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Breit-Wigner width and participation ratio in finite interacting Fermi systems

Bertrand Georgeot·Dima L. Shepelyansky
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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 > dE_ch 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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Bertrand Georgeot, Dima L. Shepelyansky. 1997-07-22. Breit-Wigner width and participation ratio in finite interacting Fermi systems. https://doi.org/10.1103/physrevlett.79.4365

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