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Nonadiabatic Geometric Phase and Hannay Angle: A Squeezed State Approach

Jie Liu·Bambi Hu·Baowen Li
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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 $-(n+1/2)$ 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.

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Jie Liu, Bambi Hu, Baowen Li. 1998-08-08. Nonadiabatic Geometric Phase and Hannay Angle: A Squeezed State Approach. https://doi.org/10.1103/physrevlett.81.1749

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