摘要翻译：
超冷气体在光学晶格中最有希望的应用之一是将其用作更复杂凝聚态系统的量子模拟器。我们提供了基准计算，基于精确的量子蒙特卡罗模拟，以供仿真器测试。我们报告了二维玻色-哈伯德模型在单位填充因子下的基态相图的结果。我们精确地给出了系统的临界行为，并对小绝缘间隙区δ<j进行了解析，其临界点为(j/u)_c=0.05974(3)，与文献[1]的高阶强耦合展开方法完全一致。1.此外，我们给出了绝缘相内粒子和空穴激发的有效质量数据，并得到了单位填充因子下超流-法向转变的临界温度。
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英文标题：
《Monte Carlo study of two-dimensional Bose-Hubbard model》
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作者：
Barbara Capogrosso-Sansone, \c{S}ebnem G\"une\c{s} S\"oyler, Nikolay
  Prokof'ev, Boris Svistunov
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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：Other Condensed Matter        其他凝聚态物质
分类描述：Work in condensed matter that does not fit into the other cond-mat classifications
在不适合其他cond-mat分类的凝聚态物质中工作
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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：
  One of the most promising applications of ultracold gases in optical lattices is the possibility to use them as quantum emulators of more complex condensed matter systems. We provide benchmark calculations, based on exact quantum Monte Carlo simulations, for the emulator to be tested against. We report results for the ground state phase diagram of the two-dimensional Bose-Hubbard model at unity filling factor. We precisely trace out the critical behavior of the system and resolve the region of small insulating gaps, \Delta << J. The critical point is found to be (J/U)_c=0.05974(3), in perfect agreement with the high-order strong-coupling expansion method of Ref. 1. In addition, we present data for the effective mass of particle and hole excitations inside the insulating phase and obtain the critical temperature for the superfluid-normal transition at unity filling factor.
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PDF链接：
https://arxiv.org/pdf/710.2703