Poisson versus GOE statistics in integrable and non-integrable quantum hamiltonian
Condensed Matter
2009-10-22 v1
Abstract
We calculate the level statistics by finding the eigenvalue spectrum for a variety of one-dimensional many-body models, namely the Heisenberg chain, the t-J model and the Hubbard model. In each case the generic behaviour is GOE, however at points corresponding to models known to be exactly integrable Poisson statistics are found, in agreement with an argument we outline.
Keywords
Cite
@article{arxiv.cond-mat/9301005,
title = {Poisson versus GOE statistics in integrable and non-integrable quantum hamiltonian},
author = {Didier Poilblanc and Timothy Ziman and Jean Bellissard and Frederic Mila and Gilles Montambaux},
journal= {arXiv preprint arXiv:cond-mat/9301005},
year = {2009}
}
Comments
Latex file (8 pages), figures available on request