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
来源：
PHYSICAL REVIEW A | 2016年 / 93卷 / 04期
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
相关论文
共 50 条
  • [21] Pseudo PT -symmetry in time periodic non-Hermitian Hamiltonians systems
    Maamache, Mustapha
    Lamri, Sarra
    Cherbal, Omar
    ANNALS OF PHYSICS, 2017, 378 : 150 - 161
  • [22] LINKED PT-SYMMETRY TO SUPERSYMMETRY IN A CLASS OF NON-HERMITIAN HAMILTONIANS
    Shalaby, Abouzeid M.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2012, 27 (10):
  • [23] Construction of PT-asymmetric non-Hermitian Hamiltonians with CPT symmetry
    Caliceti, E
    Cannata, F
    Znojil, M
    Ventura, A
    PHYSICS LETTERS A, 2005, 335 (01) : 26 - 30
  • [24] Topological Defect Engineering and PT Symmetry in Non-Hermitian Electrical Circuits
    Stegmaier, Alexander
    Imhof, Stefan
    Helbig, Tobias
    Hoefmann, Tobias
    Lee, Ching Hua
    Kremer, Mark
    Fritzsche, Alexander
    Feichtner, Thorsten
    Klembt, Sebastian
    Hofling, Sven
    Boettcher, Igor
    Fulga, Ion Cosma
    Ma, Libo
    Schmidt, Oliver G.
    Greiter, Martin
    Kiessling, Tobias
    Szameit, Alexander
    Thomale, Ronny
    PHYSICAL REVIEW LETTERS, 2021, 126 (21)
  • [25] Sensing Applications of PT-Symmetry in Non-Hermitian Photonic Systems
    Wang, Zuoxian
    Liang, Zihua
    Hu, Jinsheng
    Zhou, Peng
    Liu, Lu
    Hu, Gen
    Wang, Weiyi
    Ye, Mao
    ADVANCED QUANTUM TECHNOLOGIES, 2025, 8 (01)
  • [26] Localization, PT symmetry breaking, and topological transitions in non-Hermitian quasicrystals
    Acharya, Aruna Prasad
    Chakrabarty, Aditi
    Sahu, Deepak Kumar
    Datta, Sanjoy
    PHYSICAL REVIEW B, 2022, 105 (01)
  • [27] Exceptional points and dynamics of a non-Hermitian two-level system without PT symmetry
    Wang, Qiu
    Wang, Jiao
    Shen, H. Z.
    Hou, S. C.
    Yi, X. X.
    EPL, 2020, 131 (03)
  • [28] Information retrieval and eigenstate coalescence in a non-Hermitian quantum system with anti-PT symmetry
    Ding, Liangyu
    Shi, Kaiye
    Wang, Yuxin
    Zhang, Qiuxin
    Zhu, Chenhao
    Zhang, Ludan
    Yi, Jiaqi
    Zhang, Shuaining
    Zhang, Xiang
    Zhang, Wei
    PHYSICAL REVIEW A, 2022, 105 (01)
  • [29] Non-Hermitian gauged reciprocity and symmetry
    Lyu, Jiecheng
    Gao, Zihe
    Feng, Liang
    Ge, Li
    PHYSICAL REVIEW B, 2024, 110 (13)
  • [30] Symmetry indicator in non-Hermitian systems
    Shiozaki, Ken
    Ono, Seishiro
    PHYSICAL REVIEW B, 2021, 104 (03)
12345