Correlations in eigenfunctions of quantum chaotic systems with sparse Hamiltonian matrices

Jiaozi Wang and Wen-ge Wang
Phys. Rev. E 96, 052221 – Published 27 November 2017

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.

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  • Received 27 March 2015
  • Revised 18 September 2017

DOI:https://doi.org/10.1103/PhysRevE.96.052221

©2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
Nonlinear Dynamics

Authors & Affiliations

Jiaozi Wang and Wen-ge Wang*

  • Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China

  • *wgwang@ustc.edu.cn

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Issue

Vol. 96, Iss. 5 — November 2017

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