Phase-space representation of a non-Hermitian system with PT symmetry

Ludmila Praxmeyer, Popo Yang, and Ray-Kuang Lee
Phys. Rev. A 93, 042122 – Published 27 April 2016

Abstract

We present a phase-space study of a non-Hermitian Hamiltonian with PT 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 the vicinity of an exceptional point, we show that a PT-symmetric phase transition from an unbroken PT-symmetry phase to a broken one is a second-order phase transition.

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  • Received 25 February 2016

DOI:https://doi.org/10.1103/PhysRevA.93.042122

©2016 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Ludmila Praxmeyer1, Popo Yang2, and Ray-Kuang Lee1,2,3

  • 1Institute of Photonics Technologies, National Tsing-Hua University, Hsinchu 300, Taiwan
  • 2Department of Physics, National Tsing-Hua University, Hsinchu 300, Taiwan
  • 3Physics Division, National Center for Theoretical Science, Hsinchu 300, Taiwan

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Issue

Vol. 93, Iss. 4 — April 2016

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