Quantum Poincar\'e Recurrences
Condensed Matter
2009-10-31 v1 chao-dyn
Chaotic Dynamics
Abstract
We show that quantum effects modify the decay rate of Poincar\'e recurrences P(t) in classical chaotic systems with hierarchical structure of phase space. The exponent p of the algebraic decay P(t) ~ 1/t^p is shown to have the universal value p=1 due to tunneling and localization effects. Experimental evidence of such decay should be observable in mesoscopic systems and cold atoms.
Cite
@article{arxiv.cond-mat/9807145,
title = {Quantum Poincar\'e Recurrences},
author = {Giulio Casati and Giulio Maspero and Dima L. Shepelyansky},
journal= {arXiv preprint arXiv:cond-mat/9807145},
year = {2009}
}
Comments
revtex, 4 pages, 4 figures