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Using the emission of the positively charged exciton as a probe, we analyzethe dynamics of the optical pumping and the dynamics of the relaxation of a Mnspin exchange-coupled with a confined hole spin in a II-VI semiconductorquantum dot. The hole-Mn spin can be efficiently initialized in a few tens of$ns$ under optical injection of spin polarized carriers. We show that thisoptical pumping process and its dynamics are controlled by electron-Mnflip-flops within the positively charged exciton-Mn complex. The pumpingmechanism and its magnetic field dependence are theoretically described by amodel including the dynamics of the electron-Mn complex in the excited stateand the dynamics of the hole-Mn complex in the ground state of the positivelycharged quantum dot. We measure at zero magnetic field a spin relaxation timeof the hole-Mn spin in the $\mu s$ range or shorter. This hole-Mn spinrelaxation is induced by the presence of valence band mixing in self-assembledquantum dots.

Dynamics of a Mn spin coupled to a single hole confined in a quantum dot