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

Condensate fraction of a resonant Fermi gas with spin-orbit coupling in three and two dimensions