Truncation scheme of time-dependent density-matrix approach

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 the antisymmetrized products of two-body density matrices, is proposed. This truncation scheme is tested for three model hamiltonians. It is shown that the obtained results are in good agreement with the exact solutions.

8 pages, 14 figures

References in corpus (2)

• Probing neutron correlations through nuclear break-up
• Truncation scheme of time-dependent density-matrix approach II

Cited by in corpus (11)

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• Accurate high-harmonic spectra from time-dependent two-particle reduced density matrix theory
• Progress in Many Body Theory with the Equation of Motion method. Time dependent Density Matrix meets Self-Consistent RPA. Applications to solvable Models
• A simplified BBGKY hierarchy for correlated fermionic systems from a Stochastic Mean-Field approach
• The BBGKY hierarchy for ultracold bosonic systems: II. Applications
• Combining phase-space and time-dependent reduced density matrix approach to describe the dynamics of interacting fermions
• Truncation scheme of time-dependent density-matrix approach II
• Nuclear ground states in a consistent implementation of the time-dependent density matrix approach
• Truncation scheme of time-dependent density-matrix approach III
• Extension of time-dependent Hartree-Fock-Bogoliubov equations
• Revisiting the variational two-particle reduced density matrix for nuclear systems