  We show that the cyclic evolution of an order parameter in a many-body system
with spontaneous symmetry breaking in the ground state brings about a
dissipative geometric phase. This phase originates from the same mechanism that
leads to dissipation in thermo-field dynamics studied earlier by Umezawa and
his collaborators and appears to be a manifestation of the dissipative
geometric phase introduced recently by Jain and Pati.
