Phys. Rev. Lett. 88, 256808 (2002) [4 pages]Parametric Spectral Correlations in Disordered and Chaotic StructuresReceived 29 January 2002; published 11 June 2002 We explore the influence of external perturbations on the energy levels of a Hamiltonian drawn at random from the Gaussian unitary distribution of Hermitian matrices. By deriving the joint distribution function of eigenvalues, we obtain the (n,m)-point parametric correlation function of the initial and the final density of states for perturbations of arbitrary rank and strength. A further generalization of these results allows for the incorporation of short-range spatial correlations in diffusive as well as ballistic chaotic structures. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.88.256808
DOI:
10.1103/PhysRevLett.88.256808
PACS:
73.21.-b, 05.45.Mt, 71.23.-k
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