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Adiabatic Geometric Phase for a General Quantum States

Biao Wu·Jie Liu·Qian Niu
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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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Biao Wu, Jie Liu, Qian Niu. 2004-03-29. Adiabatic Geometric Phase for a General Quantum States. https://doi.org/10.1103/physrevlett.94.140402

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