  Quantum systems out of equilibrium offer the possibility of understanding
intriguing and challenging problems in modern physics. Studying transport
properties is not only valuable to unveil fundamental properties of quantum
matter but it is also an excellent tool for developing new quantum devices
which inherently employ quantum-mechanical effects. In this contribution, we
present our experimental studies on quantum transport using ultracold Fermi
gases of $^6$Li atoms. We realize the analogous of a Josephson junction by
bisecting fermionic superfluids by a thin optical barrier. We observe coherent
dynamics in both the population and in the relative phase between the two
reservoirs. For critical parameters, the superfluid dynamics exhibits both
coherent and resistive flow due to phase-slippage events manifesting as
vortices propagating into the bulk. We uncover also a regime of strong
dissipation where the junction operation is irreversibly affected by vortex
proliferation. Our studies open new directions for investigating dissipation
and superfluid transport in strongly correlated fermionic systems.
