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

1997/01/15 by Yan V. Fyodorov, Dmitry V. Savin, H. -J. Sommers · 1 citation
Physics and Astronomy · #chao-dyn #cond-mat.mes-hall #nlin.CD

paper · pdf · doi:10.1103/physreve.55.r4857

published as Phys.Rev.E v.55 (1997), R4857 · 4 pages, RevTEX , one figure included

arxiv created 1997/01/15 · arxiv updated 2009/11/30

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.

Cited by

• Random Matrix Theory for Chaotic Wave Scattering and Transport