A Pseudoclassical Method for the Atom-Optics Kicked Rotor. from Theory to Experiment and Back

Mark Sadgrove, Sandro Wimberger

Research output: Chapter in Book/Report/Conference proceedingChapter

36 Citations (Scopus)

Abstract

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.

Original languageEnglish
Title of host publicationAdvances in Atomic, Molecular and Optical Physics
PublisherAcademic Press Inc.
Pages315-369
Number of pages55
DOIs
Publication statusPublished - 2011

Publication series

NameAdvances in Atomic, Molecular and Optical Physics
Volume60
ISSN (Print)1049-250X

Keywords

  • (ultra)cold atoms
  • Noise and decoherence
  • Nonlinear dynamics
  • Quantum kicked rotor
  • Semi-classical methods

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Electronic, Optical and Magnetic Materials

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