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Quantum-classical correspondence in the wave functions of Andreev billiards

Kormanyos, A. and Kaufmann, Z. and Cserti, J. and Lambert, C. J. (2006) Quantum-classical correspondence in the wave functions of Andreev billiards. Physical Review Letters, 96 (23). -.

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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.

Item Type: Article
Journal or Publication Title: Physical Review Letters
Subjects: Q Science > QC Physics
Departments: Faculty of Science and Technology > Physics
ID Code: 547
Deposited By: Prof Colin J. Lambert
Deposited On: 20 Jun 2007
Refereed?: Yes
Published?: Published
Last Modified: 09 Apr 2014 22:07
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/547

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