Diagonalization in a quantum kicked rotor model with non-analytic potential

In this paper we study the lattice quasi-periodic operators with power-law long-range hopping and mero-morphic monotone potentials, and diagonalize the operators via a Nash-Moser iteration scheme. As appli-cations, 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.(c) 2023 Elsevier Inc. All rights reserved.

Automated summary

In this paper, we investigate lattice quasi-periodic operators with power-law long-range hopping and meromorphic monotone potentials. We diagonalize the operators using a Nash-Moser iteration scheme. As applications, we establish uniform power-law localization, uniform dynamical localization, and Lipschitz continuity of the integrated density of states (IDS) for such operators. Our main motivation is to study quantum suppression of chaos in a quantum kicked rotor model with a non-analytic potential.