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

We study S-matrix correlations for random matrix ensembles with a Hamiltonian 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 elements are universal on the scale of the local mean level spacing: the dependence of H-0 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).