English

Condensate formation with three-component ultracold fermions

Quantum Gases 2011-04-06 v1

Abstract

We investigate the formation of Bose-Einstein condensation and population imbalance in a three-component Fermi superfluid by increasing the U(3) invariant attractive interaction. We consider the system at zero temperature in three dimensions and also in two dimensions. Within the mean-field theory, we derive explicit formulas for number densities, gap order parameter, condensate density and condensate fraction of the uniform system, and analyze them in the crossover from the Bardeen-Cooper-Schrieffer (BCS) state of Cooper pairs to the Bose-Einstein Condensate (BEC) of strongly-bound molecular dimers. In addition, we study this Fermi mixture trapped by a harmonic potential: we calculate the density profiles of the three components and the condensate density profile of Cooper pairs in the BCS-BEC crossover.

Keywords

Cite

@article{arxiv.1103.1064,
  title  = {Condensate formation with three-component ultracold fermions},
  author = {Luca Salasnich},
  journal= {arXiv preprint arXiv:1103.1064},
  year   = {2011}
}

Comments

6 pages, 3 figures, accepted for publication in Physical Review A (regular article)

R2 v1 2026-06-21T17:35:34.704Z