Resonant formation of strongly correlated paired states in rotating Bose gases

We study the effects of Feshbach resonant interactions in a rapidly rotating Bose gas. The resonant formation of molecules leads to the growth of pair correlations which modify the ground state of the gas. By an extension of the usual Chern-Simons theory, built of composite atoms and molecules, we are able to account for these resonance effects. Focusing on the 1/2 filling fraction, we find that the resulting ground state evolves from a Laughlin wave function to a unique paired wave function as one approaches the resonance.