Quantum dynamical bounds for long-range operators with skew-shift potentials
Mathematical Physics
2024-11-04 v1 math.MP
Number Theory
Spectral Theory
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.
Keywords
Cite
@article{arxiv.2411.00176,
title = {Quantum dynamical bounds for long-range operators with skew-shift potentials},
author = {Wencai Liu and Matthew Powell and Xueyin Wang},
journal= {arXiv preprint arXiv:2411.00176},
year = {2024}
}
Comments
23 pages, comments welcome!