Edge states in a two-dimensional quantum walk with disorder
Aix Marseille Université, Centre de Physique Théorique, Campus de Luminy, 13288 Marseille, France
Received: 14 July 2016
Received in final form: 30 December 2016
Published online: 8 March 2017
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.
Key words: Mesoscopic and Nanoscale Systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2017