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Quantum Poincaré Recurrences

Giulio Casati·Giulio Maspero·Dima L. Shepelyansky
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Abstract

We show that quantum effects modify the decay rate of Poincaré 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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Giulio Casati, Giulio Maspero, Dima L. Shepelyansky. 1998-07-09. Quantum Poincaré Recurrences. https://doi.org/10.1103/physrevlett.82.524

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