Pair condensation of bosonic atoms induced by optical lattices

We design a model of correlated hopping for bosonic atoms in optical lattices. Such model exhibits three kinds of phases, comprehending a Mott insulator, a charge density wave and a pair quasi-condensate. The implementation of the model relies on two-state atoms embedded in state-dependent lattices and having spin-dependent interactions. Contrary to other models of pairing, our design is not based on perturbative effects and should be observable in current experiments.