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Solid state spins in diamond, in particular negatively chargednitrogen-vacancy centers (NV), are leading contenders in the field of quantumsensing. While addressing of single NVs offers nanoscale spatial resolution,many implementations benefit from using large ensembles to increase signalmagnitude and therefore sensitivity. However, sensing with ensembles brings itsown challenges given the random orientation of the spin quantization axiswithin the diamond crystal lattice. Here, we present an open source simulationtool that models the influence of arbitrary electric and magnetic fields on theelectronic and nuclear spin states of NV ensembles, and can be extended toother color centers. Specifically, the code computes the transition strengthsand predicts the sensitivity under shot-noise-limited optically-detectedmagnetic resonance. We illustrate the use of the code in the context ofelectric field sensing, a promising emerging functionality of NV centers withapplications in biosensing and electronics, and bring several subtle featuresto light that are due to the interplay between different NV orientations andthe external electric and microwave fields. Moreover, we show that our code canbe used to optimize sensitivity in situations where usual arguments based onneglecting terms in the full Hamiltonian would give sub-optimal results.Finally, we propose a novel sensing scheme which allows to perform full vectorelectrometry without the need for precise bias magnetic field alignment, thusreducing the experimental complexity and speeding up the measurement procedure.

Simulation of ODMR Spectra from Nitrogen-Vacancy Ensembles in Diamond for Electric Field Sensing