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

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<mark>Journal publication date</mark>05/2003
<mark>Journal</mark>Physical review letters
Issue number20
Pages (from-to)207004
Publication StatusPublished
<mark>Original language</mark>English


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.

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Copyright 2003 American Physical Society.