Pseudoclassical Dynamics of the Kicked Top

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 extend...

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Published inEntropy (Basel, Switzerland) Vol. 24; no. 8; p. 1092
Main Authors Zou, Zhixing, Wang, Jiao
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.08.2022
MDPI
Subjects
Coordinate transformations
dynamical entanglement
Hilbert space
Investigations
kicked top model
Localization
pseudoclassical limit
quantum resonance
Quantum theory
Rotors
Synchronism
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Summary: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.
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ISSN:1099-4300
1099-4300
DOI:10.3390/e24081092