Bulk-boundary correspondence for interacting Floquet systems in two
dimensions
- URL: http://arxiv.org/abs/2209.03975v2
- Date: Thu, 27 Oct 2022 04:01:57 GMT
- Title: Bulk-boundary correspondence for interacting Floquet systems in two
dimensions
- Authors: Carolyn Zhang and Michael Levin
- Abstract summary: We present a method for deriving bulk and edge invariants for interacting, many-body localized Floquet systems in two spatial dimensions.
As an application of our method, we derive bulk invariants for Floquet systems without symmetry, as well as for systems with $U(1)$ symmetry.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We present a method for deriving bulk and edge invariants for interacting,
many-body localized Floquet systems in two spatial dimensions. This method is
based on a general mathematical object which we call a flow. As an application
of our method, we derive bulk invariants for Floquet systems without symmetry,
as well as for systems with $U(1)$ symmetry. We also derive new formulations of
previously known single-particle and many-body invariants. For bosonic systems
without symmetry, our invariant gives a bulk counterpart of the rational-valued
GNVW index $\frac{p}{q}$ quantifying transport of quantum information along the
edge.
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