Diffusion and Localization in Chaotic Billiards
- 2 December 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 77 (23) , 4744-4747
- https://doi.org/10.1103/physrevlett.77.4744
Abstract
We study analytically and numerically the classical diffusive process which takes place in a chaotic billiard. This allows one to estimate the conditions under which the statistical properties of eigenvalues and eigenfunctions can be described by random matrix theory. In particular, the phenomenon of quantum dynamical localization should be observable in real experiments.Keywords
All Related Versions
This publication has 8 references indexed in Scilit:
- Atom Optics Realization of the Quantum-Kicked RotorPhysical Review Letters, 1995
- Quantum ChaosPublished by Cambridge University Press (CUP) ,1995
- Band-random-matrix model for quantum localization in conservative systemsPhysical Review E, 1993
- Experimental study of quantum and classical limits in microwave ionization of rubidium Rydberg atomsPhysical Review Letters, 1991
- Localization of classically chaotic diffusion for hydrogen atoms in microwave fieldsPhysical Review Letters, 1989
- Resonances and Diffusion in Periodic Hamiltonian MapsPhysical Review Letters, 1989
- Microwave Ionization of H Atoms: Breakdown of Classical Dynamics for High FrequenciesPhysical Review Letters, 1988
- Regular and Stochastic MotionPublished by Springer Nature ,1983