  We investigate the entanglement in Hubbard models of hardcore bosons in $1D$,
with an additional hardcore interaction on nearest neighbouring sites. We
derive analytical formulas for the bipartite entanglement entropy for any
number of particles and system size, whose ratio determines the system filling.
At the thermodynamic limit the entropy diverges logarithmically for all
fillings, except for half-filling, with the universal prefactor $1/2$ due to
partial permutational invariance. We show how maximal entanglement can be
achieved by controlling the interaction range between the particles and the
filling which determines the empty space in the system. Our results show how
entangled quantum phases can be created and controlled, by imposing spatial
constraints on states formed in many-body systems of strongly interacting
particles.
