Phys. Rev. E 63, 047102 (2001) [4 pages]Universality of S-matrix correlations for deterministic plus random HamiltoniansReceived 2 August 2000; published 21 March 2001 We study S-matrix correlations for random matrix ensembles with a Hamiltonian H=H0+φ, in which H0 is a deterministic N×N matrix and φ belongs to a Gaussian random matrix ensemble. Using Efetov’s supersymmetry formalism, we show that in the limit N⃗∞ correlation functions of S-matrix elements are universal on the scale of the local mean level spacing: the dependence of H0 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 (unitary, orthogonal, and symplectic). © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.63.047102
DOI:
10.1103/PhysRevE.63.047102
PACS:
05.40.-a, 05.30.-d, 05.60.Gg
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