Dimensional crossover in a spin-imbalanced Fermi gas

Shovan Dutta, Erich J. Mueller
2016 Physical Review A  
We model the one-dimension (1D) to three-dimension (3D) crossover in a cylindrically trapped Fermi gas with attractive interactions and spin-imbalance. We calculate the mean-field phase diagram, and study the relative stability of exotic superfluid phases as a function of interaction strength and temperature. For weak interactions and low density, we find 1D-like behavior, which repeats as a function of the chemical potential as new channels open. For strong interactions, mixing of
more » ... ing of single-particle levels gives 3D-like behavior at all densities. Furthermore, we map the system to an effective 1D model, finding significant density dependence of the effective 1D scattering length.
doi:10.1103/physreva.94.063627 fatcat:4qap4helzfhg7lf6wr3pcd3oru