Ground state energy of the dilute Bose-Hubbard gas on Bravais lattices

Norbert Mokrzański, Marcin Napiórkowski, Jacek Wojtkiewicz

We study interacting bosons on a three-dimensional Bravais lattice with positive hopping amplitudes and on-site repulsive interactions. We prove that, in the dilute limit $\rho \to 0$,…