Abstract
We present a phase-space study of a 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 the 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.
- Received 25 February 2016
DOI:https://doi.org/10.1103/PhysRevA.93.042122
©2016 American Physical Society