Squeezed state dynamics of kicked quantum systems

1998/03/31 by Bambi Hu, Baowen Li, Jie Liu +2 · 2 citations
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #chao-dyn #cond-mat #nlin.CD

paper · pdf · doi:10.1103/physreve.58.1743

Publication version, to appear in PRE Vol. 58 No.2, 23 Revtex pages, 17 Eps figures

arxiv created 1998/06/19 · openalex publication_date 1998/08/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study kicked quantum systems by using the squeezed state approach. Taking the kicked quantum harmonic oscillator as an example, we demonstrate that chaos in an underlying classical system can be enhanced as well as suppressed by quantum fluctuations. Three different energy diffusions are observed in the kicked quantum harmonic oscillator, namely, localization, linear diffusion, and quadratic diffusion.

Citations

• Coherent states: Theory and some applications
• A universal instability of many-dimensional oscillator systems

Cited by

• Nonadiabatic geometric phase for the cyclic evolution of a time-dependent Hamiltonian system
• Transition to Instability in a Kicked Bose-Einstein Condensate