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Quantum-to-classical correspondence in open chaotic systems.

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Quantum-to-classical correspondence in open chaotic systems. / Schomerus, Henning; Jacquod, Philippe.
In: Journal of Physics A: Mathematical and General , Vol. 38, No. 49, 09.12.2005, p. 10663-10682.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Schomerus, H & Jacquod, P 2005, 'Quantum-to-classical correspondence in open chaotic systems.', Journal of Physics A: Mathematical and General , vol. 38, no. 49, pp. 10663-10682. https://doi.org/10.1088/0305-4470/38/49/013

APA

Schomerus, H., & Jacquod, P. (2005). Quantum-to-classical correspondence in open chaotic systems. Journal of Physics A: Mathematical and General , 38(49), 10663-10682. https://doi.org/10.1088/0305-4470/38/49/013

Vancouver

Schomerus H, Jacquod P. Quantum-to-classical correspondence in open chaotic systems. Journal of Physics A: Mathematical and General . 2005 Dec 9;38(49):10663-10682. doi: 10.1088/0305-4470/38/49/013

Author

Schomerus, Henning ; Jacquod, Philippe. / Quantum-to-classical correspondence in open chaotic systems. In: Journal of Physics A: Mathematical and General . 2005 ; Vol. 38, No. 49. pp. 10663-10682.

Bibtex

@article{7cecded2a2a44b2aadf47651ef48b2c9,
title = "Quantum-to-classical correspondence in open chaotic systems.",
abstract = "We review properties of open chaotic mesoscopic systems with a finite Ehrenfest time {\"I}�E. 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, {\"I}�E 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.",
author = "Henning Schomerus and Philippe Jacquod",
year = "2005",
month = dec,
day = "9",
doi = "10.1088/0305-4470/38/49/013",
language = "English",
volume = "38",
pages = "10663--10682",
journal = "Journal of Physics A: Mathematical and General ",
issn = "0305-4470",
publisher = "IOP Publishing Ltd",
number = "49",

}

RIS

TY - JOUR

T1 - Quantum-to-classical correspondence in open chaotic systems.

AU - Schomerus, Henning

AU - Jacquod, Philippe

PY - 2005/12/9

Y1 - 2005/12/9

N2 - We review properties of open chaotic mesoscopic systems with a finite Ehrenfest time �E. 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, �E 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.

AB - We review properties of open chaotic mesoscopic systems with a finite Ehrenfest time �E. 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, �E 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.

U2 - 10.1088/0305-4470/38/49/013

DO - 10.1088/0305-4470/38/49/013

M3 - Journal article

VL - 38

SP - 10663

EP - 10682

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 49

ER -