Breit-Wigner width and participation ratio in finite interacting Fermi systems
Abstract
For many-body Fermi systems we determine the dependence of the Breit-Wigner width and inverse participation ratio (IPR) on interaction strength U > Uc and energy excitation dE > dEch when a crossover from Poisson to Wigner-Dyson P(s)-statistics takes place. At U > Uc the eigenstates are composed of a large number of noninteracting states and even for U < Uc there is a regime where P(s) is close to the Poisson distribution but IPR >> 1.
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