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Quantum-classical correspondence in the wave functions of Andreev billiards

Research output: Contribution to journalJournal article

Published

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Journal publication date2006
JournalPhysical Review Letters
Journal number23
Volume96
Number of pages4
Pages-
Original languageEnglish

Abstract

We present a classical and quantum mechanical study of an Andreev billiard with a chaotic normal dot. We demonstrate that the nonexact velocity reversal and the diffraction at the edges of the normal-superconductor contact render the classical dynamics of these systems mixed indicating the limitations of a widely used retracing approximation. We point out the close relation between the mixed classical phase space and the properties of the quantum states of Andreev billiards, including periodic orbit scarring and localization of the wave function onto other classical phase space objects such as intermittent regions and quantized tori.