  Rapidly quenched Kosterlitz-Thouless (KT) superfluid transitions are studied
by solving the Fokker-Planck equation for the vortex-pair dynamics in
conjunction with the KT recursion relations. Power-law decays of the vortex
density at long times are found, and the results are in agreement with a
scaling proposal made by Minnhagen and co-workers for the dynamical critical
exponent. The superfluid density is strongly depressed after a quench, with the
subsequent recovery being logarithmically slow for starting temperatures near
T$_{KT}$. No evidence is found of vortices being ''created'' in a rapid quench,
there is only decay of the existing thermal vortex pairs.
