Effective response theory for Floquet topological systems

Abstract

We present an effective field theory approach to the topological response of Floquet systems with symmetry group $G$. This is achieved by introducing a background $G$ gauge field in the Schwinger-Keldysh formalism, which is suitable for far from equilibrium systems. We carry out this program for chiral topological Floquet systems (anomalous Floquet-Anderson insulators) in two spatial dimensions, and the group cohomology models of topological Floquet unitaries. These response actions serve as many-body topological invariants for topological Floquet unitaries. The effective action approach also leads us to propose novel topological response functions.

arXiv comment25 pages, 8 figures; v.2 references added, misprints corrected, improved explanations, improved plots

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Cited by in corpus (11)

• Many-body topology of non-Hermitian systems
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• Three-dimensional quantum cellular automata from chiral semion surface topological order and beyond
• Topological gauge theory for mixed Dirac stationary states in all dimensions
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• Quantized Chern-Simons Axion Coupling in Anomalous Floquet Systems