Finite-temperature models of Bose–Einstein condensation
Finite-temperature models of Bose–Einstein condensation
复制标题
玻色-爱因斯坦凝聚的有限温度模型
DOI：
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
B. Jackson
中科院分区：
文献类型：
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作者：
N. Proukakis;B. Jackson
被困弱相互作用玻色-爱因斯坦凝聚体的理论描述具有大量看似非常不同的方法的特征，这些方法是由背景非常不同的研究人员随着时间的推移而开发的。这个领域的新来者，实验学家和年轻的研究人员都面临着相当大的挑战，在丰富的理论模型的“迷宫”中导航，现有方法之间的简单对应关系并不总是非常透明的。本教程提供了一个通用的介绍，这些理论，试图挑出共同的特点和缺陷的某些“类的方法”确定其物理内容，而不是其特定的数学实现。本教程的结构是以一种非专业人士可以访问的方式，具有良好的量子力学工作知识。虽然一些量子场论的概念熟悉将是一个优势，关键的概念，如第二量子化的占领数表示，仍然简要回顾。在一般性介绍之后，从Gross-Pitaevskii方程的基本零温度形式主义开始，逐渐建立模型的复杂性。这种结构使读者能够根据自己的特殊需要探索不同层次的理论发展（平均场，数量守恒和随机）。除了它的“培训元素”，我们希望本教程将证明是有用的活跃的研究人员在这一领域，无论是在不同的理论模型之间的对应关系，并作为现有的和发展中的有限温度理论模型的参考来源。
The theoretical description of trapped weakly interacting Bose–Einstein condensates is characterized by a large number of seemingly very different approaches which have been developed over the course of time by researchers with very distinct backgrounds. Newcomers to this field, experimentalists and young researchers all face a considerable challenge in navigating through the ‘maze’ of abundant theoretical models, and simple correspondences between existing approaches are not always very transparent. This tutorial provides a generic introduction to such theories, in an attempt to single out common features and deficiencies of certain ‘classes of approaches’ identified by their physical content, rather than their particular mathematical implementation. This tutorial is structured in a manner accessible to a non-specialist with a good working knowledge of quantum mechanics. Although some familiarity with concepts of quantum field theory would be an advantage, key notions, such as the occupation number representation of second quantization, are nonetheless briefly reviewed. Following a general introduction, the complexity of models is gradually built up, starting from the basic zero-temperature formalism of the Gross–Pitaevskii equation. This structure enables readers to probe different levels of theoretical developments (mean field, number conserving and stochastic) according to their particular needs. In addition to its ‘training element’, we hope that this tutorial will prove useful to active researchers in this field, both in terms of the correspondences made between different theoretical models, and as a source of reference for existing and developing finite-temperature theoretical models.
影响因子：
2.9
作者：
B. Jackson;N. Proukakis;C. Barenghi
通讯作者：
B. Jackson;N. Proukakis;C. Barenghi