Poisson versus GOE statistics in integrable and non-integrable quantum hamiltonian

Details Poisson versus GOE statistics in integrable and non-integrable quantum hamiltonian Poisson versus GOE statistics in integrable and non-integrable quantum hamiltonian

1993-01-07

arxiv.org/abs/cond-mat/9301005v1

Physics

Condensed Matter

Latex file (8 pages), figures available on request

Scientific paper

10.1209/0295-5075/22/7/010

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.

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