Details
| Original language | English |
|---|---|
| Article number | 043031 |
| Journal | New Journal of Physics |
| Volume | 21 |
| Issue number | 4 |
| Early online date | 15 Apr 2019 |
| Publication status | Published - Apr 2019 |
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.
Keywords
- bulk-boundary correspondence, decoupling, quantum walks, split-step, symmetry protected edge states, topological phenomena
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: New Journal of Physics, Vol. 21, No. 4, 043031, 04.2019.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Eigenvalue Measurement of Topologically Protected Edge states in Split-Step Quantum Walks
AU - Nitsche, Thomas
AU - Geib, Tobias
AU - Stahl, Christoph
AU - Lorz, Lennart
AU - Cedzich, Christopher
AU - Barkhofen, Sonja
AU - Werner, Reinhard F.
AU - Silberhorn, Christine
PY - 2019/4
Y1 - 2019/4
N2 - 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.
AB - 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.
KW - bulk-boundary correspondence
KW - decoupling
KW - quantum walks
KW - split-step
KW - symmetry protected edge states
KW - topological phenomena
UR - http://www.scopus.com/inward/record.url?scp=85067617293&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1811.09520
DO - 10.48550/arXiv.1811.09520
M3 - Article
VL - 21
JO - New Journal of Physics
JF - New Journal of Physics
SN - 1367-2630
IS - 4
M1 - 043031
ER -