2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217547It has been well known that quantum fluctuations induce a macroscopic phase transition from a superfluid to a Mott insulator phase driven by the repulsive potential energy in the ground state of dense bosonic systems on a lattice. We find a quantum phase transition from the homogeneous to an inhomogeneous Bose-condensate strongly affected or sometimes driven by the kinetic energy dispersion in dilute bosonic superfluids, which provides a clear identification of the superfluid state.4 pages, 3 figures. Submitted to Physical Review Letters Revised version has additional results and a clarification regarding the applicability of the values of the hopping parametersOther Condensed Mattertext