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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∝g^α where g is the conductance of the system and the exponent α is close to 1/2. As a result, quantum and classical decay probabilities remain close up to values P~exp(-√g) similarly to the case of open disordered systems.
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Casati et al. (1997) studied this question.
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