  The unitary Fermi gas (UFG) offers an unique opportunity to study quantum
turbulence both experimentally and theoretically in a strongly interacting
fermionic superfluid. It yields to accurate and controlled experiments, and
admits the only dynamical microscopic description via time-dependent density
functional theory (DFT) - apart from dilute bosonic gases - of the crossing and
reconnection of superfluid vortex lines conjectured by Feynman in 1955 to be at
the origin of quantum turbulence in superfluids at zero temperature. We
demonstrate how various vortex configurations can be generated by using well
established experimental techniques: laser stirring and phase imprinting. New
imagining techniques demonstrated by the MIT group [Ku et al. arXiv:1402.7052]
should be able to directly visualize these crossings and reconnections in
greater detail than performed so far in liquid helium. We demonstrate the
critical role played by the geometry of the trap in the formation and dynamics
of a vortex in the UFG and how laser stirring and phase imprint can be used to
create vortex tangles with clear signatures of the onset of quantum turbulence.
