Universal eigenvector statistics in a quantum scattering ensemble
Mesoscale and Nanoscale Physics
2009-10-31 v1
Abstract
We calculate eigenvector statistics in an ensemble of non-Hermitian matrices describing open quantum systems [F. Haake et al., Z. Phys. B 88, 359 (1992)] in the limit of large matrix size. We show that ensemble-averaged eigenvector correlations corresponding to eigenvalues in the center of the support of the density of states in the complex plane are described by an expression recently derived for Ginibre's ensemble of random non-Hermitian matrices.
Cite
@article{arxiv.cond-mat/0012025,
title = {Universal eigenvector statistics in a quantum scattering ensemble},
author = {B. Mehlig and M. Santer},
journal= {arXiv preprint arXiv:cond-mat/0012025},
year = {2009}
}
Comments
4 pages, 5 figures