Phase space representation of non-Hermitian system with $\mathcal{PT}$-symmetry
Quantum Physics
2016-05-25 v1
Abstract
We present a phase space study of non-Hermitian Hamiltonian with -symmetry based on the Wigner distribution function. For an arbitrary complex potential, we derive a generalized continuity equation for the Wigner function flow and calculate the related circulation values. Studying vicinity of an exceptional point, we show that a -symmetric phase transition from an unbroken -symmetry phase to a broken one is a second-order phase transition.
Keywords
Cite
@article{arxiv.1604.08405,
title = {Phase space representation of non-Hermitian system with $\mathcal{PT}$-symmetry},
author = {Ludmila Praxmeyer and Popo Yang and Ray-Kuang Lee},
journal= {arXiv preprint arXiv:1604.08405},
year = {2016}
}