2016/02/29 by C. W. von Keyserlingk, S. L. Sondhi · 1 citation
Physics and Astronomy · #cond-mat.str-el #cond-mat.dis-nn
paper · pdf · doi:10.1103/physrevb.93.245145
published as Phys. Rev. B 93, 245145 (2016) · 21 pages. Explained connection to the classification schemes in other recent work. Close to published version
arxiv created 2016/07/15 · arxiv updated 2016/07/19
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 Cl\timesAG, where Cl is the undriven interacting classification, and AG is a set of (twisted) 1d representations of G. We will address symmetry broken phases in a subsequent paper.