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Parametric Correlations of Phase Shifts and Statistics of Time Delays in Quantum Chaotic Scattering: Crossover between Unitary and Orthogonal Symmetries

Yan V. Fyodorov·Dmitry V. Savin·H. -J. Sommers
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Abstract

We analyse universal statistical properties of phase shifts and time delays for open chaotic systems in the crossover regime of partly broken time-reversal invariance. In particular, we find that the distribution of the time delay shows $τ^{-3/2}$ behavior for weakly open systems of any symmetry.

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Yan V. Fyodorov, Dmitry V. Savin, H. -J. Sommers. 1997-01-15. Parametric Correlations of Phase Shifts and Statistics of Time Delays in Quantum Chaotic Scattering: Crossover between Unitary and Orthogonal Symmetries. https://doi.org/10.1103/physreve.55.r4857

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