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The dynamics of single electron and nuclear spins in a diamond lattice with different ^13C nuclear spin concentration is investigated. It is shown that coherent control of up to three individual nuclei in a dense nuclear spin cluster is feasible. The free-induction decays of nuclear spin Bell states and single nuclear coherences among ^13C nuclear spins are compared and analyzed. Reduction in a free-induction-decay time T₂^ and a coherence time T₂ upon increase in nuclear spin concentration has been found. For pure diamond, T₂^ as long as 30 and T₂ of up to 0. 65 ms for the electron spin has been observed. The ^13C concentration dependence of T₂^ is explained by Fermi contact and dipolar interactions with nuclei in the lattice. It has been found that T₂ decreases approximately as 1/n, where n is ^13C concentration, which corresponds to the reported theoretical line of T₂ for an electron spin interacting with a nuclear spin bath.
Mizuochi et al. (Mon,) studied this question.