Parametric generation of density and spin modes with formation of stationary condensed states in ultracold two-component quasi-one-dimensional Fermi gases

The temporal evolution of parametrically created collective excitations is studied in an ultracold two-component atomic Fermi gas. We consider quasi-one-dimensional geometry with a permanent modulation of the transverse trap frequency leading to the generation of longitudinal modes for both density and spin branches. After involvement of the interaction between excitations, the evolution comes to the formation of the stationary state with macroscopic filling of a single density or spin mode and zero occupancy for other modes located within the parametric energy interval. In the presence of this state correlation properties of fermions change essentially. Analysis of one-particle density matrix and density-density correlators reveals possibilities for experimental study of density and spin branches.