Gapless Hartree-Fock-Bogoliubov Approximation for Bose Gases
arXiv:cond-mat/0606484 · doi:10.1103/PhysRevA.73.063612
Abstract
A dilute Bose system with Bose-Einstein condensate is considered. It is shown that the Hartree-Fock-Bogolubov approximation can be made both conserving as well as gapless. This is achieved by taking into account all physical normalization conditions, that is, the normalization condition for the condensed particles and that for the total number of particles. Two Lagrange multipliers, introduced for preserving these normalization conditions, make the consideration completely self-consistent.
Latex file, 22 pages, 2 figures
Cited by in corpus (12)
- Finite Temperature Models of Bose-Einstein Condensation
- Cold Bosons in Optical Lattices
- Bose-Einstein-condensed systems in random potentials
- Representative statistical ensembles for Bose systems with broken gauge symmetry
- Bose-Einstein-condensed gases in arbitrarily strong random potentials
- Self-Consistent Theory of Bose-Condensed Systems
- Bose-Einstein-condensed gases with arbitrary strong interactions
- Condensate and superfluid fractions for varying interactions and temperature
- Critical temperature for kaon condensation in color-flavor locked quark matter
- Reflection and Refraction of Bose-condensate Excitations
- Stability of the homogeneous Bose-Einstein condensate at large gas parameter
- Variational wave functions for homogenous Bose systems