Extension of time-dependent Hartree-Fock-Bogoliubov equations

Abstract

An extension of the time-dependent Hartree-Fock-Bogoliubov theory (ETDHFB) which includes higher-order effects such as screening of the pairing correlation is proposed. ETDHFB is applied to a fermion system trapped in a harmonic potential to test its feasability by comparison with the exact solution. With the use of perturbative expressions for the pairing tensor and the two-body density matrix derived from ETDHFB, the screening effect is investigated for atomic fermion systems and isotopes of tin nuclei. It is found that the screening effect on the pairing correlation is not significant.

12 pages, 9 figures

References in corpus (6)

• Strongly paired fermions: Cold atoms and neutron matter
• Screening Effects in Superfluid Nuclear and Neutron Matter within Brueckner Theory
• Quasiparticle Coupled Cluster Theory for Pairing Interactions
• Equation of state of superfluid neutron matter and the calculation of ${}^1{S}_0$ pairing gap
• ${}^1{S}_0$ superfluid phase--transition in neutron matter with realistic nuclear potentials and modern many--body theories
• Accuracy of BCS-based approximations for pairing in small Fermi systems

Cited by in corpus (1)

• Bose-Einstein condensation of Efimovian triples in the unitary Bose gas