Dynamic frequency shift in NV− center in diamond induced by anisotropic in-plane vacuum fluctuation

Abstract

Abstract Sensor applications of a negatively charged nitrogen vacancy (NV−) center in diamond are now in practical use, yet for finer sensitivity, a comprehensive understanding of various kinds of sources that cause detrimental relaxation and damping is still required. During the course of theoretical study regarding this, we found that Gaussian white noise with the zero mean has a substantial effect, which manifests itself in a period of free induction decay (FID) oscillation. This effect is experimentally detectable through comparison with zero-field splitting fixed by, e.g., optically detected magnetic resonance. The result is corroborated by a different analytical framework, the Lindblad master equation. Our finding in the FID oscillation period, or an equivalent energy shift, is concluded to fall into a class of dynamic frequency shift.