The duality between a non-Hermitian two-state quantum system and a massless charged particle

被引:2
|
作者
Botet, Robert [1 ]
Kuratsuji, Hiroshi [2 ]
机构
[1] Univ Paris Saclay, CNRS UMR8502, Lab Phys Solides, Ctr Orsay, Bat 5l0, F-91405 Orsay, France
[2] Ritsumeikan Univ BKC, Fac Sci & Engn, Noji Hill, Kusatsu 5258577, Japan
关键词
non-Hermitian quantum systems; two-state quantum systems; charged massless particles; optical Stokes parameters; FEYNMANS PROOF; SCHRODINGER EQUATION; PSEUDO-HERMITICITY; UNIFIED THEORY; REPRESENTATION; EVOLUTION; SYMMETRY; DYNAMICS; PHYSICS; PHOTON;
D O I
10.1088/1751-8121/aaf479
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show that the equations for the dynamics of a non-Hermitian two-state quantum system arc the same as the equations of motion for a massless charged particle in an electromagnetic field. Using simple analytical arguments to prove this unexpected duality between two very different domains in physics, we further exemplify it through a case-study of polarization of light propagating in a dichroic medium with magneto-optic activity.
引用
收藏
页数:18
相关论文
共 50 条
  • [21] Unidirectional reflectionlessness in a non-Hermitian quantum system of surface plasmon coupled to two plasmonic cavities
    Qiu, De-Xiu
    Bai, Ruiping
    Zhang, Cong
    Xin, Li-Fang
    Zou, Xin-Yu
    Zhang, Ying Qiao
    Jin, Xing Ri
    An, Chengshou
    Zhang, Shou
    QUANTUM INFORMATION PROCESSING, 2019, 18 (01)
  • [22] Nearby states in non-Hermitian quantum systems I: Two states
    Hichem Eleuch
    Ingrid Rotter
    The European Physical Journal D, 2015, 69
  • [23] Unidirectional reflectionlessness in a non-Hermitian quantum system of surface plasmon coupled to two plasmonic cavities
    De-Xiu Qiu
    Ruiping Bai
    Cong Zhang
    Li-Fang Xin
    Xin-Yu Zou
    Ying Qiao Zhang
    Xing Ri Jin
    Chengshou An
    Shou Zhang
    Quantum Information Processing, 2019, 18
  • [24] Modeling deception as a two-state quantum system
    Schillaci, M
    Vendemia, J
    Buzan, R
    JOURNAL OF COGNITIVE NEUROSCIENCE, 2005, : 31 - 31
  • [25] Two-Dimensional Quantum Walk with Non-Hermitian Skin Effects
    李天宇
    张永生
    易为Wei Yi
    Chinese Physics Letters, 2021, 38 (03) : 6 - 14
  • [26] Two-Dimensional Quantum Walk with Non-Hermitian Skin Effects
    Li, Tianyu
    Zhang, Yong-Sheng
    Yi, Wei
    CHINESE PHYSICS LETTERS, 2021, 38 (03)
  • [27] Nearby states in non-Hermitian quantum systems I: Two states
    Eleuch, Hichem
    Rotter, Ingrid
    EUROPEAN PHYSICAL JOURNAL D, 2015, 69 (10):
  • [28] An attractor dynamics in a non-Hermitian two-level system
    Li, C.
    Wang, P.
    Jin, L.
    Song, Z.
    JOURNAL OF PHYSICS COMMUNICATIONS, 2021, 5 (10):
  • [29] Emulating Non-Hermitian Dynamics in a Finite Non-Dissipative Quantum System
    Flament, Eloi
    Impens, Francois
    Guery-Odelin, David
    ENTROPY, 2023, 25 (09)
  • [30] Distinguish between typical non-Hermitian quantum systems by entropy dynamics
    Chao Zheng
    Daili Li
    Scientific Reports, 12