Interval spectrum for electric quantum walk and related skew-shift CMV matrices
Fan Yang · Letters in Mathematical Physics · 2025
Abstract We show that for a family of quantum walk models with electric fields, the spectrum is the unit circle for any irrational field. The result also holds for the associated CMV matrices defined by skew-shifts, as well as a family of the Blattner and Browne model. Generalizations to CMV matrices with skew-shifts on higher dimensional torus are also obtained.