Nonadiabatic Geometric Phase and Hannay Angle: A Squeezed State Approach
Condensed Matter
2009-10-31 v1 chao-dyn
Chaotic Dynamics
Quantum Physics
Abstract
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. A class of cyclic states are expressed as a superposition of an infinte number of squeezed states. Then, their geometric phases are obtained explicitly and found to be times the classical nonadiabatic Hannay angle. It is shown that the analysis based on squeezed state approach provide a clear picture of the geometric meaning of the quantal phase.
Cite
@article{arxiv.cond-mat/9808084,
title = {Nonadiabatic Geometric Phase and Hannay Angle: A Squeezed State Approach},
author = {Jie Liu and Bambi Hu and Baowen Li},
journal= {arXiv preprint arXiv:cond-mat/9808084},
year = {2009}
}
Comments
4 Revtex pages, accepted for publication in Phys. Rev. Let.