ar X iv : 1 60 1 . 02 68 2 v 2 [ qu an t - ph ] 1 8 M ar 2 01 6 Parametric number covariance in quantum chaotic spectra
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چکیده
We study spectral parametric correlations in quantum chaotic systems and introduce the number covariance as a measure of such correlations. We derive analytic results for the classical random matrix ensembles using the binary correlation method and obtain compact expressions for the covariance. We illustrate the universality of this measure by presenting the spectral analysis of the quantum kicked rotors for the time-reversal invariant and time-reversal non-invariant cases. A local version of the parametric number variance introduced earlier is also investigated.
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تاریخ انتشار 2016