Eigenvalue measurement of topologically protected edge states in split-step quantum walks
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 investigatin...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2019-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ab12fa |
| _version_ | 1797750173738205184 |
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| author | Thomas Nitsche Tobias Geib Christoph Stahl Lennart Lorz Christopher Cedzich Sonja Barkhofen Reinhard F Werner Christine Silberhorn |
| author_facet | Thomas Nitsche Tobias Geib Christoph Stahl Lennart Lorz Christopher Cedzich Sonja Barkhofen Reinhard F Werner Christine Silberhorn |
| author_sort | Thomas Nitsche |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T16:29:52Z |
| format | Article |
| id | doaj.art-dc498951e4ae42299e9a51777829e1a8 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:29:52Z |
| publishDate | 2019-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-dc498951e4ae42299e9a51777829e1a82023-08-08T15:35:20ZengIOP PublishingNew Journal of Physics1367-26302019-01-0121404303110.1088/1367-2630/ab12faEigenvalue measurement of topologically protected edge states in split-step quantum walksThomas Nitsche0https://orcid.org/0000-0002-8353-4563Tobias Geib1Christoph Stahl2Lennart Lorz3Christopher Cedzich4Sonja Barkhofen5Reinhard F Werner6Christine Silberhorn7Applied Physics, University of Paderborn , Warburger Straße 100, D-33098 Paderborn, GermanyInstitut für Theoretische Physik, Leibniz Universität Hannover , Appelstr. 2, D-30167 Hannover, GermanyInstitut für Theoretische Physik, Leibniz Universität Hannover , Appelstr. 2, D-30167 Hannover, GermanyApplied Physics, University of Paderborn , Warburger Straße 100, D-33098 Paderborn, GermanyInstitut für Theoretische Physik, Leibniz Universität Hannover , Appelstr. 2, D-30167 Hannover, Germany; Institut für Theoretische Physik, Universität zu Köln , Zülpicher Straße 77, D-50937 Köln, GermanyApplied Physics, University of Paderborn , Warburger Straße 100, D-33098 Paderborn, GermanyInstitut für Theoretische Physik, Leibniz Universität Hannover , Appelstr. 2, D-30167 Hannover, GermanyApplied Physics, University of Paderborn , Warburger Straße 100, D-33098 Paderborn, GermanyWe 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.https://doi.org/10.1088/1367-2630/ab12faquantum walkstopological phenomenasymmetry protected edge statessplit-stepbulk-boundary correspondencedecoupling |
| spellingShingle | Thomas Nitsche Tobias Geib Christoph Stahl Lennart Lorz Christopher Cedzich Sonja Barkhofen Reinhard F Werner Christine Silberhorn Eigenvalue measurement of topologically protected edge states in split-step quantum walks New Journal of Physics quantum walks topological phenomena symmetry protected edge states split-step bulk-boundary correspondence decoupling |
| title | Eigenvalue measurement of topologically protected edge states in split-step quantum walks |
| title_full | Eigenvalue measurement of topologically protected edge states in split-step quantum walks |
| title_fullStr | Eigenvalue measurement of topologically protected edge states in split-step quantum walks |
| title_full_unstemmed | Eigenvalue measurement of topologically protected edge states in split-step quantum walks |
| title_short | Eigenvalue measurement of topologically protected edge states in split-step quantum walks |
| title_sort | eigenvalue measurement of topologically protected edge states in split step quantum walks |
| topic | quantum walks topological phenomena symmetry protected edge states split-step bulk-boundary correspondence decoupling |
| url | https://doi.org/10.1088/1367-2630/ab12fa |
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