Scaling behavior of localization in quantum chaos
- 1 January 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 64 (1), 5-8
- https://doi.org/10.1103/physrevlett.64.5
Abstract
The kicked rotator on a torus is a system with a bounded phase space in which a chaotic diffusion occurs for a large enough perturbation strength. The quantum version of this model exhibits localization effects which produce deviations from random-matrix-theory predictions. We show that these localization effects display a scaling behavior which is a counterpart of the scaling theory of one-dimensional Anderson localization in finite samples. We suggest that this behavior can be highly relevant to some general problems of quantum chaos.Keywords
This publication has 19 references indexed in Scilit:
- Intermediate statistics of the quasi-energy spectrum and quantum localisation of classical chaosJournal of Physics A: General Physics, 1989
- Anderson Transition in a One-Dimensional System with Three Incommensurate FrequenciesPhysical Review Letters, 1989
- Quantum localization and statistics of quasienergy spectrum in a classically chaotic systemPhysics Letters A, 1988
- Hydrogen atom in monochromatic field: chaos and dynamical photonic localizationIEEE Journal of Quantum Electronics, 1988
- Chaotic stucture of eigenfunctions in systems with maximal quantum chaosPhysics Letters A, 1987
- Relevance of classical chaos in quantum mechanics: The hydrogen atom in a monochromatic fieldPhysics Reports, 1987
- Evolution and exact eigenstates of a resonant quantum systemPhysical Review A, 1986
- Limiting quasienergy statistics for simple quantum systemsPhysical Review Letters, 1986
- Chaos, Quantum Recurrences, and Anderson LocalizationPhysical Review Letters, 1982
- Stochastic Behavior in Classical and Quantum Hamiltonian SystemsLecture Notes in Physics, 1979