Ordered Level Spacing Distribution in Embedded Random Matrix Ensembles
Statistical Mechanics
2021-03-16 v1
Abstract
The probability distribution of the closest neighbor and farther neighbor spacings from a given level have been studied for interacting fermion/boson systems with and without spin degree of freedom constructed using an embedded GOE of one plus random two-body interactions. Our numerical results demonstrate a very good consistency with the recently derived analytical expressions using a random matrix model and other related quantities by Srivastava et. al [{\it J. Phys. A: Math. Theor.} {\bf 52} 025101 (2019)]. This establishes conclusively that local level fluctuations generated by embedded ensembles (EE) follow the results of classical Gaussian ensembles.
Cite
@article{arxiv.2103.07681,
title = {Ordered Level Spacing Distribution in Embedded Random Matrix Ensembles},
author = {Priyanka Rao and H. N. Deota and N. D. Chavda},
journal= {arXiv preprint arXiv:2103.07681},
year = {2021}
}
Comments
8 pages, 4 figures, 2 tables