Localization for magnetic quantum walks
Spectral Theory
2022-01-19 v1 Mathematical Physics
Functional Analysis
math.MP
Quantum Physics
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.
Cite
@article{arxiv.2201.05779,
title = {Localization for magnetic quantum walks},
author = {Fan Yang},
journal= {arXiv preprint arXiv:2201.05779},
year = {2022}
}