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math-ph2025
Semi-algebraic discrepancy estimates for multi-frequency shift sequences with applications to quantum dynamics
Wencai Liu, Matthew Powell, Yiding Max Tang +3
We establish asymptotically sharp semi-algebraic discrepancy estimates for multi-frequency shift sequences. As an application, we obtain novel upper bounds for the quantum dynamics…
math-ph2024
Quantum dynamical bounds for long-range operators with skew-shift potentials
Wencai Liu, Matthew Powell, Xueyin Wang
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-P…