of Nathan Rosen, HAIFA, ISRAEL, MAR, 1995
M. T.
Fontenelle
M.
Freyberger
M.
Heni
W. P.
Schleich
M. S.
Zubairy
inproceedings
10.1007/978-1-4757-9742-8_220
Simulation of Quantum State Endoscopy
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.
1996
978-1-4757-9742-8
10.1007/978-1-4757-9742-8_220
Coherence and Quantum Optics VII
Springer US
Boston, MA
J. H. Eberly, L. Mandel and E. Wolf
699--700
P. J.
Bardroff
E.
Mayr
W. P.
Schleich
P.
Domokos
M.
Brune
J. M.
Raimond
S.
Haroche
article
PhysRevA.53.2736
Simulation of quantum-state endoscopy
1996
Apr
10.1103/PhysRevA.53.2736
Phys. Rev. A
53
American Physical Society
2736--2741
https://link.aps.org/doi/10.1103/PhysRevA.53.2736
P. J.
Bardroff
E.
Mayr
W. P.
Schleich
P.
Domokos
M.
Brune
J. M.
Raimond
S.
Haroche
inproceedings
10.1007/978-1-4757-9742-8_166
Manipulation of Cavity Field States with Multi-Level Atoms
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.
1996
978-1-4757-9742-8
10.1007/978-1-4757-9742-8_166
Coherence and Quantum Optics VII
Springer US
Boston, MA
J. H. Eberly, L. Mandel and E. Wolf
589--590
K.
Vogel
W. P.
Schleich
G.
Kurizki
article
PhysRevA.54.5299
Multilevel quantum beats: An analytical approach
1996
Dec
10.1103/PhysRevA.54.5299
Phys. Rev. A
54
American Physical Society
5299--5312
https://link.aps.org/doi/10.1103/PhysRevA.54.5299
C.
Leichtle
I. Sh.
Averbukh
W. P.
Schleich
article
Quantum Control of Chaos Inside a Cavity
1996
Acta Phys. Slovaca
46
381-386
M.
Fortunato
W. P.
Schleich
G.
Kurizki
inproceedings
10.1007/978-1-4757-9742-8_144
Localization of Atoms by Homodyne Measurement
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.
1996
978-1-4757-9742-8
10.1007/978-1-4757-9742-8_144
Coherence and Quantum Optics VII
Springer US
Boston, MA
J. H. Eberly, L. Mandel and E. Wolf
543--544
A. M.
Herkommer
H. J.
Carmichael
W. P.
Schleich
article
Direct and Indirect Measures of Phase
1996
0323-0465
Acta Phys. Slovaca
46
373-379
M. T.
Fontenelle
S. L.
Braunstein
W. P.
Schleich
inbook
A Simple Quantum Mechanical Model of the Adiabatic-Feedback Measurement Method
1996
Quantum Interferometry II
VCH-Verlag
Weinheim
F. De Martini, G. Denardo and Y. Shih
451-459
M.
Schröder
K.
Vogel
W. P.
Schleich
F.
De Martini
article
Atom-Field Interactions and Dressed Atoms
1996
10.1002/phbl.19960520736
Phys. Bl.
52
736-737
7-8
Review of the book with the same title by G. Compagno, R. Passante, and F. Persico
W. P.
Schleich
inbook
Diffraction of Atomic Waves at a Phase Modulated Standing Light Field
1996
Quantum Interferometry II
VCH-Verlag
Weinheim
F. De Martini, G. Denardo and Y. Shih
413-427
E.
Mayr
V. P.
Yakovlev
W. P.
Schleich
article
Herkommer_1996
Localization of an atom by homodyne measurement
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.
1996
feb
10.1088/1355-5111/8/1/014
Quantum and Semiclassical Optics: Journal of the European Optical Society Part B
8
{IOP} Publishing
189--203
1
https://doi.org/10.1088%2F1355-5111%2F8%2F1%2F014
A. M.
Herkommer
H. J.
Carmichael
W. P.
Schleich
inproceedings
10.1007/978-1-4757-9742-8_146
Dynamical Localization in Atom Optics
We investigate the classical and quantum dynamics of atoms moving in a phase-modulated standing light field.
1996
978-1-4757-9742-8
10.1007/978-1-4757-9742-8_146
Coherence and Quantum Optics VII
Springer US
Boston, MA
J. H. Eberly, L. Mandel and E. Wolf
547--548
E.
Mayr
P. J.
Bardroff
D. S.
Krähmer
P.
Stifter
I.
Białynicki-Birula
V. P.
Yakovlev
G.
Kurizki
W. P.
Schleich
inproceedings
10.1007/978-1-4757-9742-8_153
Fractional Revivals
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.
1996
978-1-4757-9742-8
10.1007/978-1-4757-9742-8_153
Coherence and Quantum Optics VII
Springer US
Boston, MA
J. H. Eberly, L. Mandel and E. Wolf
561--562
C.
Leichtle
W. P.
Schleich
I. Sh.
Averbukh
article
PhysRevLett.77.3999
Generic Structure of Multilevel Quantum Beats
1996
Nov
10.1103/PhysRevLett.77.3999
Phys. Rev. Lett.
77
American Physical Society
3999--4002
https://link.aps.org/doi/10.1103/PhysRevLett.77.3999
C.
Leichtle
I. Sh.
Averbukh
W. P.
Schleich
article
PhysRevLett.77.2198
Endoscopy in the Paul Trap: Measurement of the Vibratory Quantum State of a Single Ion
1996
Sep
10.1103/PhysRevLett.77.2198
Phys. Rev. Lett.
77
American Physical Society
2198--2201
https://link.aps.org/doi/10.1103/PhysRevLett.77.2198
P. J.
Bardroff
C.
Leichtle
G.
Schrade
W. P.
Schleich
article
Freyberger_1995
Two-mode quantum phase
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.
1995
jun
10.1088/1355-5111/7/3/001
Quantum and Semiclassical Optics: Journal of the European Optical Society Part B
7
{IOP} Publishing
187--203
3
https://doi.org/10.1088%2F1355-5111%2F7%2F3%2F001
M.
Freyberger
M.
Heni
W. P.
Schleich
article
Schrade_1995
Wigner functions in the Paul trap
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.
1995
jun
10.1088/1355-5111/7/3/009
Quantum and Semiclassical Optics: Journal of the European Optical Society Part B
7
IOP Publishing
307--325
3
https://doi.org/10.1088%2F1355-5111%2F7%2F3%2F009
G.
Schrade
V. I.
Man'ko
W. P.
Schleich
R. J.
Glauber
article
Gallas1995
Waves at walls, corners, heights: Looking for simplicity
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.
1995
Feb
01
1432-0649
10.1007/BF01135875
Applied Physics B
60
279--287
2
https://doi.org/10.1007/BF01135875
J. A. C.
Gallas
W. P.
Schleich
J. A.
Wheeler
article
PhysRevA.51.4963
Quantum state endoscopy: Measurement of the quantum state in a cavity
1995
Jun
10.1103/PhysRevA.51.4963
Phys. Rev. A
51
American Physical Society
4963--4966
https://link.aps.org/doi/10.1103/PhysRevA.51.4963
P. J.
Bardroff
E.
Mayr
W. P.
Schleich
article
Quantum Optics
1995
10.1063/1.2808065
Physics Today
48
55-56
6
Review of book with the same title by D.F. Walls and G. Milburn
Phys. Today 48, (6) 55-56 (1995)
96. M.
W. P.
Schleich
article
doi:10.1111/j.1749-6632.1995.tb38995.x
Quantum Interference, State Engineering, and Quantum Eraser
1995
10.1111/j.1749-6632.1995.tb38995.x
Annals of the New York Academy of Sciences
755
545-559
1
https://nyaspubs.onlinelibrary.wiley.com/doi/abs/10.1111/j.1749-6632.1995.tb38995.x
D. S.
Krähmer
K.
Vogel
V. M.
Akulin
W. P.
Schleich
article
PhysRevA.51.1792
Phase distributions and large-amplitude states
1995
Mar
10.1103/PhysRevA.51.1792
Phys. Rev. A
51
American Physical Society
1792--1803
https://link.aps.org/doi/10.1103/PhysRevA.51.1792
M.
Hillery
M.
Freyberger
W.
Schleich
article
PhysRevLett.74.3959
Dynamical Localization: Classical vs Quantum Oscillations in Momentum Spread of Cold Atoms
1995
May
10.1103/PhysRevLett.74.3959
Phys. Rev. Lett.
74
American Physical Society
3959--3962
https://link.aps.org/doi/10.1103/PhysRevLett.74.3959
P. J.
Bardroff
I.
Białynicki-Birula
D. S.
Krähmer
G.
Kurizki
E.
Mayr
P.
Stifter
W. P.
Schleich
article
Bestle1995
Anti-stealth: WKB grapples with a corner
We show how the Wentzel-Kramers-Brillouin (WKB) approximation works for potentials with sharp corners.
1995
Feb
01
1432-0649
10.1007/BF01135876
Applied Physics B
60
289--299
2
https://doi.org/10.1007/BF01135876
J.
Bestle
W. P.
Schleich
J. A.
Wheeler
article
Mayr_Kraehmer_Herkommer_Akulin_Schleich_Averaukh_1994
Phase Space as Arena for Atomic Motion in a Quantized Light Field
1994
Jul
0587-4246
Acta Physica Polonica A
86
81–95
1
E.
Mayr
D.
Krähmer
V. M.
Akulin
A.
Herkommer
W. P.
Schleich
I. Sh.
Averbukh
article
PhysRevA.49.4101
Wigner distribution of a general angular-momentum state: Applications to a collection of two-level atoms
1994
May
10.1103/PhysRevA.49.4101
Phys. Rev. A
49
American Physical Society
4101--4109
https://link.aps.org/doi/10.1103/PhysRevA.49.4101
J. P.
Dowling
G. S.
Agarwal
W. P.
Schleich
article
doi:10.1080/09500349414551721
The Birth of a Phase-cat
1994
10.1080/09500349414551721
Journal of Modern Optics
41
Taylor & Francis
1765-1779
9
S.
Schaufler
M.
Freyberger
W. P.
Schleich
article
PhysRevLett.72.437
Quantum lens for atomic waves
1994
Jan
10.1103/PhysRevLett.72.437
Phys. Rev. Lett.
72
American Physical Society
437--441
https://link.aps.org/doi/10.1103/PhysRevLett.72.437
I. Sh.
Averbukh
V. M.
Akulin
W. P.
Schleich
article
PhysRevA.49.5056
Phase uncertainties of a squeezed state
1994
Jun
10.1103/PhysRevA.49.5056
Phys. Rev. A
49
American Physical Society
5056--5066
https://link.aps.org/doi/10.1103/PhysRevA.49.5056
M.
Freyberger
W.
Schleich
inproceedings
Photon Statistics of a Two-Mode Squeezed Vacuum
1994
Proceedings of the Third International Workshop on Squeezed States and Uncertainty Relations
NASA Conference Publication
Goddard Space Flight Center
M. H. Rubin and Y.-H. Shih
G.
Schrade
V. M.
Akulin
V. I.
Man'ko
W. P.
Schleich
article
Obituary Hannes Risken
1994
10.1063/1.2808653
Phys. Today
47
118
9
H.
Haken
W.
Schleich
H. D.
Vollmer
inbook
Meet a Squeezed State and Interfere in Phase Space
1994
Current Trends in Optics
II
Academic Press Boston
J. C. Dainty
37-50
D.
Krähmer
E.
Mayr
K.
Vogel
W. P.
Schleich
article
PhysRevA.49.1562
Feynman's approach to negative probability in quantum mechanics
1994
Mar
10.1103/PhysRevA.49.1562
Phys. Rev. A
49
American Physical Society
1562--1566
https://link.aps.org/doi/10.1103/PhysRevA.49.1562
M. O.
Scully
H.
Walther
W. P.
Schleich
article
PhysRevA.49.3127
Coherent evolution after the relaxation time
1994
Apr
10.1103/PhysRevA.49.3127
Phys. Rev. A
49
American Physical Society
3127--3130
https://link.aps.org/doi/10.1103/PhysRevA.49.3127
A. M.
Herkommer
V. M.
Akulin
W. P.
Schleich
inproceedings
10.1007/978-3-642-79101-7_10
Atom Optics in Quantized Light Fields
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.
1994
978-3-642-79101-7
Quantum Optics VI
Springer
Berlin, Heidelberg
D. F. Walls and J. D. Harvey
87--102
D. S.
Krähmer
A. M.
Herkommer
E.
Mayr
V. M.
Akulin
I. Sh.
Averbukh
T.
Leeuwen
V. P.
Yakovlev
W.
Schleich
article
At Home in the Universe
1994
Phys. Bl.
50
717
Review of book with the same title by J.A. Wheeler
W.
Schleich
article
Nachruf auf Hannes Risken
1994
Phys. Bl.
50
469
W.
Schleich
H. D.
Vollmer
article
Freyberger_1993
Quantum phase from photon counting and the Q-function
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.
1993
apr
10.1088/0954-8998/5/2/001
Quantum Optics: Journal of the European Optical Society Part B
5
{IOP} Publishing
65--67
2
https://doi.org/10.1088%2F0954-8998%2F5%2F2%2F001
M.
Freyberger
K.
Vogel
W.
Schleich
inproceedings
1993ssurwork29A
Wigner functions for nonclassical states of a collection of two-level atoms
1993
mar
Proceedings of the Second International Workshop on Squeezed States and Uncertainty Relations
Nasa Conference Publication
Goddard Space
Flight Center
D. Han, Y.S. Kim and V.I. Man'ko
329-339
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
G. S.
Agarwal
J. P.
Dowling
W. P.
Schleich
article
doi:10.1002/phbl.19930491213
Wie konstruiert man einen Quantenzustand?
Abstract Ein Forschungsschwerpunkt der Quantenoptik ist die Erzeugung von nichtklassischem Licht und das Studium seiner Eigenschaften. Die Herstellung solcher Zustände beschränkte sich bis jetzt auf einige typische Beispiele. Als Quantenoptiker wünscht man sich zu Weihnachten besonders „schöne”︁ Feldzustände, für die es nicht so ganz klar ist, wie man sie konstruieren kann. Um solchen Wünschen entgegenzukommen, beschreiben wir hier ein Verfahren, das es im Prinzip erlaubt, einen beliebigen Zustand für das elektromagnetische Feld aufzubauen. Wir veranschaulichen diese Methode am Beispiel eines Phasenzustands.
1993
10.1002/phbl.19930491213
Physikalische Blätter
49
1111-1112
12
https://onlinelibrary.wiley.com/doi/abs/10.1002/phbl.19930491213
K.
Vogel
V. M.
Akulin
W.
Schleich
article
Bialynicki_Birula_1993
Various measures of quantum phase uncertainty: a comparative study
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.
1993
jan
10.1088/0031-8949/1993/t48/017
Physica Scripta
T48
{IOP} Publishing
113--118
https://doi.org/10.1088%2F0031-8949%2F1993%2Ft48%2F017
I.
Białynicki-Birula
M.
Freyberger
W. P.
Schleich
article
PhysRevA.47.4258
Revivals made simple: Poisson summation formula as a key to the revivals in the Jaynes-Cummings model
1993
May
10.1103/PhysRevA.47.4258
Phys. Rev. A
47
American Physical Society
4258--4269
https://link.aps.org/doi/10.1103/PhysRevA.47.4258
M.
Fleischhauer
W. P.
Schleich
article
PhysRevLett.71.1816
Quantum state engineering of the radiation field
1993
Sep
10.1103/PhysRevLett.71.1816
Phys. Rev. Lett.
71
American Physical Society
1816--1819
https://link.aps.org/doi/10.1103/PhysRevLett.71.1816
K.
Vogel
V. M.
Akulin
W. P.
Schleich
inproceedings
Quantum State Engineering
1993
Symposium on the Foundations of Modern Physics
World Scientific
Singapore
P. Busch, P. Lahti and P. Mittelstaedt
369-377
K.
Vogel
V. M.
Akulin
W.
Schleich
article
Benedict1993
On the correspondence of semiclassical and quantum phases in cyclic evolutions
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.
1993
Mar
01
1572-9516
10.1007/BF01883719
Foundations of Physics
23
389--397
3
https://doi.org/10.1007/BF01883719
M. G.
Benedict
W.
Schleich
article
PhysRevA.48.2398
Photon statistics of a two-mode squeezed vacuum
1993
Sep
10.1103/PhysRevA.48.2398
Phys. Rev. A
48
American Physical Society
2398--2406
https://link.aps.org/doi/10.1103/PhysRevA.48.2398
G.
Schrade
V. M.
Akulin
V. I.
Man'ko
W. P.
Schleich
article
PhysRevA.47.R30
Photon counting, quantum phase, and phase-space distributions
1993
Jan
10.1103/PhysRevA.47.R30
Phys. Rev. A
47
American Physical Society
R30--R33
https://link.aps.org/doi/10.1103/PhysRevA.47.R30
M.
Freyberger
W.
Schleich
article
FREYBERGER199341
From photon counts to quantum phase
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.
1993
0375-9601
https://doi.org/10.1016/0375-9601(93)90313-O
Physics Letters A
176
41 - 46
1
http://www.sciencedirect.com/science/article/pii/037596019390313O
M.
Freyberger
K.
Vogel
W. P.
Schleich
article
doi:10.1002/phbl.19930491212
Die hohe Kunst der Zustandsmessung
Abstract Zwei wichtige Methoden, um den Zustand eines Quantensystems vollständig zu untersuchen, sind die „tomographische Methode”︁ und die „simultane Messung„. Mit ihnen lassen sich Phasenraumfunktionen rekonstruieren, die die volle Information über diesen Zustand enthalten.
1993
10.1002/phbl.19930491212
Physikalische Blätter
49
1109-1111
12
https://onlinelibrary.wiley.com/doi/abs/10.1002/phbl.19930491212
M.
Freyberger
W.
Schleich
article
PhysRevA.48.746
Classical and quantum stabilization of atoms in intense laser fields
1993
Jul
10.1103/PhysRevA.48.746
Phys. Rev. A
48
American Physical Society
746--751
https://link.aps.org/doi/10.1103/PhysRevA.48.746
J.
Bestle
V. M.
Akulin
W. P.
Schleich
article
PhysRevA.48.813
Calculation of the micromaser spectrum. II. Eigenvalue approach
1993
Jul
10.1103/PhysRevA.48.813
Phys. Rev. A
48
American Physical Society
813--817
https://link.aps.org/doi/10.1103/PhysRevA.48.813
K.
Vogel
W. P.
Schleich
M. O.
Scully
H.
Walther
article
PhysRevA.48.803
Calculation of the micromaser spectrum. I. Green's-function approach and approximate analytical techniques
1993
Jul
10.1103/PhysRevA.48.803
Phys. Rev. A
48
American Physical Society
803--812
https://link.aps.org/doi/10.1103/PhysRevA.48.803
Tran
Quang
G. S.
Agarwal
J.
Bergou
M. O.
Scully
H.
Walther
K.
Vogel
W. P.
Schleich
article
PhysRevA.46.5363
Unique Bell state
1992
Nov
10.1103/PhysRevA.46.5363
Phys. Rev. A
46
American Physical Society
5363--5366
https://link.aps.org/doi/10.1103/PhysRevA.46.5363
A.
Mann
M.
Revzen
W.
Schleich
article
PhysRevLett.69.3298
Quantum demolition measurement of photon statistics by atomic beam deflection
1992
Dec
10.1103/PhysRevLett.69.3298
Phys. Rev. Lett.
69
American Physical Society
3298--3301
https://link.aps.org/doi/10.1103/PhysRevLett.69.3298
A. M.
Herkommer
V. M.
Akulin
W. P.
Schleich
inproceedings
New laser gyros for tests of metric gravitation theories.
1992
Jan
Proceedings of the first William Fairbanks meeting on Relativity and Gravitational Experiments in Space
World Scientific
Singapur
R. Ruffini
Gravitation Theory: Tests
H.
Heitmann
W. P.
Schleich
M. O.
Scully
article
PhysRevA.45.6652
Phase from Q function via linear amplification
1992
May
10.1103/PhysRevA.45.6652
Phys. Rev. A
45
American Physical Society
6652--6654
https://link.aps.org/doi/10.1103/PhysRevA.45.6652
W.
Schleich
A.
Bandilla
H.
Paul
inbook
More on Interference in Phase Space
1992
Fundamental Systems in Quantum Optics
Elsevier
Amsterdam
J. Dalibard, J. M. Raimond and J. Zinn-Justin
713-765
K.
Vogel
W. P.
Schleich
article
BENARYEH1992259
Inhibition of atomic dipole collapses by squeezed light: a Jaynes-Cummings model treatment
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.
1992
0030-4018
https://doi.org/10.1016/0030-4018(92)90272-S
Optics Communications
90
259 - 264
4
http://www.sciencedirect.com/science/article/pii/003040189290272S
Y.
Ben-Aryeh
C. A.
Miller
H.
Risken
W.
Schleich
inproceedings
From the One-Atom Maser to Schrödinger Cats
1992
Proceedings of the 2nd Wigner Symposium
World Scientific
Singapur
H.D. Doebner, W. Scherer and F. Schroeck
91-103
K.
Vogel
W. P.
Schleich
G.
Süßmann
H.
Walther
article
AGARWAL1992359
Einstein-Podolsky-Rosen correlation - parallelism between the Wigner function and the local hidden variable approaches
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.
1992
0375-9601
https://doi.org/10.1016/0375-9601(92)90887-R
Physics Letters A
170
359 - 362
5
http://www.sciencedirect.com/science/article/pii/037596019290887R
G. S.
Agarwal
D.
Home
W.
Schleich
article
PhysRevA.46.4110
Landau-Zener transition to a decaying level
1992
Oct
10.1103/PhysRevA.46.4110
Phys. Rev. A
46
American Physical Society
4110--4113
https://link.aps.org/doi/10.1103/PhysRevA.46.4110
V. M.
Akulin
W. P.
Schleich
article
PhysRevA.44.5992
Micromaser spectrum
1991
Nov
10.1103/PhysRevA.44.5992
Phys. Rev. A
44
American Physical Society
5992--5996
https://link.aps.org/doi/10.1103/PhysRevA.44.5992
M. O.
Scully
H.
Walther
G. S.
Agarwal
Tran
Quang
W.
Schleich
article
doi:10.1002/phbl.19910470707
Vom Ätherwind zu neuem Licht
Abstract „Erst die Theorie entscheidet darüber, was man beobachten kann.”︁ Diese Bemerkung richtete Albert Einstein im Frühjahr 1926 an Werner Heisenberg im Anschluß an dessen Kolloquiumsvortrag in Berlin. Damals galt es einen scheinbaren Widerspruch zwischen Theorie und Experiment aufzulösen: 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 Auflösung 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 über die prinzipielle Beobachtbarkeit einer winzigen Gravitationswelleninduzierten Phasenverschiebung. Dies hat die Entwicklung quantenrausch-verminderter Zustände des Strahlungsfeldes, der gequetschten (engl. squeezed) Zustände, motiviert und ein neues Gebiet der Quantenoptik geschaffen. Ähnlich haben die Überlegungen, die Existenz von bevorzugten Bezugsystemen und von Mitführeffekten mittels des Sagnac-Effektes nachweisen zu wollen, auf einen neuen Typ von Laser geführt, der frei von spontaner Emission ist. – In der vorliegenden Arbeit wollen wir diesen Weg vom Sagnac-Effekt, der ursprünglich als Äthernachweis konzipiert war, zu squeezed Zuständen 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 Abschluß unserer Wanderung vom Ätherwind zu neuem Licht.
1991
10.1002/phbl.19910470707
Physikalische Blätter
47
595-601
7
https://onlinelibrary.wiley.com/doi/abs/10.1002/phbl.19910470707
W. P.
Schleich
article
PhysRevA.44.7642
Phase distribution of a quantum state without using phase states
1991
Dec
10.1103/PhysRevA.44.7642
Phys. Rev. A
44
American Physical Society
7642--7646
https://link.aps.org/doi/10.1103/PhysRevA.44.7642
W.
Vogel
W.
Schleich
article
PhysRevA.44.2172
Nonclassical state from two pseudoclassical states
1991
Aug
10.1103/PhysRevA.44.2172
Phys. Rev. A
44
American Physical Society
2172--2187
https://link.aps.org/doi/10.1103/PhysRevA.44.2172
W.
Schleich
M.
Pernigo
Fam Le
Kien
article
PhysRevA.43.3854
Photon statistics of two-mode squeezed states and interference in four-dimensional phase space
1991
Apr
10.1103/PhysRevA.43.3854
Phys. Rev. A
43
American Physical Society
3854--3861
https://link.aps.org/doi/10.1103/PhysRevA.43.3854
C. M.
Caves
Ch.
Zhu
G. J.
Milburn
W.
Schleich
article
doi:10.1002/andp.19915030702
Interference in Phase Space
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.
1991
978-3-540-47901-7
10.1002/andp.19915030702
The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function
Annalen der Physik
503
Springer Berlin Heidelberg
Berlin, Heidelberg
Kim, Y. S.
and Zachary, W. W.
423-478
7
https://onlinelibrary.wiley.com/doi/abs/10.1002/andp.19915030702
J. P.
Dowling
W. P.
Schleich
J. A.
Wheeler
article
PhysRevA.44.3365
Exponential decrease in phase uncertainty
1991
Sep
10.1103/PhysRevA.44.3365
Phys. Rev. A
44
American Physical Society
3365--3368
https://link.aps.org/doi/10.1103/PhysRevA.44.3365
W. P.
Schleich
J. P.
Dowling
R. J.
Horowicz
article
PhysRevA.44.R1462
Deflection of atoms by a quantum field
1991
Aug
10.1103/PhysRevA.44.R1462
Phys. Rev. A
44
American Physical Society
R1462--R1465
https://link.aps.org/doi/10.1103/PhysRevA.44.R1462
V. M.
Akulin
Fam Le
Kien
W. P.
Schleich
article
A Jump Shot at the Wigner Distribution
1991
10.1063/1.2810308
Phys. Today
10
44
146-148
W. P.
Schleich
G.
Süßmann
inproceedings
A Gaussian Measure of Quantum Phase Noise
1991
Proceedings of the Workshop on Squeezed States and Uncertainty Relations
Nasa Conference Publication
Goddard Space Flight Center
D. Han, Y.S. Kim and W. W. Zachary
299-309
W. P.
Schleich
J. P.
Dowling
R. J.
Horowicz
article
refId0
The 1989 Nobel Prize. Ion Traps, an Isolated Electron
and Atomic Clocks
1990
10.1051/epn/19902102031
Europhys. News
21
31-33
2
https://doi.org/10.1051/epn/19902102031
W.
Schleich
H.
Walther
article
PhysRevA.42.1503
Quantum-noise suppression in lasers via memory-correlation effects
1990
Aug
10.1103/PhysRevA.42.1503
Phys. Rev. A
42
American Physical Society
1503--1514
https://link.aps.org/doi/10.1103/PhysRevA.42.1503
C.
Benkert
M. O.
Scully
W.
Schleich
A. A.
Rangwala
article
PhysRevA.42.1703
Quantum superpositions generated by quantum nondemolition measurements
1990
Aug
10.1103/PhysRevA.42.1703
Phys. Rev. A
42
American Physical Society
1703--1711
https://link.aps.org/doi/10.1103/PhysRevA.42.1703
B.
Yurke
W.
Schleich
D. F.
Walls
article
Ordnung und Chaos in der Paul-Falle
1990
Spektrum der Wissenschaft
106
W.
Quint
W.
Schleich
H.
Walther
inbook
doi:10.1142/9789812819895_0035
Quantum Effects in Single-Atom and Single-Photon Experiments
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.
1990
978-1-4684-1342-7
10.1142/9789812819895_0035
Foundations of Quantum Mechanics in the Light of New Technology
Springer US
Boston, MA
W. Demtröder and M. Inguscio
336-346
https://doi.org/10.1007/978-1-4684-1342-7_2
G.
Rempe
W.
Schleich
M. O.
Scully
H.
Walther
article
PhysRevA.41.3950
Noise-color-induced quenching of fluctuations in a correlated spontaneous-emission laser model
1990
Apr
10.1103/PhysRevA.41.3950
Phys. Rev. A
41
American Physical Society
3950--3959
https://link.aps.org/doi/10.1103/PhysRevA.41.3950
R. G. K.
Habiger
H.
Risken
M.
James
F.
Moss
W.
Schleich
inbook
Asymptotology in Quantum Optics
1990
New Frontiers in QED and Quantum Optics
Plenum Press
New York
A. Barut
31-61
W.
Schleich
J. P.
Dowling
R. J.
Horowicz
S.
Varro
article
doi:10.1002/andp.19905020805
A Heuristic Analysis of Quantum Noise Quenching in the Two-Photon Correlated Emission Laser
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.
1990
10.1002/andp.19905020805
Annalen der Physik
502
649-658
8
https://onlinelibrary.wiley.com/doi/abs/10.1002/andp.19905020805
C.
Benkert
W.
Schleich
M. O.
Scully
inbook
Orszag1989
The Correlated Spontaneous Emission Laser: Theory and Recent Developments
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.
1989
978-1-4757-6574-8
10.1007/978-1-4757-6574-8_21
Squeezed and Non-Classical Light
190
Springer US
Boston, MA
NATO ASI Series (Series B: Physics)
P. Tombesi and E. R. Pike
287--299
https://doi.org/10.1007/978-1-4757-6574-8_21
M.
Orszag
J.
Bergou
W.
Schleich
M. O.
Scully
inproceedings
Phase Transitions of Stored Laser-Cooled Ions
1989
Proceedings of the Eleventh International Conference on Atomic Physics
World Scientific
Singapur
S. Haroche, J.C. Gay and G. Grynberg
243-259
R.
Blümel
J. M.
Chen
F.
Diedrich
E.
Peik
W.
Quint
W.
Schleich
Y. R.
Shen
H.
Walther
inbook
Schleich1989
Phase Space, Correspondence Principle and Dynamical Phases: Photon Count Probabilities of Coherent and Squeezed States via Interfering Areas in Phase Space
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.
1989
978-1-4757-6574-8
10.1007/978-1-4757-6574-8_10
Squeezed and Non-Classical Light
190
Springer US
Boston, MA
NATO ASI Series (Series B: Physics)
P. Tombesi and E. R. Pike
129--149
https://doi.org/10.1007/978-1-4757-6574-8_10
W. P.
Schleich
article
Qunit_1989
Order and chaos with frozen ions
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.
1989
aug
10.1088/2058-7058/2/8/22
Physics World
2
{IOP} Publishing
30--34
8
https://doi.org/10.1088%2F2058-7058%2F2%2F8%2F22
W.
Quint
W.
Schleich
H.
Walther
article
Le piégeage des ions
1989
La Recherche
20
1194-1203
W.
Quint
W.
Schleich
H.
Walther
inproceedings
1989nnds....2..271V
Noise in a ring-laser gyroscope
1989
Noise in nonlinear dynamical systems
2
Cambridge University Press
Cambridge and New York
F. Moss and P.V.E. McClintock
271-292
Laser Gyroscopes, Noise Spectra, Ring Lasers, White Noise, Beat Frequencies, Fokker-Planck Equation, Langevin Formula, Laser Interferometry, Wave Propagation
K.
Vogel
H.
Risken
W.
Schleich
article
PhysRevA.40.7405
Bifurcation in the phase probability distribution of a highly squeezed state
1989
Dec
10.1103/PhysRevA.40.7405
Phys. Rev. A
40
American Physical Society
7405--7408
https://link.aps.org/doi/10.1103/PhysRevA.40.7405
W.
Schleich
R. J.
Horowicz
S.
Varro
inproceedings
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
1989
978-3-642-74953-7
0930-8989
Quantum Optics V
Proceedings of the Fifth International Symposium Rotorua, New Zealand, February 13–17, 1989
41
Springer
Berlin, Heidelberg
Springer Proceedings in Physics
J.D. Harvey and D. F. Walls
133-142
W.
Schleich
R. J.
Horowicz
S.
Varro
inproceedings
A Physical Picture of the Two-Photon Correlated Spontaneous Emission Laser
1989
Proceedings of the Eleventh International Conference on Atomic Physics
World Scientific
Singapur
S. Haroche, J.C. Gay and G. Grynberg
457-465
C.
Benkert
W.
Schleich
M. O.
Scully
article
Schleich1989
Humpty Dumpty to Moslem art
1989
1476-4687
10.1038/339257a0
Nature
339
257-258
6222
https://doi.org/10.1038/339257a0
W.
Schleich
P. V. E.
McClintock
article
Schleich1988
Area in phase space as determiner of transition probability: Bohr-Sommerfeld bands, Wigner ripples, and Fresnel zones
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.
1988
Oct
01
1572-9516
10.1007/BF01909932
Found. Phys.
18
953--968
10
https://doi.org/10.1007/BF01909932
W.
Schleich
H.
Walther
J. A.
Wheeler
article
PhysRevA.38.1177
Area of overlap and interference in phase space versus Wigner pseudoprobabilities
1988
Aug
10.1103/PhysRevA.38.1177
Phys. Rev. A
38
American Physical Society
1177--1186
https://link.aps.org/doi/10.1103/PhysRevA.38.1177
W.
Schleich
D. F.
Walls
J. A.
Wheeler
article
Bluemel1988
Phase transitions of stored laser-cooled ions
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.
1988
1476-4687
10.1038/334309a0
Nature
334
309-313
6180
https://doi.org/10.1038/334309a0
R.
Blümel
J. M.
Chen
E.
Peik
W.
Quint
W.
Schleich
Y. R.
Shen
H.
Walther
article
PhysRevA.37.1261
Quantum-noise quenching in the correlated spontaneous-emission laser as a multiplicative noise process. I. A geometrical argument
1988
Feb
10.1103/PhysRevA.37.1261
Phys. Rev. A
37
American Physical Society
1261--1269
https://link.aps.org/doi/10.1103/PhysRevA.37.1261
W.
Schleich
M. O.
Scully
article
PhysRevA.37.3010
Quantum-noise quenching in the correlated spontaneous-emission laser as a multiplicative noise process. II. Rigorous analysis including amplitude noise
1988
Apr
10.1103/PhysRevA.37.3010
Phys. Rev. A
37
American Physical Society
3010--3017
https://link.aps.org/doi/10.1103/PhysRevA.37.3010
W.
Schleich
M. O.
Scully
H.-G.
Garssen
article
Schleich1987
Oscillations in photon distribution of squeezed states and interference in phase space
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.
1987
1476-4687
10.1038/326574a0
Nature
326
574-577
6113
https://doi.org/10.1038/326574a0
W.
Schleich
J. A.
Wheeler
inproceedings
10.1007/978-3-540-47973-4_35
Tests of General Relativity and the Correlated Emission Laser
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.
1987
978-3-540-47973-4
10.1007/978-3-540-47973-4_35
Laser Spectroscopy VIII
Springer Series in Optical Sciences
55
Springer
Berlin, Heidelberg
W. Persson and S. Svanberg
139--142
J.
Gea-Banacloche
W.
Schleich
M. O.
Scully
article
PhysRevA.35.463
Skewed probability densities in the ring laser gyroscope: A colored noise effect
1987
Jan
10.1103/PhysRevA.35.463
Phys. Rev. A
35
American Physical Society
463--465
https://link.aps.org/doi/10.1103/PhysRevA.35.463
K.
Vogel
H.
Risken
W.
Schleich
M.
James
F.
Moss
P. V. E.
McClintock
inproceedings
Single Atom and Single Photon Experiments
1987
Foundations of quantum mechanics in the light of new technology, Proceedings of the Second International Symposium on Foundations of Quantum Mechanics
Physical Society of Japan
Tokyo
K. Kamiyama
25--35
W.
Schleich
H.
Walther
article
PhysRevA.35.4882
Locking equation with colored noise: Continued fraction solution versus decoupling theory
1987
Jun
10.1103/PhysRevA.35.4882
Phys. Rev. A
35
American Physical Society
4882--4885
https://link.aps.org/doi/10.1103/PhysRevA.35.4882
K.
Vogel
Th.
Leiber
H.
Risken
P.
Hänggi
W.
Schleich
article
Schleich:87
Oscillations in photon distribution of squeezed states
We show that the photon distribution of a highly squeezed state exhibits oscillations.
1987
Oct
10.1364/JOSAB.4.001715
J. Opt. Soc. Am. B
4
OSA
1715--1722
10
Coherent states; Mathematical methods; Phase space analysis methods; Photons; Quantum fluctuations; Squeezed states
http://josab.osa.org/abstract.cfm?URI=josab-4-10-1715
W.
Schleich
J. A.
Wheeler
inbook
PhaseSpace1987
Interference in Phase Space
1987
978-3-540-47901-7
10.1007/3-540-17894-5_346
The Physics of Phase Space Nonlinear Dynamics and Chaos Geometric Quantization, and Wigner Function
278
Springer
Berlin, Heidelberg
Lecture Notes in Physics
Y.S. Kim and W.W. Zachary
W.
Schleich
J. A.
Wheeler
article
PhysRevA.35.2532
Delayed-choice experiments in quantum interference
1987
Mar
10.1103/PhysRevA.35.2532
Phys. Rev. A
35
American Physical Society
2532--2541
https://link.aps.org/doi/10.1103/PhysRevA.35.2532
T.
Hellmuth
H.
Walther
A.
Zajonc
W.
Schleich
article
doi:10.1063/1.339751
Colored noise in the ring‐laser gyroscope: Theory and simulation
1987
10.1063/1.339751
J. Appl. Phys.
62
721-723
2
K.
Vogel
H.
Risken
W.
Schleich
M.
James
F.
Moss
R.
Mannella
P. V. E.
McClintock
inproceedings
pedrotti1985
Laser Probes Of General Relativity
1986
10.1117/12.976087
Proceedings of the Southwest Conference on Optics, Albuquerque 1985
0540
SPIE
Bellingham
S. Stotlar
L. M.
Pedrotti
W.
Schleich
M. O.
Scully
inbook
Schleich1986
Nonequilibrium Statistical Physics in a Dithered Ring Laser Gyroscope or Quantum Noise in Pure and Applied Physics
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.
1986
978-1-4613-2181-1
10.1007/978-1-4613-2181-1_27
Frontiers of Nonequilibrium Statistical Physics
135
Springer US
Boston, MA
NATO ASI Series (Series B: Physics)
G.T. Moore and M. O. Scully
385--408
https://doi.org/10.1007/978-1-4613-2181-1_27
W.
Schleich
P.
Dobiasch
V. E.
Sanders
M. O.
Scully
article
RevModPhys.57.61
The ring laser gyro
1985
Jan
10.1103/RevModPhys.57.61
Rev. Mod. Phys.
57
American Physical Society
61--104
https://link.aps.org/doi/10.1103/RevModPhys.57.61
W. W.
Chow
J.
Gea-Banacloche
V. E.
Sanders
W.
Schleich
M. O.
Scully
inproceedings
Scully:1982fn
General Relativity and Modern Optics
1984
New Trends in Atomic Physics
Proceedings of the Les Houches Summer School, Session XXXVIII, 1982
North Holland Physics Publ.
Amsterdam
R. Stora and G. Grynberg
995-1124
W.
Schleich
M. O.
Scully
article
SCHLEICH198463
Noise analysis of ring-laser gyroscope with arbitrary dither
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 ⤤Æ↩F↩t in terms of infinite matrix continued fractions is obtained. The results are applied to a square-wave dithered gyroscope.
1984
0030-4018
https://doi.org/10.1016/0030-4018(84)90074-9
Opt. Commun.
52
63 - 68
1
http://www.sciencedirect.com/science/article/pii/0030401884900749
W.
Schleich
P.
Dobiasch
article
PhysRevA.29.230
Quantum noise in a dithered-ring-laser gyroscope
1984
Jan
10.1103/PhysRevA.29.230
Phys. Rev. A
29
American Physical Society
230--238
https://link.aps.org/doi/10.1103/PhysRevA.29.230
W.
Schleich
C.-S.
Cha
J. D.
Cresser
inproceedings
10.1007/978-1-4757-0605-5_135
Quantum Noise in Ring-Laser Gyroscopes
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.
1984
978-1-4757-0605-5
10.1007/978-1-4757-0605-5_135
Coherence and Quantum Optics V
Springer US
Boston, MA
L. Mandel and E. Wolf
915--922
W.
Schleich
M. O.
Scully
V.
Sanders
article
PhysRevA.25.2214
Quantum noise in ring-laser gyros. I. Theoretical formulation of problem
1982
Apr
10.1103/PhysRevA.25.2214
Phys. Rev. A
25
American Physical Society
2214--2225
https://link.aps.org/doi/10.1103/PhysRevA.25.2214
J. D.
Cresser
W. H.
Louisell
P.
Meystre
W.
Schleich
M. O.
Scully