Spin-1/2 fermions with attractive interaction in an optical lattice
arXiv:0904.4334 · doi:10.1016/j.physleta.2010.07.038
Abstract
We study attractive fermions in an optical lattice superimposed by a trapping potential, such that fermions may form bosonic molecules. We map the model onto nonlinear field equations depending on the Nambu-Gor'kov propagator. The resulting field equations where solved numerically by a relaxation technique that allowed us to calculate the inhomogeneous densities of fermions and condensed molecules at zero temperature. When the interactions between fermions are strong there is a competition between unbound fermions and bound molecules leading to an unexpected reduction of the non-homogeneous density of fermions at the center of the trap.
10 pages, 7 figures; revised
References in corpus (13)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Theory of ultracold Fermi gases
- Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
- Molecules of Fermionic Atoms in an Optical Lattice
- Quantum Fluctuations in the Superfluid State of the BCS-BEC Crossover
- Fermi-Fermi Mixtures in the Strong Attraction Limit
- Population imbalanced fermions in harmonically trapped optical lattices
- Interacting bosons in an optical lattice: Bose-Einstein condensates and Mott insulator
- Tunneling properties of a bound pair of Fermi atoms in an optical lattice
- Spin-1/2 fermions: crossover from weak to strong attractive interaction
- Noise correlations of a strongly attractive spin-1/2 Fermi gas in an optical lattice