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    Real-time amplitude and phase estimation of ac magnetic fields with spins in diamond

    C. T.-K. Lew*, S. A. Wilkinson, N. Gillespie, B. C. Gibson, D. A. Broadway, and J.-P. Tetienne

    • *Contact author: christopher.tao-kuan.lew@rmit.edu.au

    Phys. Rev. Applied 26, 024064 – Published 24 August, 2026

    DOI: https://doi.org/10.1103/d5bm-lsjj

    Abstract

    Nitrogen-vacancy (NV) centers in diamond have been shown to be capable of detecting ac magnetic fields with high sensitivity, spectral resolution, and spatial resolution. However, most studies so far have focused on the regime of time-averaged or time-correlated measurements, while little attention has been paid to the single-shot regime. Here we show that the amplitude and phase of an ac field can be retrieved from a single pair of two consecutive measurements. We demonstrate this concept by measuring a 4 MHz ac field with a per-shot amplitude and phase sensitivity of 78  nT and 63  mrad, respectively, at a temporal resolution of 320  μs. We also investigate the effects and quantify the errors resulting from probe frequency detunings, as well as operating in the strong field regime. Moreover, we showcase the ability of the measurement protocol to dynamically change the probe frequency in real time. This work advances the use of NV centers for real-time measurements of ac magnetic fields.

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