Adiabatic Geometric Phase for a General Quantum States

2004/03/29 by Biao Wu, Jie Liu, Qian Niu · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physrevlett.94.140402

published as Phys. Rev. Lett. 94 (2005) 140402 · 4 pages, 2 figures

arxiv created 2004/03/29 · arxiv updated 2009/12/01

Abstract

A geometric phase is found for a general quantum state that undergoes adiabatic evolution. For the case of eigenstates, it reduces to the original Berry's phase. Such a phase is applicable in both linear and nonlinear quantum systems. Furthermore, this new phase is related to Hannay's angles as we find that these angles, a classical concept, can arise naturally in quantum systems. The results are demonstrated with a two-level model.

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