QMC study of the 1D boson Hubbard model with a superlattice potential

We use QMC simulations to explore the phase diagram of the Bose-Hubbard model with an additional superlattice potential. We first analyse the hard-core limit where an exact analytic treatment is possible, and then use QMC to solve the soft-core case and find the insulator/superfluid phase diagram as a function of potential strength and filling. These results are relevant to the behavior of cold atoms in optical superlattices which are beginning to be achieved experimentally.