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Quantum Andreev Map: A Paradigm of Quantum Chaos in Superconductivity. .

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Quantum Andreev Map: A Paradigm of Quantum Chaos in Superconductivity. . / Jacquod, Ph.; Schomerus, Henning; Beenakker, C. W. J.
In: Physical review letters, Vol. 90, No. 20, 05.2003, p. 207004.

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

Harvard

Jacquod, P, Schomerus, H & Beenakker, CWJ 2003, 'Quantum Andreev Map: A Paradigm of Quantum Chaos in Superconductivity. .', Physical review letters, vol. 90, no. 20, pp. 207004. https://doi.org/10.1103/PhysRevLett.90.207004

APA

Jacquod, P., Schomerus, H., & Beenakker, C. W. J. (2003). Quantum Andreev Map: A Paradigm of Quantum Chaos in Superconductivity. . Physical review letters, 90(20), 207004. https://doi.org/10.1103/PhysRevLett.90.207004

Vancouver

Jacquod P, Schomerus H, Beenakker CWJ. Quantum Andreev Map: A Paradigm of Quantum Chaos in Superconductivity. . Physical review letters. 2003 May;90(20):207004. doi: 10.1103/PhysRevLett.90.207004

Author

Jacquod, Ph. ; Schomerus, Henning ; Beenakker, C. W. J. / Quantum Andreev Map: A Paradigm of Quantum Chaos in Superconductivity. . In: Physical review letters. 2003 ; Vol. 90, No. 20. pp. 207004.

Bibtex

@article{43875031163b41c19b8a24ae2b5d8f70,
title = "Quantum Andreev Map: A Paradigm of Quantum Chaos in Superconductivity. .",
abstract = "We introduce quantum maps with particle-hole conversion (Andreev reflection) and particle-hole symmetry, which exhibit the same excitation gap as quantum dots in the proximity to a superconductor. Computationally, the Andreev maps are much more efficient than billiard models of quantum dots. This makes it possible to test analytical predictions of random-matrix theory and semiclassical chaos that were previously out of reach of computer simulations. We have observed the universal distribution of the excitation gap for a large Lyapunov exponent and the logarithmic reduction of the gap when the Ehrenfest time becomes comparable to the quasiparticle dwell time.",
author = "Ph. Jacquod and Henning Schomerus and Beenakker, {C. W. J.}",
note = "Copyright 2003 American Physical Society.",
year = "2003",
month = may,
doi = "10.1103/PhysRevLett.90.207004",
language = "English",
volume = "90",
pages = "207004",
journal = "Physical review letters",
issn = "1079-7114",
publisher = "American Physical Society",
number = "20",

}

RIS

TY - JOUR

T1 - Quantum Andreev Map: A Paradigm of Quantum Chaos in Superconductivity. .

AU - Jacquod, Ph.

AU - Schomerus, Henning

AU - Beenakker, C. W. J.

N1 - Copyright 2003 American Physical Society.

PY - 2003/5

Y1 - 2003/5

N2 - We introduce quantum maps with particle-hole conversion (Andreev reflection) and particle-hole symmetry, which exhibit the same excitation gap as quantum dots in the proximity to a superconductor. Computationally, the Andreev maps are much more efficient than billiard models of quantum dots. This makes it possible to test analytical predictions of random-matrix theory and semiclassical chaos that were previously out of reach of computer simulations. We have observed the universal distribution of the excitation gap for a large Lyapunov exponent and the logarithmic reduction of the gap when the Ehrenfest time becomes comparable to the quasiparticle dwell time.

AB - We introduce quantum maps with particle-hole conversion (Andreev reflection) and particle-hole symmetry, which exhibit the same excitation gap as quantum dots in the proximity to a superconductor. Computationally, the Andreev maps are much more efficient than billiard models of quantum dots. This makes it possible to test analytical predictions of random-matrix theory and semiclassical chaos that were previously out of reach of computer simulations. We have observed the universal distribution of the excitation gap for a large Lyapunov exponent and the logarithmic reduction of the gap when the Ehrenfest time becomes comparable to the quasiparticle dwell time.

U2 - 10.1103/PhysRevLett.90.207004

DO - 10.1103/PhysRevLett.90.207004

M3 - Journal article

VL - 90

SP - 207004

JO - Physical review letters

JF - Physical review letters

SN - 1079-7114

IS - 20

ER -