Ground State Properties of Many-Body Systems in the Two-Body Random Ensemble and Random Matrix Theory

Details Ground State Properties of Many-Body Systems in the Two-Body Random Ensemble and Random Matrix Theory Ground State Properties of Many-Body Systems in the Two-Body Random Ensemble and Random Matrix Theory

2002-01-18

arxiv.org/abs/nucl-th/0201049v1

Phys.Lett. B537 (2002) 62-68

Physics

Nuclear Physics

Nuclear Theory

12 pages, 5 figures

Scientific paper

10.1016/S0370-2693(02)01876-2

We explore generic ground-state and low-energy statistical properties of many-body bosonic and fermionic one- and two-body random ensembles (TBRE) in the dense limit, and contrast them with Random Matrix Theory (RMT). Weak differences in distribution tails can be attributed to the regularity or chaoticity of the corresponding Hamiltonians rather than the particle statistics. We finally show the universality of the distribution of the angular momentum gap between the lowest energy levels in consecutive J-sectors for the four models considered.

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