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We investigate experimentally and theoretically the temporal evolution of thespin of the conduction band electron and that of the valence band heavy hole,both confined in the same semiconductor quantum dot. In particular, thecoherence of the spin purity in the limit of a weak externally applied magneticfield, comparable in strength to the Overhauser field due to fluctuations inthe surrounding nuclei spins. We use an all-optical pulse technique to measurethe spin evolution as a function of time after its initialization. We show forthe first time that the spin purity performs complex temporal oscillationswhich we quantitatively simulate using a central spin model. Our modelencompasses the Zeeman and the hyperfine interactions between the spin and theexternal and Overhauser fields, respectively. Our novel studies are essentialfor the design and optimization of quantum-dot-based entangled multi-photonsources. Specifically, cluster and graph states, which set stringentlimitations on the magnitude of the externally applied field.

The coherence of quantum dot confined electron- and hole-spin in low external magnetic field