Diagonalization in a quantum kicked rotor model with non-analytic potential
Mathematical Physics
2023-10-17 v1 math.MP
Abstract
In this paper we study the lattice quasi-periodic operators with power-law long-range hopping and meromorphic monotone potentials, and diagonalize the operators via a Nash-Moser iteration scheme. As applications, we obtain uniform power-law localization, uniform dynamical localization and Lipschitz continuity of the integrated density of states (IDS) for such operators. Our main motivation comes from investigating quantum suppression of chaos in a quantum kicked rotor model with non-analytical potential.
Cite
@article{arxiv.2310.10514,
title = {Diagonalization in a quantum kicked rotor model with non-analytic potential},
author = {Yunfeng Shi and Li Wen},
journal= {arXiv preprint arXiv:2310.10514},
year = {2023}
}