Schedule Sep 22, 2016
Symmetry constraints far from equilibrium
Romain Vasseur, UC Berkeley & KITP

In this talk, I will describe some general constraints on the existence of many-body localized (MBL) phases in the presence of global symmetries. Based only on representation theory, I will derive some general Mermin-Wagner-type principles governing the possible fates of non-equilibrium dynamics in isolated, disordered quantum systems. In particular, I will show that MBL cannot exist in the presence of non-Abelian symmetries. Consequences for the classification of MBL protected topological phases (and Floquet phases) will be discussed.

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