Topological quantum matter with cold atoms

IF 35 1区 物理与天体物理 Q1 PHYSICS, CONDENSED MATTER Advances in Physics Pub Date : 2018-10-02 DOI:10.1080/00018732.2019.1594094
Dan-Wei Zhang, Yan-Qing Zhu, Y. Zhao, Hui Yan, Shi-Liang Zhu
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引用次数: 213

Abstract

This is an introductory review of the physics of topological quantum matter with cold atoms. Topological quantum phases, originally discovered and investigated in condensed matter physics, have recently been explored in a range of different systems, which produced both fascinating physics findings and exciting opportunities for applications. Among the physical systems that have been considered to realize and probe these intriguing phases, ultracold atoms become promising platforms due to their high flexibility and controllability. Quantum simulation of topological phases with cold atomic gases is a rapidly evolving field, and recent theoretical and experimental developments reveal that some toy models originally proposed in condensed matter physics have been realized with this artificial quantum system. The purpose of this article is to introduce these developments. The article begins with a tutorial review of topological invariants and the methods to control parameters in the Hamiltonians of neutral atoms. Next, topological quantum phases in optical lattices are introduced in some detail, especially several celebrated models, such as the Su–Schrieffer–Heeger model, the Hofstadter–Harper model, the Haldane model and the Kane–Mele model. The theoretical proposals and experimental implementations of these models are discussed. Notably, many of these models cannot be directly realized in conventional solid-state experiments. The newly developed methods for probing the intrinsic properties of the topological phases in cold-atom systems are also reviewed. Finally, some topological phases with cold atoms in the continuum and in the presence of interactions are discussed, and an outlook on future work is given.
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具有冷原子的拓扑量子物质
这是对具有冷原子的拓扑量子物质物理学的介绍性综述。拓扑量子相最初是在凝聚态物理学中发现和研究的,最近在一系列不同的系统中进行了探索,这产生了引人入胜的物理学发现和令人兴奋的应用机会。在被认为可以实现和探测这些有趣相的物理系统中,超冷原子由于其高度的灵活性和可控性而成为有前途的平台。用冷原子气体对拓扑相进行量子模拟是一个快速发展的领域,最近的理论和实验发展表明,最初在凝聚态物理学中提出的一些玩具模型已经用这种人工量子系统实现了。这篇文章的目的是介绍这些发展。本文首先介绍了拓扑不变量和控制中性原子哈密顿量中参数的方法。接下来,详细介绍了光学晶格中的拓扑量子相,特别是一些著名的模型,如Su–Schrieffer–Heeger模型、Hofstadter–Harper模型、Haldane模型和Kane–Mele模型。讨论了这些模型的理论建议和实验实现。值得注意的是,这些模型中的许多不能在传统的固态实验中直接实现。还综述了新发展的探测冷原子系统拓扑相本征性质的方法。最后,讨论了一些连续介质中存在相互作用的冷原子拓扑相,并对未来的工作进行了展望。
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来源期刊
Advances in Physics
Advances in Physics 物理-物理:凝聚态物理
CiteScore
67.60
自引率
0.00%
发文量
1
期刊介绍: Advances in Physics publishes authoritative critical reviews by experts on topics of interest and importance to condensed matter physicists. It is intended for motivated readers with a basic knowledge of the journal’s field and aims to draw out the salient points of a reviewed subject from the perspective of the author. The journal''s scope includes condensed matter physics and statistical mechanics: broadly defined to include the overlap with quantum information, cold atoms, soft matter physics and biophysics. Readership: Physicists, materials scientists and physical chemists in universities, industry and research institutes.
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