Wave Function Structure in Two-Body Random Matrix Ensembles

Details Wave Function Structure in Two-Body Random Matrix Ensembles Wave Function Structure in Two-Body Random Matrix Ensembles

1999-11-11

arxiv.org/abs/nucl-th/9911038v1

Phys.Rev.Lett.84:4553-4556,2000

Physics

Nuclear Physics

Nuclear Theory

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.84.4553

We study the structure of eigenstates in two-body interaction random matrix ensembles and find significant deviations from random matrix theory expectations. The deviations are most prominent in the tails of the spectral density and indicate localization of the eigenstates in Fock space. Using ideas related to scar theory we derive an analytical formula that relates fluctuations in wave function intensities to fluctuations of the two-body interaction matrix elements. Numerical results for many-body fermion systems agree well with the theoretical predictions.

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