  We have simulated the possible $\Theta$ vacua states in heavy ion collisions.
In a quench like scenario, random phases of the chiral fields were evolved in a
zero temperature potential incorporating the breaking of $U_A(1)$ symmetry.
Initial random phases very quickly settles into oscillation around the values
dictated by the potential. The simulation indicate that $\Theta$ vacua states
that can be populated in heavy ion collisions is a coherent superposition of a
number of modes.
