Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2401.15823 · Science China Physics Mechanics and Astronomy

A pseudoclassical theory for the wavepacket dynamics of the kicked rotor model

Zhixing Zou, Jiao Wang

Published Jan 24, 2024• 3 citations
arXivHTMLPDF
DOI
10.1007/s11433-023-2279-6

Related papers

Dynamical Many-Body Localization in a System of Coupled Relativistic Kicked Rotors

Efim B. Rozenbaum, Victor M. Galitski

Bulletin of the American Physical Society•Mar 15, 2016•0 citations

Classical Aspects of Wavepacket Dynamics

Mordechai Bixon

Jerusalem Symposia on Quantum Chemistry and Biochemistry•Jan 1, 1982•3 citations

Pseudoclassical Dynamics of the Kicked Top

Zhixing Zou, Jiao Wang

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.

arXiv:2209.01364•Entropy•Aug 9, 2022•9 citations

Superballistic wavepacket spreading in double kicked rotors

Ping Fang, Jiao Wang

Abstract We investigate possible ways in which a quantum wavepacket spreads. We show that in a general class of double kicked rotor system, a wavepacket may undergo superballistic spreading; i.e., its variance increases as the cubic of time. The conditions for the observed superballistic spreading and two related characteristic time scales are studied. Our results suggest that the symmetry of the studied model and whether it is a Kolmogorov-Arnold-Moser system are crucial to its wavepacket spreading behavior. Our study also sheds new light on the exponential wavepacket spreading phenomenon previously observed in the double kicked rotor system.

arXiv:1605.07452•Science China Physics Mechanics and Astronomy•May 16, 2016•4 citations

Quantum Potential and Chaos of the Kicked Rotor

Yindong Zheng, Donald H. Kobe

Bulletin of the American Physical Society•Mar 5, 2005•1 citation

WAVEPACKET APPROACHES TO DISSIPATIVE QUANTUM DYNAMICS

Fausto Martelli

•Dec 14, 2010•0 citations
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.
Abstract We investigate possible ways in which a quantum wavepacket spreads. We show that in a general class of double kicked rotor system, a wavepacket may undergo superballistic spreading; i.e., its variance increases as the cubic of time. The conditions for the observed superballistic spreading and two related characteristic time scales are studied. Our results suggest that the symmetry of the studied model and whether it is a Kolmogorov-Arnold-Moser system are crucial to its wavepacket spreading behavior. Our study also sheds new light on the exponential wavepacket spreading phenomenon previously observed in the double kicked rotor system.