  We investigate the equilibration of a Kondo model that is initially prepared
in a non-equilibrium state towards its equilibrium behavior. Such initial
non-equilibrium states can e.g. be realized in quantum dot experiments with
time-dependent gate voltages. We evaluate the non-equilibrium spin-spin
correlation function at the Toulouse point of the Kondo model exactly and
analyze the crossover between non-equilibrium and equilibrium behavior as the
non-equilibrium initial state evolves as a function of the waiting time for the
first spin measurement. Using the flow equation method we extend these results
to the experimentally relevant limit of small Kondo couplings.
