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Scientific article
English

Quantum-to-classical correspondence in open chaotic systems

Published inJournal of physics. A, mathematical and general, vol. 38, no. 49, p. 10663-10682
Publication date2005-12-09
First online date2005-11-22
Abstract

We review properties of open chaotic mesoscopic systems with a finite Ehrenfest time τE. The Ehrenfest time separates a short-time regime of the quantum dynamics, where wave packets closely follow the deterministic classical motion, from a long-time regime of fully-developed wave chaos. For a vanishing Ehrenfest time the quantum systems display a degree of universality which is well described by random-matrix theory. In the semiclassical limit, τE becomes parametrically larger than the scattering time off the boundaries and the dwell time in the system. This results in the emergence of an increasing number of deterministic transport and escape modes, which induce strong deviations from random-matrix universality. We discuss these deviations for a variety of physical phenomena, including shot noise, conductance fluctuations, decay of quasi-bound states and the mesoscopic proximity effect in Andreev billiards.

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Citation (ISO format)
SCHOMERUS, Henning, JACQUOD, Philippe. Quantum-to-classical correspondence in open chaotic systems. In: Journal of physics. A, mathematical and general, 2005, vol. 38, n° 49, p. 10663–10682. doi: 10.1088/0305-4470/38/49/013
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ISSN of the journal0305-4470
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