Density and Spin Response of a Fermi Gas in the Attractive and Quasi-Repulsive Regime

Recent experimental advances in ultracold Fermi gases allow for exploring response functions under different dynamical conditions. In particular, the issue of obtaining a quasirepulsive regime starting from a Fermi gas with an attractive interparticle interaction while avoiding the formation of the two-body bound state is currently debated. Here, we provide a calculation of the density and spin response for a wide range of temperature and coupling both in the attractive and quasirepulsive regime, whereby the system is assumed to evolve nonadiabatically toward the upper branch of the Fermi gas. A comparison is made with the available experimental data for these two quantities.