Estimation of vector static magnetic field by a nitrogen-vacancy center with a single first-shell <sup>13</sup>C nuclear (NV

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) The energy-level diagram of NV–¹³C center ground state. The hyperfine splitting of Δ and correspond to m_s = 0 and ground-state manifolds due to coupled to the nearest ¹³C nuclear spin. (b) Under the low power microwave, six resonance peaks could be observed due to the hyperfine interaction between electron and ¹⁴N nuclear spin. (c) Ramsey sequence for detecting the Larmor splitting Δ. Notations are defined in the main text.