Implicit ladder summation in the Hartree-Fock-Bogoliubov approach

Abstract

The fully variational Hartree Fock Bogoliubov approach for bosons is studied in the limit of zero range forces in two- and three-dimensions. The equation of state obtained in two-dimensions is expressed in a parametric form. It is shown that the $\Lambda$ potential permits to perform an implicit summation of the ladder diagrams without leaving the variational scheme, restoring thus the consistency of this approximation.

References in corpus (5)

• Weakly bound dimers of fermionic atoms
• Extension of Bogoliubov theory to quasi-condensates
• Ground state energy of the two-dimensional weakly interacting Bose gas: First correction beyond Bogoliubov theory
• Isotropic contact forces in arbitrary representation: heterogeneous few-body problems and low dimensions
• Three fermions in a box at the unitary limit: universality in a lattice model

Cited by in corpus (4)

• Ultradilute low-dimensional liquids
• Behavior of the anomalous correlation function in uniform 2D Bose gas
• Condensation and quasicondensation in an elongated three-dimensional Bose gas
• Ground-state properties of a dilute two-dimensional Bose gas