Edge states in a two-dimensional quantum walk with disorder

Regular Article

DOI: 10.1140/epjb/e2017-70433-1

Cite this article as:
Verga, A.D. Eur. Phys. J. B (2017) 90: 41. doi:10.1140/epjb/e2017-70433-1

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.

Keywords

Mesoscopic and Nanoscale Systems 

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Aix Marseille Université, Centre de Physique Théorique, Campus de LuminyMarseilleFrance

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