Universal eigenvector statistics in a quantum scattering ensemble

Details Universal eigenvector statistics in a quantum scattering ensemble Universal eigenvector statistics in a quantum scattering ensemble

2000-12-04

arxiv.org/abs/cond-mat/0012025v1

Phys. Rev. E 63, 020105 (2001)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 5 figures

Scientific paper

10.1103/PhysRevE.63.020105

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.

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