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Anyon Condensation and Its Applications
Annual Review of Condensed Matter Physics ( IF 14.3 ) Pub Date : 2018-03-12 00:00:00 , DOI: 10.1146/annurev-conmatphys-033117-054154
F.J. Burnell 1
Affiliation  

Bose condensation is central to our understanding of quantum phases of matter. Here, we review Bose condensation in topologically ordered phases (also called topological symmetry breaking), where the condensing bosons have nontrivial mutual statistics with other quasiparticles in the system. We give a nontechnical overview of the relationship between the phases before and after condensation, drawing parallels with more familiar symmetry-breaking transitions. We then review two important applications of this phenomenon. First, we describe the equivalence between such condensation transitions and pairs of phases with gappable boundaries, as well as examples where multiple types of gapped boundary between the same two phases exist. Second, we discuss how such transitions can lead to global symmetries that exchange or permute anyon types. Finally, we discuss the nature of the critical point, which can be mapped to a conventional phase transition in some—but not all—cases.

中文翻译:


Anyon凝聚及其应用

玻色凝聚对于我们理解物质的量子相至关重要。在这里,我们回顾了拓扑有序相中的玻色子凝聚(也称为拓扑对称破坏),其中凝聚玻色子与系统中的其他准粒子具有不平凡的相互统计。我们对凝结前后各相之间的关系进行了非技术性概述,并画出了与更熟悉的对称断裂跃迁相似的图。然后,我们回顾此现象的两个重要应用。首先,我们描述了这种缩合跃迁和具有可隙边界的成对相之间的等价关系,以及在相同两相之间存在多种类型的有界边界的示例。其次,我们讨论这种过渡如何导致交换或置换任何onon类型的全局对称。最后,

更新日期:2018-03-12
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