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2016

Chiral Floquet Phases of Many-body Localized Bosons

Po, Hoi Chun, Fidkowski, Lukasz, Morimoto, Takahiro et al.

Understand

We construct and classify chiral topological phases in driven (Floquet) systems of strongly interacting bosons, with finite-dimensional site Hilbert spaces, in two spatial dimensions.

The construction proceeds by introducing exactly soluble models with chiral edges, which in the presence of many-body localization (MBL) in the bulk are argued to lead to stable chiral phases.
These chiral phases do not require any symmetry, and in fact owe their existence to the absence of energy conservation in driven systems.
Surprisingly, we show that they are classified by a quantized many-body index, which is well defined for any MBL Floquet system.