标题： 金刚石中NV中心绝对矢量磁强计的极限 显示英文标题

标题： Limits of absolute vector magnetometry with NV centers in diamond

摘要： 氮化硼（NV）中心在金刚石中已成为一种广泛用于量子传感的平台。单晶金刚石中的四个NV轴特别允许矢量磁强计，其磁场灵敏度可降至$\mathrm{fT}/ \sqrt{\mathrm{Hz}}$。当前文献主要集中在提高基于NV的磁强计的精度。在这里，我们研究通过求解NV哈密顿量从测量的自旋共振频率确定磁场的实验准确性。我们推导出从已知的磁场矢量计算共振频率的精确、解析且易于计算的公式，以及反之从测量的共振频率计算磁场矢量的公式。此外，评估了常用近似的准确性。最后，我们提倡使用Voigt轮廓作为拟合模型，以准确确定测量共振的线宽。我们的分析配有开源的Python软件包。 显示英文摘要

摘要： The nitrogen-vacancy (NV) center in diamond has become a widely used platform for quantum sensing. The four NV axes in mono-crystalline diamond specifically allow for vector magnetometry, with magnetic-field sensitivities reaching down to $\mathrm{fT}/ \sqrt{\mathrm{Hz}}$. The current literature primarily focuses on improving the precision of NV-based magnetometers. Here, we study the experimental accuracy of determining the magnetic field from measured spin-resonance frequencies via solving the NV Hamiltonian. We derive exact, analytical, and fast-to-compute formulas for calculating resonance frequencies from a known magnetic-field vector, and vice versa, formulas for calculating the magnetic-field vector from measured resonance frequencies. Additionally, the accuracy of often-used approximations is assessed. Finally, we promote using the Voigt profile as a fit model to determine the linewidth of measured resonances accurately. An open-source Python package accompanies our analysis.