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Title: Wave Function Structure in Two-Body Random Matrix Ensembles

Journal Article · · Physical Review Letters

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. (c) 2000 The American Physical Society.

OSTI ID:
20216587
Journal Information:
Physical Review Letters, Vol. 84, Issue 20; Other Information: PBD: 15 May 2000; ISSN 0031-9007
Country of Publication:
United States
Language:
English