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Quantum-classical correspondence in the wavefunctions of Andreev billiards

A. Kormanyos·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 in general the classical dynamics of these normal-superconductor hybrid systems is mixed, thereby indicating the limitations of a widely used retracing approximation. We show that the mixed classical dynamics gives rise to a wealth of wavefunction phenomena, including periodic orbit scarring and localization of the wavefunction onto other classical phase space objects such as intermittent regions and quantized tori.

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A. Kormanyos, Z. Kaufmann, J. Cserti, C. J. Lambert. 2005-06-24. Quantum-classical correspondence in the wavefunctions of Andreev billiards. https://doi.org/10.1103/physrevlett.96.237002

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