# Symmetry constraints on many-body localization

@article{Potter2016SymmetryCO, title={Symmetry constraints on many-body localization}, author={Andrew C. Potter and Romain Vasseur}, journal={Physical Review B}, year={2016}, volume={94}, pages={224206} }

We derive general constraints on the existence of many-body localized (MBL) phases in the presence of global symmetries, and show that MBL is not possible with symmetry groups that protect multiplets (e.g. all non-Abelian symmetry groups). Based on simple representation theoretic considerations, we derive general Mermin-Wagner-type principles governing the possible alternative fates of non-equilibrium dynamics in isolated, strongly disordered quantum systems. Our results rule out the existence…

## 76 Citations

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