Intermediate statistics in quantum maps
arXiv:nlin/0403033 · doi:10.1088/0305-4470/37/28/L01
Abstract
We present a one-parameter family of quantum maps whose spectral statistics are of the same intermediate type as observed in polygonal quantum billiards. Our central result is the evaluation of the spectral two-point correlation form factor at small argument, which in turn yields the asymptotic level compressibility for macroscopic correlation lengths.
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