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Thermodynamics of the Bose-Hubbard model in a Bogoliubov+U theory

机译:Bogoliubov + U理论中的Bose-Hubbard模型的热力学

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摘要

We derive the Bogoliubov+U formalism to study the thermodynamical properties of the Bose-Hubbard model. The framework can be viewed as the zero-frequency limit of bosonic dynamical mean-field theory (B-DMFT), but equally well as an extension of the mean-field decoupling approximation in which pair creation and annihilation of depleted particles is taken into account. The self-energy on the impurity site is treated variationally, minimizing the grand potential. The theory containing just three parameters that are determined self-consistently reproduces the T = 0 phase diagrams of the three-dimensional and two-dimensional Bose-Hubbard model with an accuracy of 1% or better. The superfluid to normal transition at finite temperature is also reproduced well and only slightly less accurately than in B-DMFT.
机译:我们导出Bogoliubov + U形式主义来研究Bose-Hubbard模型的热力学性质。该框架可以看作是玻色动力学平均场理论(B-DMFT)的零频极限,但同样可以看作是平均场解耦近似的扩展,其中考虑了成对和耗尽粒子的an灭。 。杂质位点上的自能经过不同处理,从而使大势能最小化。仅包含三个自确定参数的理论就可以再现3维和二维Bose-Hubbard模型的T = 0相图,其精度为1%或更高。在有限温度下,从超流体到正态转变的复制也很好,并且精确度仅低于B-DMFT。

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  • 来源
    《Physical review》 |2015年第22期|224510.1-224510.7|共7页
  • 作者

    Dario Huegel; Lode Pollet;

  • 作者单位

    Department of Physics, Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Ludwig-Maximilians-Universitaet Muenchen, Theresienstrasse 37, 80333 Munich, Germany;

    Department of Physics, Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Ludwig-Maximilians-Universitaet Muenchen, Theresienstrasse 37, 80333 Munich, Germany;

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  • 正文语种 eng
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  • 关键词

    lattice fermion models (hubbard model, etc.); quantum monte carlo methods; boson systems;

    机译:格子费米子模型(哈伯德模型等);量子蒙特卡洛方法;玻色子系统;

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