Truncation scheme of time-dependent density-matrix approach III

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.

arXiv comment11 pages, 17 figures

References in corpus (5)

• RPA approach to rotational symmetry restoration in a three-level Lipkin model
• Self Consistent Random Phase Approximation and the restoration of symmetries within the three-level Lipkin model
• Truncation scheme of time-dependent density-matrix approach
• Extended RPA with ground-state correlations in a solvable model
• Truncation scheme of time-dependent density-matrix approach II

Cited by in corpus (4)

• Non-equilibrium correlation dynamics in the one-dimensional Fermi-Hubbard model: A testbed for the two-particle reduced density matrix theory
• Combining phase-space and time-dependent reduced density matrix approach to describe the dynamics of interacting fermions
• Nuclear ground states in a consistent implementation of the time-dependent density matrix approach
• Revisiting the variational two-particle reduced density matrix for nuclear systems