  We show that the quantum order parameters (QOP) associated with the
transitions between a normal conductor and a superconductor in the BCS and
eta-pairing models and between a Mott-insulator and a superfluid in the
Bose-Hubbard model are directly related to the amount of entanglement existent
in the ground state of each system. This gives a physical meaningful
interpretation to these QOP, which shows the intrinsically quantum nature of
the phase transitions considered.
