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It is shown that there exists a possibility of amplification of amplitudes ofquantum pion modes with low momenta in the late time of chiral phase transitionby using the Gaussian wave functional approximation in the O(4) linear sigmamodel. It is also shown that the amplification occurs in the mechanism of theresonance by forced oscillation as well as the parametric resonance induced bythe small oscillation of the chiral condensate. These mechanisms areinvestigated in both the case of spatially homogeneous system and the spatiallyexpanded system described by the Bjorken coordinate.Comment: 17 pages, 16 figure

Amplification of Quantum Meson Modes in the Late Time of the Chiral Phase Transition