Mean-field expansion in Bose-Einstein condensates with finite-range interactions

被引:79
|
作者
Schuetzhold, Ralf [1 ]
Uhlmann, Michael
Xu, Yan
Fischer, Uwe R.
机构
[1] Tech Univ Dresden, Inst Theoret Phys, D-01062 Dresden, Germany
[2] Univ Tubingen, Inst Theoret Phys, D-72076 Tubingen, Germany
来源
关键词
Bose-Einstein condensates; mean-field expansion; large-N limit; quantum depletion; dipole-dipole interaction;
D O I
10.1142/S0217979206035631
中图分类号
O59 [应用物理学];
学科分类号
摘要
We present a formal derivation of the mean-field expansion for dilute Bose-Einstein condensates with two-particle interaction potentials which are weak and finite-range, but otherwise arbitrary. The expansion allows for a controlled investigation of the impact of microscopic interaction details (e.g. the scaling behavior) on the mean-field approach and the induced higher-order corrections beyond the s-wave scattering approximation.
引用
收藏
页码:3555 / 3565
页数:11
相关论文
共 50 条
  • [21] Superfluidity and mean-field energy loops: Hysteretic behavior in Bose-Einstein condensates
    Mueller, EJ
    PHYSICAL REVIEW A, 2002, 66 (06): : 12
  • [22] Eliminating the mean-field shift in two-component Bose-Einstein condensates
    Goldstein, EV
    Moore, MG
    Pu, H
    Meystre, P
    PHYSICAL REVIEW LETTERS, 2000, 85 (24) : 5030 - 5033
  • [23] Vortex states in rotating Bose-Einstein condensates beyond the mean-field regime
    Chatterjee, Budhaditya
    PRAMANA-JOURNAL OF PHYSICS, 2024, 98 (01):
  • [24] Mean-Field Transport of a Bose-Einstein Condensate
    Sekkouri, Samy Mailoud
    Wimberger, Sandro
    EMERGENT COMPLEXITY FROM NONLINEARITY, IN PHYSICS, ENGINEERING AND THE LIFE SCIENCES, 2017, 191 : 49 - 58
  • [25] Rotating Bose-Einstein condensates: Closing the gap between exact and mean-field solutions
    Cremon, J. C.
    Jackson, A. D.
    Karabulut, E. O.
    Kavoulakis, G. M.
    Mottelson, B. R.
    Reimann, S. M.
    PHYSICAL REVIEW A, 2015, 91 (03):
  • [26] Persistence of mean-field features in the energy spectrum of small arrays of Bose-Einstein condensates
    Buonsante, P
    Franzosi, R
    Penna, V
    JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2004, 37 (07) : S229 - S238
  • [27] Mean-field Wigner function of Bose-Einstein condensates in the Thomas-Fermi limit
    Teske, J.
    Besbes, M. R.
    Okhrimenko, B.
    Walser, R.
    PHYSICA SCRIPTA, 2018, 93 (12)
  • [28] Mean-field regime of trapped dipolar Bose-Einstein condensates in one and two dimensions
    Cai, Yongyong
    Rosenkranz, Matthias
    Lei, Zhen
    Bao, Weizhu
    PHYSICAL REVIEW A, 2010, 82 (04):
  • [29] Thermodynamics of dilute Bose gases: Beyond mean-field theory for binary mixtures of Bose-Einstein condensates
    Ota, Miki
    Giorgini, Stefano
    PHYSICAL REVIEW A, 2020, 102 (06)
  • [30] Mean-field model of interaction between bright vortex solitons in Bose-Einstein condensates
    Adhikari, SK
    NEW JOURNAL OF PHYSICS, 2003, 5