Universality of S-matrix correlations for deterministic plus random Hamiltonians

N. Mae; S. Iida

doi:10.1103/physreve.63.047102

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arXiv · cond-mat/0008027

Universality of S-matrix correlations for deterministic plus random Hamiltonians

N. Mae·S. Iida

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Abstract

We study S-matrix correlations for random matrix ensembles with a Hamiltonian which is the sum of a given deterministic part and of a random matrix with a Gaussian probability distribution. Using Efetov's supersymmetry formalism, we show that, in the limit of infinite matrix size of the Hamiltonian, correlation functions of S-matrix elements are universal on the scale of the local mean level spacing: the dependence of the deterministic part 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 (orthogonal, unitary, and symplectic).

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N. Mae, S. Iida. 2001-01-08. Universality of S-matrix correlations for deterministic plus random Hamiltonians. https://doi.org/10.1103/physreve.63.047102

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