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Diagonalization in a quantum kicked rotor model with non-analytic potential.
- Source :
-
Journal of Differential Equations . May2023, Vol. 355, p334-368. 35p. - Publication Year :
- 2023
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 355
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 162475087
- Full Text :
- https://doi.org/10.1016/j.jde.2023.01.033