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Geometric phases and anholonomy for a class of chaotic classical systems

Christopher Jarzynski
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Abstract

Berry's phase may be viewed as arising from the parallel transport of a quantal state around a loop in parameter space. In this Letter, the classical limit of this transport is obtained for a particular class of chaotic systems. It is shown that this ``classical parallel transport'' is anholonomic --- transport around a closed curve in parameter space does not bring a point in phase space back to itself --- and is intimately related to the Robbins-Berry classical two-form.

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Christopher Jarzynski. 1995-02-02. Geometric phases and anholonomy for a class of chaotic classical systems. https://doi.org/10.1103/physrevlett.74.1732

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