Eigenvalue measurement of topologically protected edge states in split-step quantum walks

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dc.identifier.uri http://dx.doi.org/10.15488/10404
dc.identifier.uri https://www.repo.uni-hannover.de/handle/123456789/10478
dc.contributor.author Nitsche, Thomas
dc.contributor.author Geib, Tobias
dc.contributor.author Stahl, Christoph
dc.contributor.author Lorz, Lennart
dc.contributor.author Cedzich, Christopher
dc.contributor.author Barkhofen, Sonja
dc.contributor.author Werner, Reinhard F
dc.contributor.author Silberhorn, Christine
dc.date.accessioned 2021-02-16T12:48:33Z
dc.date.available 2021-02-16T12:48:33Z
dc.date.issued 2019
dc.identifier.citation Nitsche, T.; Geib, T.; Stahl, C.; Lorz, L.; Cedzich, C. et al.: Eigenvalue measurement of topologically protected edge states in split-step quantum walks. In: New Journal of Physics 21 (2019), Nr. 4, 43031. DOI: https://doi.org/10.1088/1367-2630/ab12fa
dc.description.abstract We study topological phenomena of quantum walks by implementing a novel protocol that extends the range of accessible properties to the eigenvalues of the walk operator. To this end, we experimentally realise for the first time a split-step quantum walk with decoupling, which allows for investigating the effect of a bulk-boundary while realising only a single bulk configuration. The experimental platform is implemented with the well-established time-multiplexing architecture based on fibre-loops and coherent input states. The symmetry protected edge states are approximated with high similarities and we read-out the phase relative to a reference for all modes. In this way we observe eigenvalues which are distinguished by the presence or absence of sign flips between steps. Furthermore, the results show that investigating a bulk-boundary with a single bulk is experimentally feasible when decoupling the walk beforehand. eng
dc.language.iso eng
dc.publisher Bristol : Institute of Physics Publishing
dc.relation.ispartofseries New Journal of Physics 21 (2019), Nr. 4
dc.rights CC BY 3.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by/3.0/
dc.subject bulk-boundary correspondence eng
dc.subject decoupling eng
dc.subject quantum walks eng
dc.subject split-step eng
dc.subject symmetry protected edge states eng
dc.subject topological phenomena eng
dc.subject Eigenvalues and eigenfunctions eng
dc.subject Topology eng
dc.subject bulk-boundary correspondence eng
dc.subject decoupling eng
dc.subject Edge state eng
dc.subject Quantum walk eng
dc.subject Split step eng
dc.subject topological phenomena eng
dc.subject Quantum theory eng
dc.subject.ddc 530 | Physik ger
dc.title Eigenvalue measurement of topologically protected edge states in split-step quantum walks
dc.type article
dc.type Text
dc.relation.issn 1367-2630
dc.relation.doi https://doi.org/10.1088/1367-2630/ab12fa
dc.bibliographicCitation.issue 4
dc.bibliographicCitation.volume 21
dc.bibliographicCitation.firstPage 43031
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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