Condensate formation with three-component ultracold fermions

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.

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

References in corpus (6)

• Collisional stability of a three-component degenerate Fermi gas
• Three-body recombination in a three-state Fermi gas with widely tunable interactions
• Critical Temperature and Condensate Fraction of a Fermion Pair Condensate
• Population imbalance and pairing in the BCS-BEC crossover of three-component ultracold fermions
• Condensate Fraction of a Two-Dimensional Attractive Fermi Gas
• Zero Sound and First Sound in a Disk-Shaped Normal Fermi gas