2000/04/30 by Pil Hun Song
Physics and Astronomy · #Quantum chaos and dynamical systems #Quantum many-body systems #Spectroscopy and Quantum Chemical Studies #cond-mat.str-el
paper · pdf · doi:10.1103/physreve.62.r7575
4 pages, 4 figures, to appear in Phys. Rev. E (Rapid Communication)
arxiv created 2000/10/20 · openalex publication_date 2000/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The emergence of quantum chaos for interacting Fermi systems is investigated by numerical calculation of the level spacing distribution P(s) as a function of interaction strength U and the excitation energy \ensuremathε above the Fermi level. As U increases, P(s) undergoes a transition from Poissonian (nonchaotic) to Wigner-Dyson (chaotic) statistics and the transition is described by a single scaling parameter given by Z=(U\ensuremathε^\ensuremathα\ensuremath-u0)\ensuremathε^1/(2\ensuremathν), where u0 is a constant. While the exponent \ensuremathα, which determines the global change of the chaos border, is indecisive within a broad range of 0.9\ensuremath∼2.0, the finiteness of \ensuremathν, which comes from the increase of the Fock space size with \ensuremathε, suggests that the transition becomes sharp as \ensuremathε increases.