Bosonic Dynamical Mean-Field Theory

Abstract: We derive the Bosonic Dynamical Mean-Field equations for bosonic atoms in optical lattices with arbitrary lattice geometry. The equations are presented as a systematic expansion in 1/z, z being the number of lattice neighbors. Hence the theory is applicable in sufficiently high dimensional lattices. We apply the method to a two-component mixture, for which a rich phase diagram with spin-order is revealed.