Quantum dynamical bounds for long-range operators with skew-shift potentials

2024/10/31 by Wencai Liu, Matthew Powell, Liu, Wencai +3 · 1 citation
Mathematics · Physics and Astronomy · #Spectral Theory in Mathematical Physics #Numerical methods in inverse problems #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.2411.00176

Abstract

We employ Weyl's method and Vinogradov's method to analyze skew-shift dynamics on semi-algebraic sets. Consequently, we improve the quantum dynamical upper bounds of Jitomirskaya-Powell, Liu, and Shamis-Sodin for long-range operators with skew-shift potentials.

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• Quantum Dynamical Bounds for Quasi-Periodic Operators with Liouville Frequencies

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