Journal
REPORTS ON PROGRESS IN PHYSICS
Volume 81, Issue 8, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-6633/aac9ed
Keywords
localization; topological phases; non-equilibrium phenomena
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Funding
- NSF at the University of California, Irvine [DMR-1455366]
- University of Massachusetts
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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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