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<p>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.</p>

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Interval spectrum for electric quantum walk and related skew-shift CMV matrices

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月7日

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  • Fan Yang

摘要

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.