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math-ph2025
Quantum Dynamical Bounds for Quasi-Periodic Operators with Liouville Frequencies
Matthew Bradshaw, Titus de Jong, Wencai Liu +3
We establish quantum dynamical upper bounds for quasi-periodic Schrödinger operators with Liouville frequencies. Our approach combines semi-algebraic discrepancy estimates for the…
math-ph2025
Sharp Polynomial Velocity Decay Bounds for Multidimensional Periodic Schrödinger Operators
Houssam Abdul-Rahman, Jake Fillman, Christoph Fischbacher +1
We investigate periodic Schrödinger operators in arbitrary dimensions in the large coupling regime. Our results establish that both the Lieb--Robinson velocity and the asymptotic v…
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…