We have investigated the exciton and free carrier populations dynamics
in quantum wells by low temperature time-resolved photoluminescence s
pectroscopy. When the excitation energy is set above the free carrier
quantum well gap, excitons are formed from random binding of electrons
and holes. On the basis of this bimolecular formation process, we sho
w that a 2D mass action law, describing the coexistence of free carrie
rs and excitons, explains the time evolution of the exciton photolumin
escence linewidth. This demonstrates the existence of a thermodynamic
equilibrium between excitons and free carriers at each time delay foll
owing the excitation. The consequence is a very short exciton formatio
n time (less than or similar to 10 ps) in the density range investigat
ed (10(9) - 10(10) cm(-2)), implying a bimolecular formation coefficie
nt gamma higher than 14 cm(2) s(-1).