  We present our experimental setup to produce ultracold strongly correlated
fermionic superfluids made of a two-component spin-mixture of $^6$Li atoms.
Employing standard cooling techniques, we achieve quantum degeneracy in a
single-beam optical dipole trap. Our setup is capable of generating
spin-balanced samples at temperatures as low as $T/T_F = 0.1$ containing up to
$5 \times 10^4$ atomic pairs. We can access different superfluid regimes by
tuning the interparticle interactions close to a broad magnetic Feshbach
resonance. In particular, we are able to explore the crossover from the
molecular Bose-Einstein condensate (BEC) to the Bardeen-Cooper-Schrieffer (BCS)
superfluid regimes.
