Nonadiabatic geometric phase and hannay angle: A squeezed state approach

Jie Liu, Bambi Hu, Baowen Li

Research output: Contribution to journalJournal articlepeer-review

40 Citations (Scopus)


The geometric phases of the cyclic states of a generalized harmonic oscillator with nonadiabatic time-periodic parameters are discussed in the framework of a squeezed state. A class of cyclic states is expressed as a superposition of an infinite 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 the squeezed state approach provides a clear picture of the geometric meaning of the quantal phase.

Original languageEnglish
Pages (from-to)1749-1753
Number of pages5
JournalPhysical Review Letters
Issue number9
Publication statusPublished - 31 Aug 1998

Scopus Subject Areas

  • Physics and Astronomy(all)


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