Document Type
Article
Publication Date
6-1-2025
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.
Publication Source (Journal or Book title)
Letters in Mathematical Physics
Recommended Citation
Yang, F. (2025). Interval spectrum for electric quantum walk and related skew-shift CMV matrices. Letters in Mathematical Physics, 115 (3) https://doi.org/10.1007/s11005-025-01934-z
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