Truncation scheme of time-dependent density-matrix approach II

Abstract

A truncation scheme of the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy for reduced density matrices, where a three-body density matrix is approximated by two-body density matrices, is improved to take into account a normalization effect. The truncation scheme is tested for the Lipkin model. It is shown that the obtained results are in good agreement with the exact solutions.

arXiv comment4 pages, 6 figures

References in corpus (3)

• Progress in Many Body Theory with the Equation of Motion method. Time dependent Density Matrix meets Self-Consistent RPA. Applications to solvable Models
• Truncation scheme of time-dependent density-matrix approach
• Extended RPA with ground-state correlations in a solvable model

Cited by in corpus (6)

• Truncation scheme of time-dependent density-matrix approach
• Non-equilibrium correlation dynamics in the one-dimensional Fermi-Hubbard model: A testbed for the two-particle reduced density matrix theory
• The BBGKY hierarchy for ultracold bosonic systems: II. Applications
• Nuclear ground states in a consistent implementation of the time-dependent density matrix approach
• Truncation scheme of time-dependent density-matrix approach III
• Revisiting the variational two-particle reduced density matrix for nuclear systems