Infinite lattice of vortex molecules*

We study the ground state of a 2D rotating two component BEC in the presence of an external electromagnetic field that gives rise to Rabi oscillations in between the two components. The EM field works as a confinement mechanism of vortices leading to the formation of vortex molecules: pairs of vortices, one of each component. We study the full-blown problem by solving the Gross-Pitaevskii equation for an infinite system. We explain the result in terms of an effective theory of electric dipoles with 2D dipolar interactions.