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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… Click to show full 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.
Keywords:
quantum chaotic;
correlations eigenfunctions;
eigenfunctions quantum;
systems sparse;
chaotic systems;
hamiltonian matrices
Journal Title: Physical Review E
Year Published: 2017
Link to full text (if available)
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Journal Title: Physical Review E
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!