  We consider a quantum simulator of the Heisenberg chain with ferromagnetic
interactions based on the two-component 1D Bose-Hubbard model at filling equal
to two in the strong coupling regime. The entanglement properties of the ground
state are compared between the original spin model and the quantum simulator as
the interspecies interaction approaches the intraspecies one. A numerical study
of the entanglement properties of the quantum simulator state is supplemented
with analytical expressions derived from the simulated Hamiltonian. At the
isotropic point, the entanglement properties of the simulated system are not
properly predicted by the quantum simulator.
