A Floquet systems is a periodically driven quantum system. It can be described by a Floquet operator. If this unitary operator has a gap in the spectrum, then one can define associated topological bulk invariants which can either only depend on the bands of the Floquet operator or also on the time as a variable. It is shown how a K-theoretic result combined with the bulk-boundary correspondence leads to edge invariants for the half-space Floquet operators. These results also apply to topological quantum walks.
CITATION STYLE
Sadel, C., & Schulz-Baldes, H. (2017). Topological Boundary Invariants for Floquet Systems and Quantum Walks. Mathematical Physics Analysis and Geometry, 20(4). https://doi.org/10.1007/s11040-017-9253-1
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