1998/06/23 by Jie Liu, Bambi Hu, Baowen Li
Physics and Astronomy · #Advanced Chemical Physics Studies #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #chao-dyn #cond-mat #nlin.CD #quant-ph
paper · pdf · doi:10.1103/physreva.58.3448
16 Revtex pages, no figure. Submitted to PRA
arxiv created 1998/06/23 · openalex publication_date 1998/11/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The geometric phases of the cyclic states of a generalized harmonic oscillator with nonadiabatic time-periodic parameters are discussed in the framework of squeezed state. It is shown that the cyclic and quasicyclic squeezed states correspond to the periodic and quasiperiodic solutions of an effective Hamiltonian defined on an extended phase space, respectively. The geometric phase of the cyclic squeezed state is found to be a phase-space area swept out by a periodic orbit. Furthermore, a class of cyclic states is expressed as a superposition of an infinite number of squeezed states. Their geometric phases are found to be independent of \ensuremath\Elzxh, and equal to \ensuremath-(n+1/2) times the classical nonadiabatic Hannay angle.