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Within the framework of a general three-level problem, the dynamics of thenitrogen-vacancy (NV) spin is studied for the case of a special type ofexternal driving consisting of a set of continuous fields with decreasingintensities. Such a set has been proposed for minimizing coherence losses. Eachnew driving field with smaller intensity is designed to protect against thefluctuations induced by the driving field at the preceding step with largerintensity. We show that indeed this particular type of external drivingminimizes the loss of coherence, using purity and entropy as quantifiers forthis purpose. As an illustration, we study the coherence loss of an NV spin dueto a surrounding spin bath of $^{13}$C nuclei.

Three-level spin system under decoherence-minimizing driving fields: Application to nitrogen-vacancy spin dynamics