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
Zusammenfassung: |
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.
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Lizenzbestimmungen: |
CC BY 3.0 Unported - https://creativecommons.org/licenses/by/3.0/
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Publikationstyp: |
Article |
Publikationsstatus: |
publishedVersion |
Erstveröffentlichung: |
2019 |
Schlagwörter (englisch): |
bulk-boundary correspondence, decoupling, quantum walks, split-step, symmetry protected edge states, topological phenomena, Eigenvalues and eigenfunctions, Topology, bulk-boundary correspondence, decoupling, Edge state, Quantum walk, Split step, topological phenomena, Quantum theory
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Fachliche Zuordnung (DDC): |
530 | Physik
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