  Spontaneous symmetry breaking is related to the appearance of emergent
phenomena, while a non-vanishing order parameter has been viewed as the sign of
turning into such symmetry breaking phase. Recently, we have proposed a
continuous measure of symmetry of a physical system using group theoretical
approach. Within this framework, we study the spontaneous symmetry breaking in
the conventional superconductor and Bose-Einstein condensation by showing both
the two many body systems can be mapped into the many spin model. Moreover we
also formulate the underlying relation between the spontaneous symmetry
breaking and the order parameter quantitatively. The degree of symmetry stays
unity in the absence of the two emergent phenomena, while decreases
exponentially at the appearance of the order parameter which indicates the
inextricable relation between the spontaneous symmetry and the order parameter.
