Berry's phase and Fermi-Walker parallel transport

Zofia Białynicka-Birula

Jingyuan Chen

Jie Wang, Scott Geraedts, Edward H. Rezayi +1 more

Jie Wang

Christopher Jarzynski

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.

K. Yamada