1999/03/31 by Yan V. Fyodorov, B. A. Khoruzhenko · 1 citation
Physics and Astronomy · #cond-mat #chao-dyn #nlin.CD #nlin.SI #solv-int
paper · pdf · doi:10.1103/physrevlett.83.65
published as Phys.Rev.Lett. v.83 (1999) p.65 · 4 pages, no figures. Misprints corrected, some details on single-channel and many-channel cases are added
arxiv created 1999/05/18 · arxiv updated 2009/11/30
We solve the problem of resonance statistics in systems with broken time-reversal invariance by deriving the joint probability density of all resonances in the framework of a random matrix approach and calculating explicitly all n-point correlation functions in the complex plane. As a by-product, we establish the Ginibre-like statistics of resonances for many open channels. Our method is a combination of Itzykson-Zuber integration and a variant of nonlinear σ-model and can be applied when the use of orthogonal polynomials is problematic.