Relaxation process in a regime of quantum chaos
Giulio Casati, Giulio Maspero, Dima L. Shepelyansky
Abstract
We show that the quantum relaxation process in a classically chaotic open dynamical system is characterized by a quantum relaxation time scale tq. This scale is much shorter than the Heisenberg time and much larger than the Ehrenfest time: tq ~ galpha 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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