Adiabatic Geometric Phase for a General Quantum States
Quantum Physics
2007-05-23 v1
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.
Cite
@article{arxiv.quant-ph/0403213,
title = {Adiabatic Geometric Phase for a General Quantum States},
author = {Biao Wu and Jie Liu and Qian Niu},
journal= {arXiv preprint arXiv:quant-ph/0403213},
year = {2007}
}
Comments
4 pages, 2 figures