Rotating uniform 3D Fermi gases

Peculiar response to rotation is one of the hallmarks of quantum fluids. Ultracold-atom experiments in harmonic traps have demonstrated several such manifestations, for instance the existence of critical frequency for vortex nucleation, and the observation of ordered vortex lattices. The advent of optical boxes has opened the prospect of studying rotation and vortices in homogeneous systems with sharp boundaries. Indeed, crucial new qualitative features such as the absence of surface modes are expected to significantly alter rotation and vortex-nucleation dynamics. Here, we present protocols to rotate three-dimensional box trapped uniform Fermi gases and the response of the system to slow rotation. We also discuss the measurement of the superfluid fraction of the system in the slow rotation limit, the analog of the Andronikashvili rotating bucket experiment, and the observation of the quench of the gas's moment of inertia. Finally, we explore the feasibility of nucleating individual vortex filaments in a homogeneous 3D gas.