Quantum-classical correspondence in the wave functions of Andreev Billiards

A. Kormányos, Z. Kaufmann, J. Cserti, C. J. Lambert

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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.

Original languageEnglish
Article number237002
JournalPhysical review letters
Volume96
Issue number23
DOIs
Publication statusPublished - Jun 19 2006

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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