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Phys. Rev. Lett. 80, 2749–2753 (1998)

Orderly Spectra from Random Interactions

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C. W. Johnson1, G. F. Bertsch2, and D. J. Dean3a,3b
1Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana 70803-4001
2Department of Physics, FM-15, University of Washington, Seattle, Washington 98195
3aPhysics Division, Oak Ridge National Laboratory, P.O. Box 2008, Oak Ridge, Tennessee 37831,
3band Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996

Received 17 November 1997; published in the issue dated 30 March 1998

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.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.80.2749
DOI:
10.1103/PhysRevLett.80.2749
PACS:
05.30.-d, 05.45.+b, 21.60.Cs, 24.60.Lz