Understanding the behavior of strongly interacting Fermi systems is a central problem in modern physics, from solid materials to compact stars. In our laboratory, we explore out-of-equilibrium dynamics and transport phenomena in fermionic gases of lithium atoms with tunable interactions. Ultracold gases are prepared and confined into light-imprinted potential structures, simulating the motion of electrons in solid state devices. Our main goals are the study of two-dimensional strongly correlated phases, such as superfluids across the BCS-BEC crossover, and of their robustness to fluctuations and disorder.