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The dynamics of a spin-1/2 particle coupled to a nuclear spin bath through anisotropic Heisenberg interaction is studied, as a model for the spindecoherence in quantum dots. The time-dependent polarization of the centralspin is calculated as a function of the bath-spin distribution and thepolarizations of the initial bath state. For short times, the polarization ofthe central spin shows a gaussian decay, and at later times it revivesdisplaying nonmonotonic time dependence. The decoherence time scale dep ends onmoments of the bath-spin distribuition, and also on the polarization strengthsin various bath-spin channels. The bath polarizations have a tendency toincrease the decoherence time scale. The effective dynamics of the central spinpolarization is shown to be describ ed by a master equation with non-markovianfeatures.Comment: 11 pages, 6 figures Accepted for publication in Phys.Rev

Spin decoherence from Hamiltonian dynamics in quantum dots