Topological invariance and global Berry phase in non-Hermitian systems
Quantum Physics
2015-02-03 v1
Abstract
By studying the topological invariance andBerry phase in non-Hermitian systems, we reveal the basic properties of the complex Berry phase and generalize the global Berry phases Q to identify the topological invariance for non-Hermitian systems.We find thatQcan identify topological invariance in two kinds of non-Hermitian model, the two-level non-Hermitian Hamiltonian and the bipartite dissipative model. For the bipartite dissipative model, an abrupt change of the Berry phase in the parameter space reveals a quantum phase transition and is related to the exceptional points. These results give the basic relationships between the Berry phase and the quantum and topological phase transitions of non-Hermitian systems.
Keywords
Cite
@article{arxiv.1502.00443,
title = {Topological invariance and global Berry phase in non-Hermitian systems},
author = {Shi-Dong Liang and Guang-Yao Huang},
journal= {arXiv preprint arXiv:1502.00443},
year = {2015}
}
Comments
15 pages, 2 figures