Free Evolution
During free evolution transverse magnetisation will evolve due to J-coupling and chemical shift. No pulses are applied during the free evolution period.

So for a homonuclear coupled two spin system if we begin the free evolution period with transverse magnetisation (I1X) then after the free evolution period we would have in phase transverse magnetisation for I1 modulated by terms in chemical shift for I1 and J-coupling between I1 and I2 as along with antiphase magnetisation for I1 with respect to I2 again modulated by terms in chemical shift for I1 and j-coupling between I1 and I2.
