%0 Journal Article %J Physical Review A %D 2011 %T Phase diagram of the Bose Kondo-Hubbard model %A Michael Foss-Feig %A Ana Maria Rey %X We study a bosonic version of the Kondo lattice model with an on-site repulsion in the conduction band, implemented with alkali atoms in two bands of an optical lattice. Using both weak and strong-coupling perturbation theory, we find that at unit filling of the conduction bosons the superfluid to Mott insulator transition should be accompanied by a magnetic transition from a ferromagnet (in the superfluid) to a paramagnet (in the Mott insulator). Furthermore, an analytic treatment of Gutzwiller mean-field theory reveals that quantum spin fluctuations induced by the Kondo exchange cause the otherwise continuous superfluid to Mott-insulator phase transition to be first order. We show that lattice separability imposes a serious constraint on proposals to exploit excited bands for quantum simulations, and discuss a way to overcome this constraint in the context of our model by using an experimentally realized non-separable lattice. A method to probe the first-order nature of the transition based on collapses and revivals of the matter-wave field is also discussed. %B Physical Review A %V 84 %8 2011/11/16 %G eng %U http://arxiv.org/abs/1103.0245v2 %N 5 %! Phys. Rev. A %R 10.1103/PhysRevA.84.053619