Fermionic Model with a Non-Hermitian Hamiltonian

被引：0
|
作者：
N. Bebiano
J. da Providência
S. Nishiyama
J. P. da Providência
机构：
[1] University of Coimbra,Department of Mathematics, CMUC
[2] University of Coimbra,Department of Physics
[3] CFisUC,Departamento de Física
[4] University of Beira Interior,undefined
[5] CMA,undefined
来源：
Brazilian Journal of Physics | 2020年 / 50卷
关键词：
Antisymmetric tensor; Hamiltonian; Fermion; Pseudo-fermion; Complete biorthogonal sets; Hermitian; Non-Hermitian; Metric matrix; Partition function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper deals with the mathematical spectral analysis and physical interpretation of a fermionic system described by a non-Hermitian Hamiltonian possessing real eigenvalues. A statistical thermodynamical description of such a system is considered. Approximate expressions for the energy expectation value and the number operator expectation value, in terms of the absolute temperature T and of the chemical potential μ, are obtained, based on the Euler-Maclaurin formula.
引用
收藏
页码：143 / 152
页数：9
相关论文
共 50 条
  • [41] Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction
    Yamamoto, Kazuki
    Nakagawa, Masaya
    Adachi, Kyosuke
    Takasan, Kazuaki
    Ueda, Masahito
    Kawakami, Norio
    [J]. PHYSICAL REVIEW LETTERS, 2019, 123 (12)
  • [42] Two-dimensional non-Hermitian fermionic superfluidity with spin imbalance
    Shi, Tingting
    Wang, Siqi
    Zheng, Zhiyue
    Zhang, Wei
    [J]. PHYSICAL REVIEW A, 2024, 109 (06)
  • [43] Quantum exceptional points of non-Hermitian Hamiltonian and Liouvillian in dissipative quantum Rabi model
    欧先锋
    黄嘉豪
    李朝红
    [J]. Chinese Physics B, 2021, 30 (11) : 108 - 114
  • [44] Quantum exceptional points of non-Hermitian Hamiltonian and Liouvillian in dissipative quantum Rabi model*
    Ou, Xianfeng
    Huang, Jiahao
    Lee, Chaohong
    [J]. CHINESE PHYSICS B, 2021, 30 (11)
  • [45] Determining the non-Hermitian parent Hamiltonian from a single eigenstate
    Xie, Xu-Dan
    Xue, Zheng-Yuan
    Zhang, Dan-Bo
    [J]. Physical Review B, 2024, 110 (23)
  • [46] Arrival Time from Hamiltonian with Non-Hermitian Boundary Term
    Juric, Tajron
    Nikolic, Hrvoje
    [J]. UNIVERSE, 2024, 10 (01)
  • [47] Non-Hermitian Hamiltonian versus E=0 localized states
    Mazharimousavi, S. Habib
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (24)
  • [48] ELECTRONIC-STRUCTURE FROM NON-HERMITIAN REPRESENTATIONS OF HAMILTONIAN
    HAYDOCK, R
    KELLY, MJ
    [J]. JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1975, 8 (13): : L290 - L293
  • [49] Kondo effect in a PT-symmetric non-Hermitian Hamiltonian
    Lourenco, Jose A. S.
    Eneias, Ronivon L.
    Pereira, Rodrigo G.
    [J]. PHYSICAL REVIEW B, 2018, 98 (08)
  • [50] GEOMETRY OF QUANTAL ADIABATIC EVOLUTION DRIVEN BY A NON-HERMITIAN HAMILTONIAN
    WU, ZY
    YU, T
    ZHOU, HW
    [J]. PHYSICS LETTERS A, 1994, 186 (1-2) : 59 - 64
12345