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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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
Departments: Faculty of Science and Technology > Physics
ID Code: 668
Deposited By: Dr Henning Schomerus
Deposited On: 31 Oct 2007
Refereed?: Yes
Published?: Published
Last Modified: 18 Jan 2020 02:01
URI: https://eprints.lancs.ac.uk/id/eprint/668

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