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

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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

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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.
License of this version: CC BY 3.0 Unported
Document Type: article
Publishing status: publishedVersion
Issue Date: 2019
Appears in Collections:Fakultät für Mathematik und Physik

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1 image of flag of Germany Germany 31 83.78%
2 image of flag of United States United States 2 5.41%
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4 image of flag of Serbia Serbia 1 2.70%
5 image of flag of India India 1 2.70%

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