Engineering the sub-Doppler force in magneto-optical traps

Current dual-frequency magneto-optical traps for ultracold molecules are plagued by sub-Doppler heating effects, making them vastly inferior to standard atomic MOTs. Here we demonstrate theoretically that the effects in such a MOT can be engineered provide cooling instead of heating. We give an intuitive picture how achieve and show trapping force results 16 level optical Bloch equations case CaF molecules. From three-dimensional Monte Carlo simulations estimate temperature density our $40 \mu K$ $4 \times 10^8 cm^{-3}$ respectively molecule number $10^5$.