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DY: Dynamik und Statistische Physik

DY 23: Quantenchaos

DY 23.1: Talk

Tuesday, March 27, 2001, 10:30–10:45, S 7

Universal eigenvector statistics in a quantum scattering ensemble — •Bernhard Mehlig and Mark Santer — Theoretische Quantendynamik, Fakultät für Physik, Universität Freiburg, Hermann-Herder Str. 3, 79104 Freiburg i. Brsg.

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. [PRE (Rapid Communications), in press, 2000; cond-mat/0012025].