Localization for magnetic quantum walks

Published 15 Jan 2022 in math.SP, math-ph, math.FA, math.MP, and quant-ph | (2201.05779v1)

Abstract: We prove Anderson localization for all Diophantine frequencies and all non-resonant phases for a model that arises from 2D quantum walk model subject to an external magnetic field. This is the first localization result for all Diophantine frequencies in the magnetic quantum walk and the quasi-periodic CMV setting. We also obtain sharp asymptotics of the localized eigenfunctions.

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Authors (1)

Fan Yang

Citations (5)

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