“…This is the case for experiments using buffer-gas or antirelaxation-coated vapor cells, in which atoms undergo frequent velocity-changing collisions during the ground-state polarization lifetime. The consequences of the complete mixing approximation are similar to those of the broad-line approximation [30,31,32,33], which takes the spectrum of the pump light to be broader than the Doppler width of the ensemble. In the completemixing case, narrow-band light produces polarization in a single velocity group in the Doppler distribution, and the polarization is averaged over all velocity groups through rethermalization, while in the broad-line case, the entire Doppler distribution is pumped directly.…”