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Poisson vs. GOE Statistics in Integrable and Non-Integrable Quantum Hamiltonians

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Published under licence by IOP Publishing Ltd
, , Citation D. Poilblanc et al 1993 EPL 22 537 DOI 10.1209/0295-5075/22/7/010

0295-5075/22/7/537

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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