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首页> 外文期刊>Physical review >Variational cluster approach for strongly correlated lattice bosons in the superfluid phase
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Variational cluster approach for strongly correlated lattice bosons in the superfluid phase

机译：超流体相中强相关晶格玻色子的变分簇方法

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摘要

We extend the variational cluster approach to deal with strongly correlated lattice bosons in the superfluid phase. To this end, we reformulate the approach within a pseudoparticle formalism, whereby cluster excitations are described by particlelike excitations. The approximation amounts to solving a multicomponent noninteracting bosonic system by means of a multimode Bogoliubov approximation. A source-and-drain term is introduced in order to break U(l) symmetry at the cluster level. We provide an expression for the grand potential, the single-particle normal and anomalous Green's functions, the condensate density, and other static quantities. As a first nontrivial application of the method we choose the two-dimensional Bose-Hubbard model and evaluate results in both the Mott and the superfluid phases. Our results show an excellent agreement with quantum Monte Carlo calculations.
机译：我们扩展了变分簇方法，以处理超流体相中强相关的晶格玻色子。为此，我们在伪粒子形式主义中重新定义了方法，从而通过类粒子激发来描述簇激发。近似等于通过多模Bogoliubov近似求解多分量非相互作用的Bosonic系统。引入源极和漏极项是为了打破簇级别的U（l）对称性。我们提供了巨大潜力，单粒子正态和反常格林函数，凝结水密度和其他静态量的表达式。作为该方法的第一个非平凡应用，我们选择了二维Bose-Hubbard模型并评估了Mott和超流体相的结果。我们的结果显示了与量子蒙特卡洛计算的出色一致性。

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