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Advances in atomic, molecular, and optical physics

A Pseudoclassical Method for the Atom-Optics Kicked Rotor

Mark Sadgrove, Sandro Wimberger

Published Jan 1, 2011• 47 citations
Publisher
DOI
10.1016/b978-0-12-385508-4.00007-3

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The kicked rotor and the kicked top are two paradigms of quantum chaos. The notions of quantum resonance and the pseudoclassical limit, developed in the study of the kicked rotor, have revealed an intriguing and unconventional aspect of classical-quantum correspondence. Here, we show that, by extending these notions to the kicked top, its rich dynamical behavior can be appreciated more thoroughly; of special interest is the entanglement entropy. In particular, the periodic synchronization between systems subject to different kicking strength can be conveniently understood and elaborated from the pseudoclassical perspective. The applicability of the suggested general pseudoclassical theory to the kicked rotor is also discussed.