Universality of S-matrix correlations for deterministic plus random Hamiltonians - art. no. 047102

Authors
Citation
N. Mae et S. Iida, Universality of S-matrix correlations for deterministic plus random Hamiltonians - art. no. 047102, PHYS REV E, 6304(4), 2001, pp. 7102
Citations number
14
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
6304
Issue
4
Year of publication
2001
Part
2
Database
ISI
SICI code
1063-651X(200104)6304:4<7102:UOSCFD>2.0.ZU;2-V
Abstract
We study S-matrix correlations for random matrix ensembles with a Hamiltoni an H=H-0+phi, in which H-0 is a deterministic NxN matrix and cp belongs to a Gaussian random matrix ensemble. Using Efetov's supersymmetry formalism, we show that in the limit N-->infinity correlation functions of S-matrix el ements are universal on the scale of the local mean level spacing: the depe ndence of H-0 enters into these correlation functions only through the aver age S matrix and the average level density. This statement applies to each of the three symmetry classes (unitary, orthogonal, and symplectic).