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Stochastic mean-field theory: Method and application to the disordered Bose-Hubbard model at finite temperature and speckle disorder

机译:随机平均场理论:在有限温度和斑点斑点下无序Bose-Hubbard模型的方法和应用

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摘要

We discuss the stochastic mean-field theory (SMFT) method, which is a new approach for describing disordered Bose systems in the thermodynamic limit including localization and dimensional effects. We explicate the method in detail and apply it to the disordered Bose-Hubbard model at finite temperature, with on-site box disorder, as well as experimentally relevant unbounded speckle disorder. We find that disorder-induced condensation and re-entrant behavior at constant filling are only possible at low temperatures, beyond the reach of current experiments [M. Pasienski, D. McKay, M. White, and B. DeMarco, e-print arXiv:0908.1182]. Including off-diagonal hopping disorder as well, we investigate its effect on the phase diagram in addition to pure on-site disorder. To make connection to present experiments on a quantitative level, we also combine SMFT with an LDA approach and obtain the condensate fraction in the presence of an external trapping potential.
机译:我们讨论了随机平均场理论(SMFT)方法,这是一种在热力学极限范围内描述无序Bose系统的新方法,包括局部化和尺寸效应。我们将详细说明该方法,并将其应用于在有限温度下的无序Bose-Hubbard模型,现场盒状无序以及实验相关的无斑点散斑。我们发现,在恒定填充条件下,无序诱发的凝结和折返行为只有在低温下才有可能,这超出了当前实验的范围[M. Pasienski,D。McKay,M。White和B. DeMarco,电子版arXiv:0908.1182]。包括非对角跳动障碍,除了纯现场障碍之外,我们还研究了其对相图的影响。为了在数量上与当前实验建立联系,我们还将SMFT与LDA方法结合使用,并在存在外部捕集势的情况下获得冷凝水馏分。

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