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Journal of Physics A Mathematical and General

Berry's phase for coherent states

S. Chaturvedi, M. S. Sriram, Venkatraman Srinivasan

Published Nov 11, 1987• 88 citations
Publisher

Abstract

The authors calculate Berry's phase and the Hannay angle for some physically interesting coherent states with the parameters characterising the coherent states taken to be slowly varying. Interestingly, they find that the harmonic oscillator coherent states provide an example for which, although the Hannay angle is zero, Berry's phase is non-zero.

DOI
10.1088/0305-4470/20/16/007

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The authors calculate Berry's phase and the Hannay angle for some physically interesting coherent states with the parameters characterising the coherent states taken to be slowly varying. Interestingly, they find that the harmonic oscillator coherent states provide an example for which, although the Hannay angle is zero, Berry's phase is non-zero.
Motivated by some recent remarks on the ``removability'' of Berry's phase [Ph. De Sousa Gerbert, Ann. Phys. (N.Y.) 189, 155 (1989)] or its classical counterpart, the Hannay angle, we present here a fresh analysis of Berry's-phase calculations for some coherent states of general theoretical interest. Our reasoning, though semiclassical, lends itself easily for comparison with the exact results. Unlike spin-coherent states, both the (ordinary) harmonic-oscillator and squeezed coherent states are contained in Hamiltonians for which Berry's phase can be removed globally by a canonical transformation.