Experimental investigation of vector static magnetic field detection using an NV center with a single first-shell ¹³C nuclear spin in diamond

We perform a proof-of-principle experiment that uses a single negatively charged nitrogen-vacancy (NV) color center with a nearest neighbor ¹³C nuclear spin in diamond to detect the strength and direction (including both polar and azimuth angles) of a static vector magnetic field by optical detection magnetic resonance (ODMR) technique. With the known hyperfine coupling tensor between an NV center and a nearest neighbor ¹³C nuclear spin, we show that the information of static vector magnetic field could be extracted by observing the pulsed continuous wave (CW) spectrum.