Quantum Poincaré Recurrences

Details Quantum Poincaré Recurrences Quantum Poincaré Recurrences

1998-07-09

arxiv.org/abs/cond-mat/9807145v1

Physics

Condensed Matter

revtex, 4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.82.524

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.

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