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Exploratory Study on Electric Field Measurement Utilizing Nitrogen-Vacancy Centers in Diamond

Jing Liu, Haoliang Hu, Han Wang, Qian Ma

Published Nov 21, 2025• 0 citations
Publisher

Abstract

Diamond nitrogen-vacancy (NV) centers are widely studied for quantum sensing in multiple physical fields due to their long coherence time and room-temperature optical readout. However, accurately decoupling and extracting signals for individual fields from fluorescence remains a major challenge. In this work, by establishing the spatial configuration between the four axes of the NV center and the directions of the externally applied electric and magnetic fields, the resonance frequency shifts of two pairs in the ODMR spectrum are exclusively induced by the electric field, whereas those of the other two pairs are exclusively induced by the magnetic field. Consequently, effective decoupling and readout of the electric field signal are realized. The experiments measure electric fields from 0 to 20 kV/cm in the diamond sample, revealing a linear relationship between the resonance frequency shift and the applied electric field, with coefficients 0.1713MHz/(kV/cm) and 0.1660MHz/(kV/cm) matching the NV center’s linear Stark effect, laying the foundation for subsequent research on electric field measurement.

DOI
10.1109/mcai66356.2025.11381925

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Diamond nitrogen-vacancy (NV) centers are widely studied for quantum sensing in multiple physical fields due to their long coherence time and room-temperature optical readout. However, accurately decoupling and extracting signals for individual fields from fluorescence remains a major challenge. In this work, by establishing the spatial configuration between the four axes of the NV center and the directions of the externally applied electric and magnetic fields, the resonance frequency shifts of two pairs in the ODMR spectrum are exclusively induced by the electric field, whereas those of the other two pairs are exclusively induced by the magnetic field. Consequently, effective decoupling and readout of the electric field signal are realized. The experiments measure electric fields from 0 to 20 kV/cm in the diamond sample, revealing a linear relationship between the resonance frequency shift and the applied electric field, with coefficients 0.1713MHz/(kV/cm) and 0.1660MHz/(kV/cm) matching the NV center’s linear Stark effect, laying the foundation for subsequent research on electric field measurement.
Characterizing electric field noise in diamond is crucial for utilizing nitrogen-vacancy (NV) centers as probes and qubits. However, NV centers under axial magnetic fields are sensitive to magnetic fields and thus are limited in their ability to characterize electric fields directly. In this study, we engineered NV centers exhibiting strong intrinsic effective electric fields through ion implantation into CVD-grown diamond. We selected seven NV centers with splittings in the range of 18–66 MHz as the focus of our research. By virtue of the suppression effect of the strong effective field on the magnetic field, the energy level shift caused by the magnetic field was reduced by two orders of magnitude. Combining spectral decomposition techniques, we extracted the electric noise spectrum in the low-frequency range from the environmental noise. Our results indicate that the near-surface electrical noise of the diamond deviates from the 1/f noise model, and two characteristic correlation times were observed within the measured frequency range (1–10 MHz).
Diamond nitrogen-vacancy (NV) centers have attracted extensive research interest for quantum sensing applications across various physical domains, owing to their prolonged coherence times and the capability of optical readout at room temperature, which offers a promising technical pathway for detecting fast-responding and transient signals in emerging power systems. This work presents a quantum sensing device based on the Zeeman and Stark effects of NV centers, designed for power system measurement applications, with a rated voltage of 10kV and a rated current of 1kA, enabling simultaneous voltage and current sensing. The device achieves a measurement accuracy of 0.69% under the rated voltage of 10 kV and +0.23% under the rated current of 1 kA, verifying the feasibility of employing quantum sensing based on NV centers for simultaneous voltage and power measurements in power systems.
We report measurements of optically detected magnetic resonance spectra of ensembles of negatively charged nitrogen-vacancy (NV) centers in diamonds in the presence of strain and DC external electric fields. The Stark shift of the spectral lines is stronger when the axial magnetic field along the NV centers quantization axis is minimized. The shift is also enhanced at avoided crossings between the hyperfine levels at an axial field of 77 uT. Since the intrinsic strain in the diamond also induces a Stark shift, we are able to calculate the magnitude and direction of the strain within the crystal. We also use the Stark effect to map the electric field in the diamond volume between patterned electrodes.
Precision measurements of electric current flow in motors and power converters is indispensable for efficient digital control by monitoring their energy use. Nitrogen-vacancy (NV) centers in a crystalline diamond are promising candidates for sensitive magnetometry and electric current measurements. In a diamond quantum sensor with NV centers, the Zeeman splitting of the electron spin state of the NV center can be utilized to detect magnetic field. This is because the splitting of the spectral line is proportional to the external magnetic field strength, and the arbitrary constant of the gyromagnetic ratio is independent of both frequency and magnetic field. Then, the Zeeman splitting can be measured with optically detected magnetic resonance (ODMR) spectroscopy.
This thesis investigates the theoretical foundations, material properties, and experimental realization of quantum sensors based on the Nitrogen-Vacancy (NV) centers in diamond, a solid-state system that combines quantum coherence with room-temperature operability. The first chapter introduces the principles of quantum sensing, outlining the fundamental definitions, operating protocols, and physical processes underlying the quantum measurement paradigm. Emphasis is placed on the quantum sensing Hamiltonian and the distinction between various classes of quantum sensors. The second chapter focuses on diamond as a host material and on the NV center as a quantum defect. The electronic structure, optical transitions, and spin properties of the NV center are analyzed in detail. Several techniques of NV-based magnetometry are presented, including continuouswave and pulsed optically detected magnetic resonance (ODMR). The discussion also addresses coherence times (T1, T2, and T∗2 ) and methods of diamond synthesis together with NV-center generation through irradiation and annealing. Chapter three develops the physical theory describing the NV center. The Hamiltonian formalism includes spin-spin, hyperfine, and quadrupolar interactions, as well as couplings to external magnetic fields. The chapter further introduces the Bloch sphere representation, magnetic resonance phenomena, and models of lightmatter interaction, ranging from the semiclassical to the fully quantum Rabi framework. A seven-level rate-equation model is proposed to capture the spin dynamics and optical cycling processes of the NV center. The fourth chapter reports the experimental results. After describing materials and methods, several ODMR-based vector magnetometry experiments are presented, highlighting different spectral regimes and the dependence of resonance features on the external magnetic field geometry. Additional studies demonstrate temperature sensing and microwave-free magnetometry techniques for mapping magnetic field distributions. Sensitivity analysis and calibration procedures are also discussed.
Among the possible defects that can occur in diamonds, one that draws attention is the nitrogen-vacancy (NV) center.Studied since the early 90s, in recent years, they became one of the most promising platforms for field applications of quantum technology at room temperature, especially for quantum sensing.They are sensitive to electric and magnetic fields, temperature, and strain, making these nanosensors a versatile platform for many applications.The NV center's spin state is easy to read and manipulate by optical means, and, most interestingly, it works well at room temperature, which facilitates its use.The great challenge to implement quantum protocols and quantum algorithms is the coherence time of the quantum states.The NV center stands out for having relatively high coherence times at room temperature.This dissertation presents measurements to characterize the electron spin coherence of NV centers in an ultrapure sample of diamond designed for quantum sensing applications.These measurements combine optical e magnetic resonance techniques.For that, a method was implemented using a conventional CCD camera and a clever imaging protocol, making it possible to perform various pulsed microwave experiments on the electron spin, such as Rabi oscillations and Hahn spin-echo, which were used for determining the characteristic relaxation times (T 1 and T 2 ).Results show that this system provides at least two readily accessible qubits that can be used in quantum protocols even at room temperature.