Three-Component Fermi Gas in a one-dimensional Optical Lattice

P. Azaria (1) , Sylvain Capponi (2, 3) , P. Lecheminant (4)

1 LPTMC - Laboratoire de Physique Théorique de la Matière Condensée
2 FFC - Fermions Fortement Corrélés (LPT)
3 LPT - Laboratoire de Physique Théorique
4 LPTM - UMR 8089 - Laboratoire de Physique Théorique et Modélisation

We investigate the effect of the anisotropy between the s-wave scattering lengths of a three-component atomic Fermi gas loaded into a one-dimensional optical lattice. We find four different phases which support trionic instabilities made of bound states of three fermions. These phases distinguish themselves by the relative phases between the 2$k_F$ atomic density waves fluctuations of the three species. At small enough densities or strong anisotropies we give further evidences for a decoupling and the stabilization of more conventional BCS phases. Finally our results are discussed in light of a recent experiment on $^{6}$Li atoms.

Domaines: Autre [cond-mat.other]

P. Azaria, Sylvain Capponi, P. Lecheminant. Three-Component Fermi Gas in a one-dimensional Optical Lattice. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2009, 80 (4), 041604(R) [4 p.]. ⟨10.1103/PhysRevA.80.041604⟩. ⟨hal-00351440⟩