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Relaxation process in a regime of quantum chaos

Giulio Casati·Giulio Maspero·Dima L. Shepelyansky
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Abstract

We show that the quantum relaxation process in a classically chaotic open dynamical system is characterized by a quantum relaxation time scale t_q. This scale is much shorter than the Heisenberg time and much larger than the Ehrenfest time: t_q ~ g^alpha where g is the conductance of the system and the exponent alpha is close to 1/2. As a result, quantum and classical decay probabilities remain close up to values P ~ exp(-sqrt(g)) similarly to the case of open disordered systems.

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Giulio Casati, Giulio Maspero, Dima L. Shepelyansky. 1997-10-13. Relaxation process in a regime of quantum chaos. https://doi.org/10.1103/physreve.56.r6233

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