PT-symmetry-breaking in phase space
楊宗儒1*, Ludmila Praxmeyer2, 李瑞光1,2
1Department of Physics, National Tsing Hua University, Hsinchu, Taiwan
2Institute of Photonics Technologies, National Tsing Hua University, Hsinchu, Taiwan
* presenting author:楊宗儒,
With the Wigner flow in phase space, defined by the Wigner function, we reveal the signature of symmetry-breaking phase transition in a Parity-Time (PT) Hamiltonian. Close-looped circulation of Wigner flow demonstrates a manifold of real spectra for such a non-Hermitian system; while open-looped circulation corresponds to complex spectra. The orientation winding number of Wigner flow and related topological order are demonstrated across the PT-symmetry-breaking point.

Keywords: phase space, Wigner flow, PT symmetry, non-Hermitian