Spin-1/2 fermions with attractive interaction in an optical lattice

Details Spin-1/2 fermions with attractive interaction in an optical lattice Spin-1/2 fermions with attractive interaction in an optical lattice

2009-04-28

arxiv.org/abs/0904.4334v2

Phys. Lett. A, 2010

Physics

Condensed Matter

Quantum Gases

10 pages, 7 figures; revised

Scientific paper

10.1016/j.physleta.2010.07.038

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.

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