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Anderson localization for the multi-frequency quasi-periodic CMV matrices and quantum walks

Published 21 Feb 2025 in math.SP | (2502.15284v1)

Abstract: In this paper, we establish Anderson localization for the CMV matrices with multi-frequency analytic quasi-periodic Verblunsky coefficients in the regime of the positive Lyapunov exponent. As an application, we further derive the Anderson localization for the multi-frequency analytic quasi-periodic quantum walks. We extend the results of Wang and Damanik (J. Funct. Anal. 276 (2019)) for one-frequency quasi-periodic CMV matrices to multi-frequency case.

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