Quantum magnetism of bosons with synthetic gauge fields in one-dimensional optical lattices: A density-matrix renormalization-group study

被引：47
作者：
Piraud, Marie [1 ]
Cai, Zi [1 ]
McCulloch, Ian P. [2 ]
Schollwoeck, Ulrich [1 ]
机构：
[1] Univ Munich, Fak Phys, D-80333 Munich, Germany
[2] Univ Queensland, Sch Phys Sci, Ctr Engn Quantum Syst, Brisbane, Qld 4072, Australia
来源：
PHYSICAL REVIEW A | 2014年 / 89卷 / 06期
基金：
澳大利亚研究理事会;
关键词：
ANISOTROPIC SUPEREXCHANGE INTERACTION; INDUCED GAP;
D O I：
10.1103/PhysRevA.89.063618
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this paper, we provide a comprehensive study of the quantum magnetism in the Mott insulating phases of the one-dimensional (1D) Bose-Hubbard model with Abelian or non-Abelian synthetic gauge fields, using the density-matrix renormalization-group (DMRG) method. We focus on the interplay between the synthetic gauge field and the asymmetry of the interactions, which give rise to a very general effective magnetic model: an XYZ model with various Dzyaloshinskii-Moriya (DM) interactions. The properties of the different quantum magnetic phases and phases transitions of this model are investigated.
引用
收藏
页数：7
相关论文
共 54 条
  • [1] Field-induced gap in Cu benzoate and other S=1/2 antiferromagnetic chains
    Affleck, I
    Oshikawa, M
    [J]. PHYSICAL REVIEW B, 1999, 60 (02) : 1038 - 1056
  • [2] Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices
    Aidelsburger, M.
    Atala, M.
    Lohse, M.
    Barreiro, J. T.
    Paredes, B.
    Bloch, I.
    [J]. PHYSICAL REVIEW LETTERS, 2013, 111 (18)
  • [3] Experimental Realization of Strong Effective Magnetic Fields in an Optical Lattice
    Aidelsburger, M.
    Atala, M.
    Nascimbene, S.
    Trotzky, S.
    Chen, Y. -A.
    Bloch, I.
    [J]. PHYSICAL REVIEW LETTERS, 2011, 107 (25)
  • [4] [Anonymous], 2011, QUANTUM PHASE TRANSI
  • [5] Atala M., ARXIV14020819
  • [6] THEORY OF ANISOTROPIC SUPEREXCHANGE IN INSULATING CUPRATES
    BONESTEEL, NE
    [J]. PHYSICAL REVIEW B, 1993, 47 (17): : 11302 - 11313
  • [7] Exact description of magnetoelectric effect in the spin-1/2 XXZ chain with Dzyaloshinskii-Moriya interaction
    Brockmann, Michael
    Kluemper, Andreas
    Ohanyan, Vadim
    [J]. PHYSICAL REVIEW B, 2013, 87 (05)
  • [8] Magnetic phases of bosons with synthetic spin-orbit coupling in optical lattices
    Cai, Zi
    Zhou, Xiangfa
    Wu, Congjun
    [J]. PHYSICAL REVIEW A, 2012, 85 (06):
  • [9] One dimensional bosons: From condensed matter systems to ultracold gases
    Cazalilla, M. A.
    Citro, R.
    Giamarchi, T.
    Orignac, E.
    Rigol, M.
    [J]. REVIEWS OF MODERN PHYSICS, 2011, 83 (04) : 1405 - 1466
  • [10] Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
    Cheuk, Lawrence W.
    Sommer, Ariel T.
    Hadzibabic, Zoran
    Yefsah, Tarik
    Bakr, Waseem S.
    Zwierlein, Martin W.
    [J]. PHYSICAL REVIEW LETTERS, 2012, 109 (09)
123456