Phase Structure of 1d Interacting Floquet Systems I: Abelian SPTs

C. W. von Keyserlingk; S. L. Sondhi

doi:10.1103/physrevb.93.245145

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arXiv · 1602.02157

Phase Structure of 1d Interacting Floquet Systems I: Abelian SPTs

C. W. von Keyserlingk·S. L. Sondhi

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Abstract

Recent work suggests that a sharp definition of `phase of matter' can be given for some quantum systems out of equilibrium---first for many-body localized systems with time independent Hamiltonians and more recently for periodically driven or Floquet localized systems. In this work we propose a classification of the finite abelian symmetry protected phases of interacting Floquet localized systems in one dimension. We find that the different Floquet phases correspond to elements of $\text{Cl}\times\mathcal{A}_G$, where $\text{Cl}$ is the undriven interacting classification, and $\mathcal{A}_G$ is a set of (twisted) 1d representations of $G$. We will address symmetry broken phases in a subsequent paper.

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C. W. von Keyserlingk, S. L. Sondhi. 2016-07-15. Phase Structure of 1d Interacting Floquet Systems I: Abelian SPTs. https://doi.org/10.1103/physrevb.93.245145

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