  We present a theory characterizing the phases emerging as a consequence of
continuous symmetry-breaking in quantum and classical systems. In
symmetry-breaking phases, dynamics is restricted due to the existence of a set
of conserved charges derived from the order parameter of the phase transition.
Their expectation values are determined by the privileged direction appearing
in the ordered phase as a consequence of symmetry breaking, and thus they can
be used to determine whether this direction is well defined or it has quantum
fluctuations. Our theory is numerically exemplified via the two-dimensional
limit of the vibron model, a fully connected system invariant under a rotation
operator which generates the continuous symmetry-breaking.
