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摘要翻译：
我们提出了用$\mathrm{U}(1)$量子转子描述玻色-哈伯德模型的新方法。有效的行动形式使我们可以把一个问题表述为一个阶段的行动，并得到临界线的解析公式。我们证明了非平凡的$\mathrm{U}(1)$相场结构对相图有影响。量子场的拓扑性质是由整数电荷缠绕数的项所决定的。与最近获得的量子蒙特卡罗数值计算结果的比较表明，我们的模型正确地捕捉到了强相互作用玻色子系统中量子效应之间的竞争。
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英文标题：
《Quantum rotor description of the Mott-insulator transition in the
Bose-Hubbard model》
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作者：
T. P. Polak and T. K. Kope\'c
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
We present the novel approach to the Bose-Hubbard model using the $\mathrm{U}(1)$ quantum rotor description. The effective action formalism allows us to formulate a problem in the phase only action and obtain an analytical formulas for the critical lines. We show that the nontrivial $\mathrm{U}(1)$ phase field configurations have an impact on the phase diagrams. The topological character of the quantum field is governed by terms of the integer charges - winding numbers. The comparison presented results to recently obtained quantum Monte Carlo numerical calculations suggests that the competition between quantum effects in strongly interacting boson systems is correctly captured by our model.
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PDF链接：
https://arxiv.org/pdf/707.4383
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