1994/10/18 by Mario Di Stasio, M. Di Stasio, X. Zotos · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #Quantum many-body systems #cond-mat
paper · pdf · doi:10.1103/physrevlett.74.2050
REVTEX, 5 postscript figures at the end of the file
arxiv created 1994/10/18 · openalex publication_date 1995/03/13 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study the level statistics of a nonintegrable one-dimensional interacting fermionic system characterized by the Gaussian orthogonal ensemble distribution. We calculate numerically on a finite size system the level spacing distribution P(s) and the Dyson-Mehta \ensuremathΔ3 correlation. We observe that its low energy spectrum follows rather the Poisson distribution, characteristic of an integrable system, consistent with the fact that the low energy excitations of this system are described by the Luttinger model. We propose this random matrix theory analysis as a probe, but no proof, for the existence and integrability of low energy effective Hamiltonians for strongly correlated systems.