Control of the vortex lattice formation in coupled atom-molecular Bose–Einstein condensate in a double well potential: role of atom-molecule coupling, trap rotation frequency and detuning parameter

Abstract We study the vortex formation in coupled atomic and molecular condensates a rotating double well trap by numerically solving Gross–Pitaevskii like equations. Starting with condensate potential we considered two-photon Raman photo-association for coherent conversion of atoms to molecules. It is shown that competition between atom-molecule coupling strength repulsive interaction controls spacings vortices rotation frequency key player controlling number visible vortices. Whereas detuning spacing as trap. have considering lattices distance two can be controlled varying detuning. In addition found Feynman rule relating total average angular momentum both molecules satisfied those are hidden density distribution seen singularities phase system except lattice structure where overlapped each other. although visible/core depends significantly on parameters remains constant most cases.