TY - CHAP
T1 - A Pseudoclassical Method for the Atom-Optics Kicked Rotor. from Theory to Experiment and Back
AU - Sadgrove, Mark
AU - Wimberger, Sandro
N1 - Funding Information:
The work reported in this review was supported by the Alexander von Humboldt Foundation, the Heidelberg Centre for Quantum Dynamics, the Excellence Initiative by the German Research Foundation (DFG) through the Heidelberg Graduate School of Fundamental Physics (Grant No. GSC 129/1), the Frontier Innovation Fonds and the Global Networks Mobility Measures of the University of Heidelberg. We are indebted to Ken'ichi Nakagawa and the staff of the Institute for Laser Science for their support and hospitality. S.W. is grateful to the Heidelberg Academy of Sciences and Humanities for the Academy Award 2010 and to the Hengstberger Foundation for support by the Klaus-Georg and Sigrid Hengstberger Prize 2009. Finally, we would like to warmly thank our collaborators, Andreas Buchleitner, Italo Guarneri, Shmuel Fishman, Scott Parkins, Rainer Leonhardt, Terry Mullins, Andrew Hilliard, Roberto Artuso, Michael d'Arcy, Gil Summy, Riccardo Mannella, Andrea Tomadin, Angelo Facchini, Martina Abb, Benedikt Probst, Torben Schell and Remy Dubertrand, for their help in pushing forward research based on the AOKR system.
PY - 2011
Y1 - 2011
N2 - We review the concept and applications of a semiclassical (ε-classical or pseudoclassical) approximation to the resonant dynamics of an atom "kicked" by a pulsed, periodic potential. This powerful method allows us to derive analytical results in the deep quantum limit of the kicked rotor. Additionally, classical phase space portraits may be used to represent the dynamics even though the system is fundamentally quantum mechanical. The technique has been successfully adapted for systems including noise and decoherence, as well as systems for which the initial state is a trivial quantum superposition (leading to directed transport at quantum resonance). For almost a decade, theoretical investigations and experimental investigations have been proceeding hand-in-hand in this field, which has been stimulated regularly by experimental progress in controlling driven dynamical systems. Here, we review both theoretical and experimental advances, which in turn may inspire future applications of the presented pseudoclassical method.
AB - We review the concept and applications of a semiclassical (ε-classical or pseudoclassical) approximation to the resonant dynamics of an atom "kicked" by a pulsed, periodic potential. This powerful method allows us to derive analytical results in the deep quantum limit of the kicked rotor. Additionally, classical phase space portraits may be used to represent the dynamics even though the system is fundamentally quantum mechanical. The technique has been successfully adapted for systems including noise and decoherence, as well as systems for which the initial state is a trivial quantum superposition (leading to directed transport at quantum resonance). For almost a decade, theoretical investigations and experimental investigations have been proceeding hand-in-hand in this field, which has been stimulated regularly by experimental progress in controlling driven dynamical systems. Here, we review both theoretical and experimental advances, which in turn may inspire future applications of the presented pseudoclassical method.
KW - (ultra)cold atoms
KW - Noise and decoherence
KW - Nonlinear dynamics
KW - Quantum kicked rotor
KW - Semi-classical methods
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U2 - 10.1016/B978-0-12-385508-4.00007-3
DO - 10.1016/B978-0-12-385508-4.00007-3
M3 - Chapter
AN - SCOPUS:80053536576
T3 - Advances in Atomic, Molecular and Optical Physics
SP - 315
EP - 369
BT - Advances in Atomic, Molecular and Optical Physics
PB - Academic Press Inc.
ER -