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We investigate the coherence properties of individual nuclear spin quantumbits in diamond [Dutt et al., Science, 316, 1312 (2007)] when a proximalelectronic spin associated with a nitrogen-vacancy (NV) center is beinginterrogated by optical radiation. The resulting nuclear spin dynamics aregoverned by time-dependent hyperfine interaction associated with rapidelectronic transitions, which can be described by a spin-fluctuator model. Weshow that due to a process analogous to motional averaging in nuclear magneticresonance, the nuclear spin coherence can be preserved after a large number ofoptical excitation cycles. Our theoretical analysis is in good agreement withexperimental results. It indicates a novel approach that could potentiallyisolate the nuclear spin system completely from the electronic environment.

Coherence of an optically illuminated single nuclear spin qubit