Geometric phases between biorthogonal states
Quantum Physics
2013-11-25 v1
Abstract
We investigate the evolution of a state which is dominated by a finite-dimensional non-Hermitian time-dependent Hamiltonian operator with a nondegenerate spectrum by using a biorthonormal approach. The geometric phase between any two states, biorthogonal or not, are generally derived by employing the generalized interference method. The counterpart of Manini-Pistolesi non-diagonal geometric phase in the non-Hermitian setting is taken as a typical example.
Cite
@article{arxiv.1311.5631,
title = {Geometric phases between biorthogonal states},
author = {Xiao-Dong Cui and Yujun Zheng},
journal= {arXiv preprint arXiv:1311.5631},
year = {2013}
}
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5 pages