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arXiv · 2310.10514

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

Yunfeng Shi·Li Wen
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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.

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Yunfeng Shi, Li Wen. 2023-10-16. Diagonalization in a quantum kicked rotor model with non-analytic potential. https://arxiv.org/abs/2310.10514

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