Truncation scheme of time-dependent density-matrix approach III

Mitsuru Tohyama,Peter Schuck

doi:10.1140/epja/i2019-12746-x

Truncation scheme of time-dependent density-matrix approach III

Mitsuru Tohyama, Peter Schuck

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https://doi.org/10.1140/epja/i2019-12746-x

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Journal: The European physical journal. A, Hadrons and nuclei	Publication Date: May 1, 2019
Citations: 5

Affiliation: Kyorin University, University of Paris-Sud, Institut de Physique, Institut National de Physique Nucléaire et de Physique des Particules, Institut Polytechnique de Paris, French National Centre for Scientific Research, Laboratoire de Physique et Modélisation des Milieux Condensés, Joseph Fourier University

#Time-dependent Density-matrix Theory #Two-body Density Matrices + Show 8 more

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Abstract

The time-dependent density-matrix theory (TDDM) where the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy for reduced density matrices is truncated by approximating a three-body density matrix with one-body and two-body density matrices is applied to the Lipkin model. It is shown that in the large $N$ limit the ground state in TDDM approaches the exact solution. Various truncation schemes for the three-body density matrix are also tested for an extended three-level Lipkin model.

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