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Density-matrix formalism with three-body ground-state correlations

Abstract : A density-matrix formalism which includes the effects of three-body ground-state correlations is applied to the standard Lipkin model. The reason to consider the complicated three-body correlations is that the truncation scheme of reduced density matrices up to the two-body level does not give satisfactory results to the standard Lipkin model. It is shown that the inclusion of the three-body correlations drastically improves the properties of the ground states and excited states. It is pointed out that lack of mean-field effects in the standard Lipkin model enhances the relative importance of the three-body ground-state correlations. Formal aspects of the density-matrix formalism such as a relation to the variational principle and the stability condition of the ground state are also discussed. It is pointed out that the three-body ground-state correlations are necessary to satisfy the stability condition.
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Contributor : Sophie Heurteau <>
Submitted on : Tuesday, August 24, 2010 - 10:41:37 AM
Last modification on : Wednesday, September 16, 2020 - 4:07:55 PM

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M. Tohyama, P. Schuck. Density-matrix formalism with three-body ground-state correlations. European Physical Journal A, EDP Sciences, 2010, 45, pp.257-266. ⟨10.1140/epja/i2010-11002-5⟩. ⟨in2p3-00511215⟩