  We consider quantum phase transitions with global symmetry breakings that
result in the formation of topological defects. We evaluate the number
densities of kinks, vortices, and monopoles that are produced in $d=1,2,3$
spatial dimensions respectively and find that they scale as $t^{-d/2}$ and
evolve towards attractor solutions that are independent of the quench
timescale. For $d=1$ our results apply in the region of parameters $\lambda
\tau/m \ll 1$ where $\lambda$ is the quartic self-interaction of the order
parameter, $\tau$ is the quench timescale, and $m$ the mass parameter.
