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A method for creation of ultracold molecules by stepwise adiabatic passagefrom the Feshbach state to the fundamentally ground state using an opticalfrequency comb is presented within a semiclassical multilevel model. Thesinusoidal modulation of the spectral phase of the comb is implemented thatleads to a creation of a quasi-dark dressed state having an insignificantpopulation of the excited state manifold and, thus, efficiently mitigatingdecoherence in the system. In contrast, the cosine modulation does not lead tothe quasi-dark state formation. The results demonstrate the importance of theparity of the spectral chirp in quantum control.

Molecular cooling via Raman transitions and a harmonic spectral  modulation of an optical frequency comb: The role of the parity of the chirp  in quantum control