Adiabatic Geometric Phase for a General Quantum States

Details Adiabatic Geometric Phase for a General Quantum States Adiabatic Geometric Phase for a General Quantum States

2004-03-29

arxiv.org/abs/quant-ph/0403213v1

Phys. Rev. Lett. 94 (2005) 140402

Physics

Quantum Physics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.94.140402

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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