Time evolution and Berry phases of a time-dependent oscillator in finite-dimensional Hilbert space

Authors
Li, ZJ Cheng, JG Liang, JQ
Citation
Zj. Li et al., Time evolution and Berry phases of a time-dependent oscillator in finite-dimensional Hilbert space, ACT PHY C E, 49(1), 2000, pp. 11-16
Citations number
11
Categorie Soggetti
Physics
Journal title
ACTA PHYSICA SINICA
ISSN journal
10003290 → ACNP
Volume
49
Issue
1
Year of publication
2000
Pages
11 - 16
Database
ISI
SICI code
1000-3290(200001)49:1<11:TEABPO>2.0.ZU;2-8
Abstract
In this paper, we investigate the time evolution of a time-dependent oscill ator in finite-dimensional Hilbert space. By performing appropriate time-de pendent gauge transformation, dosed formulas for the time evolution of quan tum states and Berry phases are obtained. Finally, we discuss the influence of the driving term in the Hamiltonian on the squeezed feature of coherent states.