Topological boundary invariants for Floquet systems and quantum walks

Beitrag in einer Fachzeitschrift


Details zur Publikation

Autorinnen und Autoren: Sadel CH, Schulz-Baldes H
Zeitschrift: Mathematical Physics Analysis and Geometry
Jahr der Veröffentlichung: 2017
ISSN: 1385-0172
Sprache: Englisch


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.


FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Schulz-Baldes, Hermann Prof. Dr.
Professur für Mathematik (Mathematische Physik)


Zitierweisen

APA:
Sadel, C.H., & Schulz-Baldes, H. (2017). Topological boundary invariants for Floquet systems and quantum walks. Mathematical Physics Analysis and Geometry. 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 (2017).

BibTeX: 

Zuletzt aktualisiert 2019-23-01 um 10:08