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Motivated by recent experiments on molecular quantum dots we investigate therelaxation of pure spin states when coupled to metallic leads. Under suitableconditions these systems are well described by a ferromagnetic Kondo model.Using two recently developed theoretical approaches, the time-dependentnumerical renormalization group and an extended ow equation method, wecalculate the real-time evolution of a Kondo spin into its partially screenedsteady state. We obtain exact analytical results which agree well withnumerical implementations of both methods. Analytical expressions for thesteady state magnetization and the dependence of the long-time relaxation onmicroscopic parameters are established. We find the long-time relaxationprocess to be much faster in the regime of anisotropic Kondo couplings. Thesteady state magnetization is found to deviate significantly from its thermalequilibrium value.

Nonequilibrium Spin Dynamics in the Ferromagnetic Kondo Model