In the normal to a superfluid phase transition, U(1) symmetry related to particle number conservation is spontaneously broken which seems to imply that the superfluid state is a state in which there is no definite number of particles? This property is shared by that of a coherent state or any arbitrary superposition of number operator eigenstates. 

*Is there some other property of the superfluid state which tells that it's a coherent state and not any arbitrary superposition of number operator eigenstates?*