Orderly Spectra from Random Interactions

C. W. Johnson; G. F. Bertsch; D. J. Dean

doi:10.1103/PhysRevLett.80.2749

Orderly Spectra from Random Interactions

C. W. Johnson, G. F. Bertsch, and D. J. Dean

Phys. Rev. Lett. 80, 2749 – Published 30 March 1998

Abstract

We investigate the low-lying spectra of many-body systems with random two-body interactions, specifying that the ensemble be invariant under particle-hole conjugation. Surprisingly we find patterns reminiscent of more orderly interactions, such as a predominance of $J = 0$ ground states separated by a gap from the excited states, and evidence of phonon vibrations in the low-lying spectra.

Received 17 November 1997

DOI:https://doi.org/10.1103/PhysRevLett.80.2749

Authors & Affiliations

C. W. Johnson¹, G. F. Bertsch², and D. J. Dean^3,4

¹Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001
²Department of Physics, FM-15, University of Washington, Seattle, Washington 98195
³Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831,
⁴and Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996