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Orderly spectra from random interactions

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

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C. W. Johnson, G. F. Bertsch, D. J. Dean. 1998-02-23. Orderly spectra from random interactions. https://doi.org/10.1103/physrevlett.80.2749

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