2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144201We study Chern numbers to characterize the ground state of strongly interacting systems on a lattice. This method allows us to perform a numerical characterization of bosonic fractional quantum Hall (FQH) states on a lattice where conventional overlap calculation with known continuum case such as Laughlin state, breaks down due to the lattice structure or dipole-dipole interaction. The non-vanishing Chern number indicates the existence of a topological order in the degenerate ground state manifold.5 pages, 3 figures, V2: changes in the presentationMesoscale and Nanoscale PhysicsQuantum Physicstext