The critical temperature and the Ginzburg-Landau equation for a superfluid Fermi gas in a parabolic trap

Authors:
  • DPD. S. Petrov
    D. S. Petrov

Abstract
The superfluid phase transition in a neutral Fermi gas with short-ranged interaction in a parabolic trap is investigated. We consider the case when the critical temperature in the homogeneous case is much larger than the level spacing in a trap. It is shown that in this situation the critical temperature in a trap is only slightly lower as compared with the homogeneous case. We write down the corresponding Ginzburg-Landau equation and analyze its solution in the vicinity of the phase transition.