Probing the topological Anderson transition with quantum walks

We consider one-dimensional quantum walks in optical linear networks with synthetically introduced disorder and tunable system parameters allowing for the engineered realization of distinct topological phases. The option to directly monitor the walker's probability distribution makes this optic...

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Main Authors: Dmitry Bagrets, Kun Woo Kim, Sonja Barkhofen, Syamsundar De, Jan Sperling, Christine Silberhorn, Alexander Altland, Tobias Micklitz
Format: Article
Language:English
Published: American Physical Society 2021-06-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.023183
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author Dmitry Bagrets
Kun Woo Kim
Sonja Barkhofen
Syamsundar De
Jan Sperling
Christine Silberhorn
Alexander Altland
Tobias Micklitz
author_facet Dmitry Bagrets
Kun Woo Kim
Sonja Barkhofen
Syamsundar De
Jan Sperling
Christine Silberhorn
Alexander Altland
Tobias Micklitz
author_sort Dmitry Bagrets
collection DOAJ
description We consider one-dimensional quantum walks in optical linear networks with synthetically introduced disorder and tunable system parameters allowing for the engineered realization of distinct topological phases. The option to directly monitor the walker's probability distribution makes this optical platform ideally suited for the experimental observation of the unique signatures of the one-dimensional topological Anderson transition. We analytically calculate the probability distribution describing the quantum critical walk in terms of a (time-staggered) spin polarization signal and propose a concrete experimental protocol for its measurement. Numerical simulations back the realizability of our blueprint with current date experimental hardware.
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spelling doaj.art-798bfefa1456490897a5907cd111aa1b2024-04-12T17:10:32ZengAmerican Physical SocietyPhysical Review Research2643-15642021-06-013202318310.1103/PhysRevResearch.3.023183Probing the topological Anderson transition with quantum walksDmitry BagretsKun Woo KimSonja BarkhofenSyamsundar DeJan SperlingChristine SilberhornAlexander AltlandTobias MicklitzWe consider one-dimensional quantum walks in optical linear networks with synthetically introduced disorder and tunable system parameters allowing for the engineered realization of distinct topological phases. The option to directly monitor the walker's probability distribution makes this optical platform ideally suited for the experimental observation of the unique signatures of the one-dimensional topological Anderson transition. We analytically calculate the probability distribution describing the quantum critical walk in terms of a (time-staggered) spin polarization signal and propose a concrete experimental protocol for its measurement. Numerical simulations back the realizability of our blueprint with current date experimental hardware.http://doi.org/10.1103/PhysRevResearch.3.023183
spellingShingle Dmitry Bagrets
Kun Woo Kim
Sonja Barkhofen
Syamsundar De
Jan Sperling
Christine Silberhorn
Alexander Altland
Tobias Micklitz
Probing the topological Anderson transition with quantum walks
Physical Review Research
title Probing the topological Anderson transition with quantum walks
title_full Probing the topological Anderson transition with quantum walks
title_fullStr Probing the topological Anderson transition with quantum walks
title_full_unstemmed Probing the topological Anderson transition with quantum walks
title_short Probing the topological Anderson transition with quantum walks
title_sort probing the topological anderson transition with quantum walks
url http://doi.org/10.1103/PhysRevResearch.3.023183
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