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Résumé |
Floquet or periodically driven systems show topological phases that are
qualitatively different from their static counterparts. In this talk I will first
introduce the new kinds of topological phases that can be realized in free-fermion
Floquet systems. I will then show that the edge modes encountered in certain free
fermion Floquet systems are remarkably robust to adding interactions, even in
disorder-free systems where generic bulk quantities can heat to infinite
temperatures due to the periodic driving. This robustness of the edge modes to
heating can be understood in the language of strong modes for free fermion chains,
and almost strong modes for interacting chains. I will then outline a tunneling
calculation for extracting the long lifetimes of these edge modes by mapping the
Heisenberg time-evolution of the edge operator to dynamics of a single particle in
Krylov subspace. |
