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arXiv · cond-mat/9301005

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

Didier Poilblanc·Timothy Ziman·Jean Bellissard·Frederic Mila·Gilles Montambaux
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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.

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Didier Poilblanc, Timothy Ziman, Jean Bellissard, Frederic Mila, Gilles Montambaux. 1993-01-07. Poisson versus GOE statistics in integrable and non-integrable quantum hamiltonian. https://doi.org/10.1209/0295-5075%2F22%2F7%2F010

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