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

Jacquod, Ph. and Schomerus, Henning and Beenakker, C. W. J. (2003) Quantum Andreev Map: A Paradigm of Quantum Chaos in Superconductivity. . Physical review letters, 90 (20). p. 207004. ISSN 1079-7114

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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.

Item Type:
Journal Article
Journal or Publication Title:
Physical review letters
Additional Information:
Copyright 2003 American Physical Society.
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
ID Code:
668
Deposited By:
Deposited On:
31 Oct 2007
Refereed?:
Yes
Published?:
Published
Last Modified:
27 May 2020 02:24