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

被引:13
|
作者
Praxmeyer, Ludmila [1 ]
Yang, Popo [2 ]
Lee, Ray-Kuang [1 ,2 ,3 ]
机构
[1] Natl Tsing Hua Univ, Inst Photon Technol, Hsinchu 300, Taiwan
[2] Natl Tsing Hua Univ, Dept Phys, Hsinchu 300, Taiwan
[3] Natl Ctr Theoret Sci, Div Phys, Hsinchu 300, Taiwan
关键词
PARITY-TIME SYMMETRY;
D O I
10.1103/PhysRevA.93.042122
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
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.
引用
收藏
页数:8
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