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arXiv · 1801.07731

Many-body localization, symmetry, and topology

S. A. Parameswaran·Romain Vasseur
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Abstract

We review recent developments in the study of out-of-equilibrium topological states of matter in isolated systems. The phenomenon of many-body localization, exhibited by some isolated systems usually in the presence of quenched disorder, prevents systems from equilibrating to a thermal state where the delicate quantum correlations necessary for topological order are often washed out. Instead, many-body localized systems can exhibit a type of eigenstate phase structure wherein their entire many-body spectrum is characterized by various types of quantum order, usually restricted to quantum ground states. After introducing many-body localization and explaining how it can protect quantum order, we then explore how the interplay of symmetry and dimensionality with many-body localization constrains its role in stabilizing topological phases out of equilibrium.

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S. A. Parameswaran, Romain Vasseur. 2018-01-23. Many-body localization, symmetry, and topology. https://doi.org/10.1088/1361-6633%2Faac9ed

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