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

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2025-05-07 DOI:10.1007/s11005-025-01934-z

Fan Yang

引用次数: 0

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.

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电量子行走的间隔谱和相关的斜移CMV矩阵

我们证明了对于一类带电场的量子行走模型，谱是任意非理性场的单位圆。该结果也适用于由斜移定义的相关CMV矩阵，以及Blattner和Browne模型的一个家族。对高维环面上具有斜移的CMV矩阵也进行了推广。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.