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Edge states in a two-dimensional quantum walk with disorder

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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Contributor : Alberto Verga <>
Submitted on : Monday, April 3, 2017 - 11:45:37 AM
Last modification on : Friday, December 20, 2019 - 2:04:03 PM
Long-term archiving on: : Tuesday, July 4, 2017 - 12:34:52 PM

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Alberto Verga. Edge states in a two-dimensional quantum walk with disorder. 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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