Abstract
We investigate the dynamics of atomic and molecular Bose–Einstein condensates via nonlinearly dressed states. Under the resonance-locking condition, we add a correction for an initial Hamiltonian to construct the dressed states with only second-order nonlinearity. Compared to the nonlinear stimulated Raman adiabatic passage, atomic-molecular conversion in our protocol is realized by following the dressed states instead of the dark state, thus it can produce a fast conversion passage. Furthermore, we introduce a control parameter to reduce the occupancy of the excited molecule state, and the conversion efficiency can be improved significantly by increasing the value of this parameter.
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