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We analyze, through resonant photoluminescence, the spin dynamics of anindividual magnetic atom (Mn) coupled to a hole in a semiconductor quantum dot.The hybrid Mn-hole spin and the positively charged exciton in a CdTe/ZnTequantum dot forms an ensemble of $\Lambda$ systems which can be addressedoptically. Auto-correlation of the resonant photoluminescence and resonantoptical pumping experiments are used to study the spin relaxation channels inthis multilevel spin system. We identified for the hybrid Mn-hole spin anefficient relaxation channel driven by the interplay of the Mn-hole exchangeinteraction and the coupling to acoustic phonons. We also show that the optical$\Lambda$ systems are connected through inefficient spin-flips than can beenhanced under weak transverse magnetic field. The dynamics of the resonantphotoluminescence in a p-doped magnetic quantum dot is well described by acomplete rate equation model. Our results suggest that long lived hybridMn-hole spin could be obtained in quantum dot systems with largeheavy-hole/light-hole splitting.

Resonant photoluminescence and dynamics of a hybrid Mn-hole spin in a positively charged magnetic quantum dot