Manipulating Quantum States of Molecules Created via Photoassociation of Bose-Einstein Condensates

We show the quantum state transfer technique in two-color photoassociation (PA) of a Bose-Einstein condensate, where a quantized field is used to couple the free-bound transition from atom state to excited molecular state. Under the weak excitation condition, we find that quantum states of the quantized field can be transferred to the created molecular condensate. The feasibility of this technique is confirmed by considering the atomic and molecular decays discovered in the current PA experiments. The present results allow us to manipulate quantum states of molecules in the photoassociation of a Bose-Einstein condensate.