Universality of S-matrix correlations for deterministic plus random Hamiltonians
Abstract
We study S-matrix correlations for random matrix ensembles with a Hamiltonian which is the sum of a given deterministic part and of a random matrix with a Gaussian probability distribution. Using Efetov's supersymmetry formalism, we show that, in the limit of infinite matrix size of the Hamiltonian, correlation functions of S-matrix elements are universal on the scale of the local mean level spacing: the dependence of the deterministic part enters into these correlation functions only through the average S-matrix and the average level density. This statement applies to each of the three symmetry classes (orthogonal, unitary, and symplectic).
Cite
@article{arxiv.cond-mat/0008027,
title = {Universality of S-matrix correlations for deterministic plus random Hamiltonians},
author = {N. Mae and S. Iida},
journal= {arXiv preprint arXiv:cond-mat/0008027},
year = {2009}
}
Comments
5 pages, no figure, REVTeX 3.1 with pLaTeX 2e. Minor corrections, references added. Accepted for publication in Phys. Rev. E