Topological boundary invariants for Floquet systems and quantum walks

Sadel CH, Schulz-Baldes H (2017)


Publication Language: English

Publication Type: Journal article

Publication year: 2017

Journal

Book Volume: 20

Article Number: 22

URI: https://link.springer.com/article/10.1007/s11040-017-9253-1

DOI: 10.1007/s11040-017-9253-1

Abstract

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.

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How to cite

APA:

Sadel, C.H., & Schulz-Baldes, H. (2017). Topological boundary invariants for Floquet systems and quantum walks. Mathematical Physics Analysis and Geometry, 20. https://dx.doi.org/10.1007/s11040-017-9253-1

MLA:

Sadel, Christian Hermann, and Hermann Schulz-Baldes. "Topological boundary invariants for Floquet systems and quantum walks." Mathematical Physics Analysis and Geometry 20 (2017).

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