  We study the effects of laser-induced Rashba-like spin-orbit coupling along
the BCS-BEC crossover of a Feshbach resonance for a two-spin-component Fermi
gas. We calculate the condensate fraction in three and two dimensions and find
that this quantity characterizes the crossover better than other quantities,
like the chemical potential or the pairing gap. By considering both the singlet
and the triplet pairings, we calculate the condensate fraction and show that a
large enough spin-orbit interaction enhances the singlet condensate fraction in
the BCS side while suppressing it on the BEC side.
