Classification of topological phases in periodically driven interacting systems

  title={Classification of topological phases in periodically driven interacting systems},
  author={Dominic V. Else and C. Nayak},
  journal={Physical Review B},
We consider topological phases in periodically driven (Floquet) systems exhibiting many-body localization, protected by a symmetry $G$. We argue for a general correspondence between such phases and topological phases of undriven systems protected by symmetry $\mathbb{Z} \rtimes G$, where the additional $\mathbb{Z}$ accounts for the discrete time translation symmetry. Thus, for example, the bosonic phases in $d$ spatial dimensions without intrinsic topological order (SPT phases) are classified… 

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