2025/04/29 by Dennis Lönard, Lönard, Dennis, Barbosa, Isabel Cardoso +5 · 1 citation
Earth and Planetary Sciences · Engineering · Materials Science · #Data Analysis #Diamond and Carbon-based Materials Research #FOS: Physical sciences #High-pressure geophysics and materials #Magnetic Field Sensors Techniques #Quantum Physics (quant-ph) #Statistics and Probability (physics.data-an)
paper · pdf · doi:10.48550/arxiv.2504.20750
openalex publication_date 2025/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 fT/ √(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.