Abstract
In most realistic models for quantum chaotic systems, the Hamiltonian matrices in unperturbed bases have a sparse structure. We study correlations in eigenfunctions of such systems and derive explicit expressions for some of the correlation functions with respect to energy. The analytical results are tested in several models by numerical simulations. Some applications are discussed for a relation between transition probabilities and for expectation values of some local observables.
1 More- Received 27 March 2015
- Revised 18 September 2017
DOI:https://doi.org/10.1103/PhysRevE.96.052221
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