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Edge states in a two-dimensional quantum walk with disorder

Alberto Verga 1, 2 
2 CPT - E6 Nanophysique
CPT - Centre de Physique Théorique - UMR 7332
Abstract : We investigate the effect of spatial disorder on the edge states localized at the interface between two topologically different regions. Rotation disorder can localize the quantum walk if it is strong enough to change the topology, otherwise the edge state is protected. Nonlinear spatial disorder, dependent on the walker's state, attracts the walk to the interface even for very large coupling, preserving the ballistic transport characteristic of the clean regime.
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Submitted on : Monday, April 3, 2017 - 11:45:37 AM
Last modification on : Wednesday, March 23, 2022 - 3:25:20 PM
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Alberto Verga. Edge states in a two-dimensional quantum walk with disorder. The European Physical Journal B: Condensed Matter and Complex Systems, Springer-Verlag, 2017, 90 (3), pp.41. ⟨10.1140/epjb/e2017-70433-1⟩. ⟨hal-01500437⟩



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