期刊
JOURNAL OF DIFFERENTIAL EQUATIONS
卷 355, 期 -, 页码 334-368出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2023.01.033
关键词
Nash-Moser iteration; Quasi-periodic operators; Localization; Power-law hopping; Lipschitz continuity of the IDS
类别
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.
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.
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