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Intermediate statistics in quantum maps

Olivier Giraud·Jens Marklof·Stephen O'Keefe
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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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Olivier Giraud, Jens Marklof, Stephen O'Keefe. 2004-03-17. Intermediate statistics in quantum maps. https://doi.org/10.1088/0305-4470%2F37%2F28%2Fl01

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