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We analyze the outcome of a Mott insulator to superfluid transition for atwo-component Bose gas with two atoms per site in an optical lattice in thelimit of slow ramping down the lattice potential. This manipulation of theinitial Mott insulating state transforms local correlations between hyperfinestates of atom pairs into multiparticle correlations extending over the wholesystem. We show how to create macroscopic twin Fock states in this way an that,in general, the obtained superfluid states are highly depleted even for initialground Mott insulator states.

Adiabatic melting of two-component Mott-insulator states