Non-Hermitian superintegrable systems

被引：0
|
作者：
Correa, Francisco [1 ]
Inzunza, Luis [1 ]
Marquette, Ian [2 ]
机构：
[1] Univ Austral Chile, Inst Ciencias Fis & Matemat, Casilla 567, Valdivia, Chile
[2] Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2023年 / 56卷 / 34期
基金：
澳大利亚研究理事会;
关键词：
non-Hermitian Hamiltonians; superintegrable systems; PT-symmetry; Marsden-Weinstein reduction; MAXIMAL ABELIAN SUBALGEBRAS; MULTISEPARABLE SUPERINTEGRABILITY; INTEGRABLE SYSTEMS; CALOGERO MODEL; POSCHL-TELLER; COMPLETENESS; POLYNOMIALS; SEPARATION; REAL;
D O I：
10.1088/1751-8121/ace506
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A non-Hermitian generalisation of the Marsden-Weinstein reduction method is introduced to construct families of quantum PT-symmetric superintegrable models over an n-dimensional sphere S-n. The mechanism is illustrated with one-and two-dimensional examples, related to u(2) and u(3) Lie algebras respectively, providing new quantum models with real spectra and spontaneous PT-symmetric breaking. In certain limits, the models reduce to known non-Hermitian systems and complex extensions of previously studied real superintegrable systems.
引用
收藏
页数：20
相关论文
共 50 条
  • [31] Non-Hermitian Skin Effect in a Non-Hermitian Electrical Circuit
    Liu, Shuo
    Shao, Ruiwen
    Ma, Shaojie
    Zhang, Lei
    You, Oubo
    Wu, Haotian
    Xiang, Yuan Jiang
    Cui, Tie Jun
    Zhang, Shuang
    RESEARCH, 2021, 2021
  • [32] On the theory of systems with substitutional non-Hermitian disorder
    Skrypnyk, Y. V.
    Loktev, V. M.
    LOW TEMPERATURE PHYSICS, 2020, 46 (08) : 869 - 873
  • [33] Non-Hermitian quantum systems and their geometric phases
    Zhang, Qi
    Wu, Biao
    PHYSICAL REVIEW A, 2019, 99 (03)
  • [34] Observation of topological rainbow in non-Hermitian systems
    Lu, Cuicui
    Zhao, Wen
    Zhang, Sheng
    Zheng, Yanji
    Wang, Chenyang
    Li, Yaohua
    Liu, Yong-Chun
    Hu, Xiaoyong
    Hang, Zhi Hong
    CHINESE OPTICS LETTERS, 2023, 21 (12)
  • [35] Topological theory of non-Hermitian photonic systems
    Silveirinha, Mario G.
    PHYSICAL REVIEW B, 2019, 99 (12)
  • [36] Unambiguous scattering matrix for non-Hermitian systems
    Novitsky, Andrey
    Lyakhov, Dmitry
    Michels, Dominik
    Pavlov, Alexander A.
    Shalin, Alexander S.
    Novitsky, Denis, V
    PHYSICAL REVIEW A, 2020, 101 (04)
  • [37] Heralded Magnetism in Non-Hermitian Atomic Systems
    Lee, Tony E.
    Chan, Ching-Kit
    PHYSICAL REVIEW X, 2014, 4 (04):
  • [38] Hamiltonian formulation of linear non-Hermitian systems
    Zhang, Qi
    PHYSICA SCRIPTA, 2024, 99 (08)
  • [39] Effect of quantum jumps on non-Hermitian systems
    Niu, Xiangyu
    Li, Jianning
    Wu, S. L.
    Yi, X. X.
    PHYSICAL REVIEW A, 2023, 108 (03)
  • [40] Spin transport in non-Hermitian quantum systems
    Leonardo S. Lima
    Scientific Reports, 13
12345