Numerical calculation of the complex berry phase in non-Hermitian systems
Quantum Physics
2018-01-30 v2
Abstract
We numerically investigate topological phases of periodic lattice systems in tight-binding description under the influence of dissipation. The effects of dissipation are effectively described by -symmetric potentials. In this framework we develop a general numerical gauge smoothing procedure to calculate complex Berry phases from the biorthogonal basis of the system's non-Hermitian Hamiltonian. Further, we apply this method to a one-dimensional -symmetric lattice system and verify our numerical results by an analytical calculation.
Cite
@article{arxiv.1708.03230,
title = {Numerical calculation of the complex berry phase in non-Hermitian systems},
author = {Marcel Wagner and Felix Dangel and Holger Cartarius and Jörg Main and Günter Wunner},
journal= {arXiv preprint arXiv:1708.03230},
year = {2018}
}
Comments
7 pages, 3 figures, minor modifications in the final version