Parametric Number Covariance in Quantum Chaotic Spectra
arXiv:1601.02682 · doi:10.1103/PhysRevE.93.032217
Abstract
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 co- variance. 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.
arXiv comment6 pages, 3 figures
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