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Polar heavy-atom molecules have been well recognized as promising candidatesfor precision measurements and tests of fundamental physics. A much slowermolecular beam to increase the interaction time should lead to a more sensitivemeasurement. Here we theoretically demonstrate the possibility of thestimulated longitudinal slowing of heavy-atom molecules by the coherent opticalbichromatic force with a constant beat phase. Taking the YbF meolecule as anexample, we show that a rapid and short-distance deceleration of heavymolecules by a phase-compensation method is feasible with moderate conditions.A molecular beam of YbF with a forward velocity of 120 m/s can be deceleratedbelow 10 m/s within a distance of 3.5 cm and with a laser irradiance for eachtraveling wave of 107.2 W/cm$^2$. We also give a simple approach to estimatethe performance of the BCF on some other heavy molecules, which is helpful formaking a rapid evaluation on the feasibility of the stimulated slowingexperiment. Our proposed slowing method could be a promising approach to breakthrough the space constraint or the limited capture efficiency of moleculesloadable into a MOT in traditional deceleration schemes, opening thepossibility for a significant improvement of the precision measurementsensitivity.

Optical stimulated slowing of polar heavy-atom molecules with a constant beat phase