One-dimensional two-component Bose gas and the algebraic Bethe ansatz

被引:0
|
作者
N. A. Slavnov
机构
[1] Steklov Mathematical Institute of the RAS,
来源
关键词
Bethe ansatz; monodromy matrix; Bethe vector;
D O I
暂无
中图分类号
学科分类号
摘要
We apply the nested algebraic Bethe ansatz to a model of a one-dimensional two-component Bose gas with a δ-function repulsive interaction. Using a lattice approximation of the L-operator, we find the Bethe vectors of the model in the continuum limit. We also obtain a series representation for the monodromy matrix of the model in terms of Bose fields. This representation allows studying an asymptotic expansion of the monodromy matrix over the spectral parameter.
引用
收藏
页码:800 / 821
页数:21
相关论文
共 50 条
  • [41] Transport of a two-component mixture in one-dimensional channels
    V. D. Borman
    V. N. Tronin
    I. V. Tronin
    V. I. Troyan
    Journal of Experimental and Theoretical Physics, 2004, 98 : 102 - 122
  • [42] Transport of a two-component mixture in one-dimensional channels
    Borman, VD
    Tronin, VN
    Tronin, IV
    Troyan, VI
    JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2004, 98 (01) : 102 - 122
  • [43] One-dimensional two-component bosons with attractive interaction
    Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China
    Chin. Phys. Lett., 2007, 12 (3300-3303):
  • [44] Decay in time for a one-dimensional two-component plasma
    Glassey, Robert
    Pankavich, Stephen
    Schaeffer, Jack
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2008, 31 (18) : 2115 - 2132
  • [45] One-dimensional two-component bosons with attractive interaction
    Zhang Qiu-Lan
    CHINESE PHYSICS LETTERS, 2007, 24 (12) : 3300 - 3303
  • [46] BETHE ANSATZ FOR THE ONE-DIMENSIONAL BOSON HUBBARD-MODEL
    KRAUTH, W
    PHYSICAL REVIEW B, 1991, 44 (17): : 9772 - 9775
  • [47] A novel Bethe ansatz scheme for the one-dimensional Hubbard model
    Yi, Yifei
    Qiao, Yi
    Cao, Junpeng
    Yang, Wen-Li
    NUCLEAR PHYSICS B, 2022, 977
  • [48] Algebraic Bethe ansatz for integrable Kondo impurities in the one-dimensional supersymmetric t-J model
    Zhou, HQ
    Gould, MD
    PHYSICS LETTERS A, 1999, 251 (04) : 279 - 285
  • [49] Variational Bethe ansatz approach for dipolar one-dimensional bosons
    De Palo, S.
    Citro, R.
    Orignac, E.
    PHYSICAL REVIEW B, 2020, 101 (04)
  • [50] Unified algebraic Bethe ansatz for two-dimensional lattice models
    Martins, M.J.
    Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1999, 59 (06):