Bethe Ansatz Solutions of the Bose-Hubbard Dimer

被引：18
|
作者：
Links, Jon [1 ]
Hibberd, Katrina E. [1 ]
机构：
[1] Univ Queensland, Ctr Math Phys, Sch Phys Sci, Brisbane, Qld 4072, Australia
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2006年 / 2卷
基金：
澳大利亚研究理事会;
关键词：
Bose-Hubbard dimer; Bethe ansatz;
D O I：
10.3842/SIGMA.2006.095
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Bose-Hubbard dimer Hamiltonian is a simple yet effective model for describing tunneling phenomena of Bose-Einstein condensates. One of the significant mathematical properties of the model is that it can be exactly solved by Bethe ansatz methods. Here we review the known exact solutions, highlighting the contributions of V.B. Kuznetsov to this field. Two of the exact solutions arise in the context of the Quantum Inverse Scattering Method, while the third solution uses a differential operator realisation of the su(2) Lie algebra.
引用
收藏
页数：8
相关论文
共 50 条
  • [1] A Bethe ansatz study of the ground state energy for the repulsive Bose-Hubbard dimer
    Links, Jon
    Zhao, Shao-You
    [J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2009,
  • [2] Bethe Ansatz solutions and excitation gap of the attractive Bose-Hubbard model
    Lee, DS
    Kim, D
    [J]. JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2001, 39 (02) : 203 - 208
  • [3] Exact solution of the Bose-Hubbard model on the Bethe lattice
    Semerjian, Guilhem
    Tarzia, Marco
    Zamponi, Francesco
    [J]. PHYSICAL REVIEW B, 2009, 80 (01)
  • [4] Dynamics of entanglement in a dissipative Bose-Hubbard dimer
    Pudlik, Tadeusz
    Hennig, Holger
    Witthaut, D.
    Campbell, David K.
    [J]. PHYSICAL REVIEW A, 2013, 88 (06):
  • [5] Thermalization in a Bose-Hubbard dimer with modulated tunneling
    Kidd, R. A.
    Safavi-Naini, A.
    Corney, J. F.
    [J]. PHYSICAL REVIEW A, 2020, 102 (02)
  • [6] Quantum chaos in a Bose-Hubbard dimer with modulated tunneling
    Kidd, R. A.
    Olsen, M. K.
    Corney, J. F.
    [J]. PHYSICAL REVIEW A, 2019, 100 (01)
  • [7] Escape dynamics of a Bose-Hubbard dimer out of a trap
    Maksimov, Dmitrii N.
    Kolovsky, Andrey R.
    [J]. PHYSICAL REVIEW A, 2014, 89 (06):
  • [8] Bifurcations in resonance widths of an open Bose-Hubbard dimer
    Hiller, Moritz
    Kottos, Tsampikos
    Ossipov, Alexander
    [J]. PHYSICAL REVIEW A, 2006, 73 (06):
  • [9] An exact reformulation of the Bose-Hubbard model in terms of a stochastic Gutzwiller ansatz
    Carusotto, I
    Castin, Y
    [J]. NEW JOURNAL OF PHYSICS, 2003, 5
  • [10] Exact numerical solutions of Bose-Hubbard model
    Zhang, D
    Pan, F
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2004, 41 (02) : 183 - 188
12345