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
  • [1] Non-Hermitian physics and PT symmetry
    Ramy El-Ganainy
    Konstantinos G. Makris
    Mercedeh Khajavikhan
    Ziad H. Musslimani
    Stefan Rotter
    Demetrios N. Christodoulides
    Nature Physics, 2018, 14 (1) : 11 - 19
  • [2] Non-Hermitian physics and PT symmetry
    El-Ganainy, Ramy
    Makris, Konstantinos G.
    Khajavikhan, Mercedeh
    Musslimani, Ziad H.
    Rotter, Stefan
    Christodoulides, Demetrios N.
    NATURE PHYSICS, 2018, 14 (01) : 11 - 19
  • [3] Topological phase in a non-Hermitian PT symmetric system
    Yuce, C.
    PHYSICS LETTERS A, 2015, 379 (18-19) : 1213 - 1218
  • [4] Non-Hermitian quantum Hamiltonians with PT symmetry
    Jones-Smith, Katherine
    Mathur, Harsh
    PHYSICAL REVIEW A, 2010, 82 (04)
  • [5] Non-Hermitian dynamics for a two-spin system with PT symmetry
    Komineas, Stavros
    PHYSICAL REVIEW B, 2023, 107 (09)
  • [6] Non-Hermitian two-dimensional harmonic oscillator in noncommutative phase-space
    N'Dolo, Emanonf Elias
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2024, 21 (04)
  • [7] PT symmetry protected non-Hermitian topological systems
    C. Yuce
    Z. Oztas
    Scientific Reports, 8
  • [8] Anti-PT symmetry for a non-Hermitian Hamiltonian
    Maamache, Mustapha
    Kheniche, Linda
    PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2020, 2020 (12):
  • [9] PT symmetry protected non-Hermitian topological systems
    Yuce, C.
    Oztas, Z.
    SCIENTIFIC REPORTS, 2018, 8
  • [10] Non-Hermitian Hamiltonians with space-time symmetry
    Klaiman, Shachar
    Cederbaum, Lorenz S.
    PHYSICAL REVIEW A, 2008, 78 (06):
12345