摘要翻译：
本章概述了囚禁在周期势中的玻色-爱因斯坦凝聚体(BEC)的性质。在过去的几年里，这个系统引起了广泛的兴趣，一些关于这个领域的优秀评论已经出现在文献中（例如见[1-3]和其中的参考文献）。由于这个原因，也由于发表的大量成果，我们在这里并不假装是全面的，但我们将满足于提供这个主题的丰富的味道，以及一些有用的参考。另一方面，我们的努力也有充分的理由。也许，最重要的是周期势中的BEC是一个真正跨学科的问题，与晶格中的电子、偏振子和光纤中的光子有明显的联系。此外，BEC的实验家已经达到了如此高的精确度，可以说，在实验室中创建了范式哈密尔顿，它最初是作为理想化的理论模型引入的，用于研究动力学不稳定性或量子相变等。
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英文标题：
《Optical Lattices: Theory》
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作者：
A. Smerzi and A. Trombettoni
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最新提交年份：
2008
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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：
  This chapter presents an overview of the properties of a Bose-Einstein condensate (BEC) trapped in a periodic potential. This system has attracted a wide interest in the last years, and a few excellent reviews of the field have already appeared in the literature (see, for instance, [1-3] and references therein). For this reason, and because of the huge amount of published results, we do not pretend here to be comprehensive, but we will be content to provide a flavor of the richness of this subject, together with some useful references. On the other hand, there are good reasons for our effort. Probably, the most significant is that BEC in periodic potentials is a truly interdisciplinary problem, with obvious connections with electrons in crystal lattices, polarons and photons in optical fibers. Moreover, the BEC experimentalists have reached such a high level of accuracy to create in the lab, so to speak, paradigmatic Hamiltonians, which were first introduced as idealized theoretical models to study, among others, dynamical instabilities or quantum phase transitions.
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PDF链接：
https://arxiv.org/pdf/801.4909