Universal Dimerized Quantum Droplets in a One-Dimensional Lattice

被引:31
|
作者
Morera, Ivan [1 ,2 ]
Astrakharchik, Grigori E. [3 ]
Polls, Artur [1 ,2 ]
Julia-Diaz, Bruno [1 ,2 ]
机构
[1] Univ Barcelona, Fac Fis, Dept Fis Quant & Astrofis, E-08028 Barcelona, Spain
[2] Univ Barcelona, Inst Ciencies Cosmos, ICCUB, Marti & Franques 1, E-08028 Barcelona, Spain
[3] Univ Politecn Cataluna, Dept Fis, Campus Nord B4-B5, E-08034 Barcelona, Spain
关键词
Optical lattices - Mixtures - Statistical mechanics - Hamiltonians - Ground state - Bosons;
D O I
10.1103/PhysRevLett.126.023001
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The ground-state properties of two-component bosonic mixtures in a one-dimensional optical lattice arc studied both from few- and many-body perspectives. We rely directly on a microscopic Hamiltonian with attractive intercomponent and repulsive intracomponent interactions to demonstrate the formation of a quantum liquid. We reveal that its formation and stability can be interpreted in terms of finite-range interactions between dimers. We derive an effective model of composite bosons (dimers) which correctly captures both the few- and many-body properties and validate it against exact results obtained by the density matrix renormalization group method for the full Hamiltonian. The threshold for the formation of the liquid coincides with the appearance of a bound state in the dimer-dimer problem and possesses a universality in terms of the two-body parameters of the dimer-dimer interaction, namely, scattering length and effective range. For sufficiently strong effective dimer-dimer repulsion we observe fermionization of the dimers which form an effective Tonks-Girardeau state and identify conditions for the formation of a solitonic solution. Our predictions are relevant to experiments with dipolar atoms and two-component mixtures.
引用
收藏
页数:6
相关论文
共 50 条
  • [1] Dynamics of quantum droplets in a one-dimensional optical lattice
    Zhou, Zheng
    Yu, Xi
    Zou, Yu
    Zhong, Honghua
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 78
  • [2] Quantum droplets of bosonic mixtures in a one-dimensional optical lattice
    Morera, Ivan
    Astrakharchik, Grigori E.
    Polls, Artur
    Julia-Diaz, Bruno
    [J]. PHYSICAL REVIEW RESEARCH, 2020, 2 (02):
  • [3] Revival of superconductivity in a one-dimensional dimerized diamond lattice
    Shahbazi, Sanaz
    Hosseini, Mir Vahid
    [J]. SCIENTIFIC REPORTS, 2023, 13 (01)
  • [4] Revival of superconductivity in a one-dimensional dimerized diamond lattice
    Sanaz Shahbazi
    Mir Vahid Hosseini
    [J]. Scientific Reports, 13
  • [5] Dynamics of one-dimensional quantum droplets
    Astrakharchik, G. E.
    Malomed, B. A.
    [J]. PHYSICAL REVIEW A, 2018, 98 (01)
  • [7] Statistical mechanics of one-dimensional quantum droplets
    Mithun, T.
    Mistakidis, S., I
    Schmelcher, P.
    Kevrekidis, P. G.
    [J]. PHYSICAL REVIEW A, 2021, 104 (03)
  • [8] Lattice modulation spectroscopy of one-dimensional quantum gases: Universal scaling of the absorbed energy
    Citro, R.
    Demler, E.
    Giamarchi, T.
    Knap, M.
    Orignac, E.
    [J]. PHYSICAL REVIEW RESEARCH, 2020, 2 (03):
  • [9] Critical analysis of the reentrant localization transition in a one-dimensional dimerized quasiperiodic lattice
    Roy, Shilpi
    Chattopadhyay, Sourav
    Mishra, Tapan
    Basu, Saurabh
    [J]. PHYSICAL REVIEW B, 2022, 105 (21)
  • [10] Stationary and dynamical properties of one-dimensional quantum droplets
    Otajonov, Sherzod R.
    Tsoy, Eduard N.
    Abdullaev, Fatkhulla Kh.
    [J]. PHYSICS LETTERS A, 2019, 383 (34)