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Quantum-Classical Correspondence in the Wave Functions of Andreev Billiards

Quantum-Classical Correspondence in the Wave Functions of Andreev Billiards

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 …