  The spinor condensate with spin states degenerated in the ground spin-space
provides a unique platform for investigating the edge of quantum mechanics and
statistical physics. We study the evolution of the condensate under the
scattering of a coherent atom beam. The time-dependent magnetization,
entanglement entropy, thermal entropy and the entropy production rate are
calculated. A novel spontaneous symmetry breaking is found during the
evolution, It is shown that the stationary spin distribution can be controlled
by the incoming coherent spin state of the incident atom beam, therefore the
atom-condensate scattering provides a new way to probe the spin distribution of
the condensate
