Henning Schomerus and Philippe Jacquod 2005 J. Phys. A: Math. Gen. 38 10663 doi:10.1088/0305-4470/38/49/013
Henning Schomerus1 and Philippe Jacquod2,3
Show affiliationsWe 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.
05.45.Mt Quantum chaos; semiclassical methods
81Q20 Semiclassical techniques including WKB and Maslov methods
Issue 49 (9 December 2005)
Received 13 July 2005, in final form 14 October 2005
Published 22 November 2005
Henning Schomerus and Philippe Jacquod 2005 J. Phys. A: Math. Gen. 38 10663
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