Quantized invariant tori in Andreev billiards of mixed phase space
Z. Kaufmann, A. Kormányos, J. Cserti, C. J. Lambert
DOI 10.1103/PhysRevB.73.214526 · Physical Review B
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Abstract
Comparing the results of exact quantum calculations and those obtained from the Einstein-Brillouin-Keller–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 a numerical confirmation of the validity of this quantization scheme for individual eigenstates and discuss its accuracy.
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