Correlations in eigenfunctions of quantum chaotic systems with sparse Hamiltonian matrices.
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DOI: 10.1103/physreve.96.052221
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… read more here.
Keywords: quantum chaotic; correlations eigenfunctions; eigenfunctions quantum; systems sparse ... See more keywords
Dynamical Mean-Field Theory of Complex Systems on Sparse Directed Networks.
Sign Up to like & getrecommendations! Published in 2024 at "Physical review letters"
DOI: 10.1103/physrevlett.134.037401
Abstract: Although real-world complex systems typically interact through sparse and heterogeneous networks, analytic solutions of their dynamics are limited to models with all-to-all interactions. Here, we solve the dynamics of a broad range of nonlinear models… read more here.
Keywords: systems sparse; sparse; dynamical mean; complex systems ... See more keywords