Estimation of vector static magnetic field by a nitrogen-vacancy center with a single first-shell 13C nuclear (NV–13C) spin in diamond
Jiang Feng-Jian†, , Ye Jian-Feng, Jiao Zheng, Huang Zhi-Yong, Lv Hai-Jiang
       

(color online) (a) Red and blue lines correspond to the cases of and respectively. The four curves of each group (red or blue lines) associated with Larmor splittings Δ correspond to fixed four azimuth angles , which can be distinguished by changes of Δ (at least ∼100 kHz/0.1 rad) for relatively large misalignment angle θ relative to the z axis. (b) Dashed and solid lines correspond to the cases of and respectively. The four resonance frequencies of each group (dashed or solid lines) are sensitive and insensitive to the changes of θ and ϕ, respectively. In contrast to panel (a), the resonance frequencies are almost unchanged (at most ∼2 kHz/0.1 rad) for the chosen fixed four different azimuth angles ϕ = 3π/36, 5π/36, 7π/36, and 9π/36. Notations are defined in the main text.