Quantized invariant tori in Andreev billiards of mixed phase space

Abstract

Comparing the results of exact quantum calculations and those obtained from the EBK-like quantization scheme of Silvestrov et al [Phys. Rev. Lett. 90, 116801 (2003)] we show that the spectrum of Andreev billiards of mixed phase space can basically be decomposed into a regular and an irregular part, similarly to normal billiards. We provide the first numerical confirmation of the validity of this quantization scheme for individual eigenstates and discuss its accuracy.

4 pages, 2 figures

References in corpus (5)

• Andreev billiards
• Adiabatic quantization of Andreev levels
• Effective Random Matrix Theory description of chaotic Andreev billiards
• Quantum-to-classical crossover for Andreev billiards in a magnetic field
• Quantum-classical correspondence in the wavefunctions of Andreev billiards