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arXiv · 1203.6694

Fractional exclusion statistics and the Random Matrix Boson Ensemble

Saul Hernández-Quiroz·Manuel Beltrán·Luis Benet·Jorge Flores·Germinal Cocho
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Abstract

The k-body Gaussian Embedded Ensemble of Random Matrices is considered for N bosons distributed on two single-particle levels. When k = N, the ensemble is equivalent to the Gaussian Orthogonal Ensemble (GOE), and when k = 2 it corresponds to the Two-body Random Ensemble (TBRE) for bosons. It is shown that the energy spectrum leads to a rank function which is of the form of a discrete generalized beta distribution. The same distribution is obtained assuming N non-interacting quasiparticles that obey the fractional exclusion statistics introduced by Haldane two decades ago.

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Saul Hernández-Quiroz, Manuel Beltrán, Luis Benet, Jorge Flores, Germinal Cocho. 2012-03-30. Fractional exclusion statistics and the Random Matrix Boson Ensemble. https://arxiv.org/abs/1203.6694

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