Berry Phase and Hannay's Angle in a Quantum-Classical Hybrid System

Details Berry Phase and Hannay's Angle in a Quantum-Classical Hybrid System Berry Phase and Hannay's Angle in a Quantum-Classical Hybrid System

2011-03-19

arxiv.org/abs/1103.3776v1

Phys. Rev. A 83, 062101 (2011)

Physics

Quantum Physics

8 pages, 2 figures

Scientific paper

Berry phase, which had been discovered for more than two decades, provides us a very deep insight on the geometric structure of quantum mechanics. Its classical counterpart--Hannay's angle is defined if closed curves of action variables return to the same curves in phase space after a time evolution. In this paper, we study the Berry phase and Hannay's angle in a quantum-classical hybrid system under the Born-Oppenheimer approximation. By quantum-classical hybrid system, we denote a composite system consists of a quantum subsystem and a classical subsystem. The effects of subsystem-subsystem couplings on the Berry phase and Hannay's angle are explored. The results show that the Berry phase has been changed sharply by the couplings, whereas the couplings have small effect on the Hannay's angle.

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