Quantum Monte-Carlo study of a two-band boson Hubbard model

We consider a two band boson Hubbard model, in which the on-site interaction is infinity for the intra-band bosons and repulsive for the inter-band bosons. The on-site inter-band boson interaction may facilitate condensation of vacancies of $a$-boson and interstitials of $b$-boson. We report results of large scale quantum Monte Carlo simulations to study possible supersolid phases of the model.