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Quantitative study of the response of a single NV defect in diamond to magnetic noise

MetadataDetails
Publication Date2021-06-15
JournalPhysical review. B./Physical review. B
AuthorsMaxime Rollo, Aurore Finco, Rana Tanos, Florentin Fabre, T. Devolder
InstitutionsCentre National de la Recherche Scientifique, Université Paris-Saclay
Citations25
AnalysisFull AI Review Included

Technical Documentation & Analysis: NV Defect Relaxometry for Magnetic Noise Sensing

Section titled “Technical Documentation & Analysis: NV Defect Relaxometry for Magnetic Noise Sensing”

This document analyzes the research paper “Quantitative study of the response of a single NV defect in diamond to magnetic noise” to provide technical specifications and highlight how 6CCVD’s advanced MPCVD diamond materials and customization services can support and extend this critical quantum sensing research.


The research successfully demonstrates a simple, all-optical method for detecting magnetic noise sources at the nanoscale by leveraging the nitrogen-vacancy (NV) defect’s longitudinal spin relaxation ($T_1$) time.

  • Core Mechanism: Magnetic noise with a spectral component matching the NV electron spin resonance frequency ($f_{NV} = 2.87$ GHz) accelerates the $T_1$ relaxation rate, which is directly observed as a reduction (quenching) of the photoluminescence (PL) signal under continuous optical illumination.
  • Material Requirement: The experiment relies on isolated NV centers hosted in ultrapure, bulk single-crystal diamond (SCD) to achieve a long intrinsic $T_1$ time ($5.5 \pm 0.5$ ms).
  • Performance Achieved: The application of calibrated magnetic noise reduced the $T_1$ time by three orders of magnitude, down to $5.6 \pm 0.2$ ”s.
  • Sensitivity: The method achieved a shot-noise limited sensitivity of approximately 1 ”T2 MHz-1 / √Hz, comparable to pulsed relaxometry techniques but offering practical simplicity.
  • Application Potential: This PL quenching technique is highly suitable for nanoscale imaging of magnetic phenomena, particularly in compensated materials like synthetic antiferromagnets, and for biological/cellular environments due to its low optical power requirements.
  • 6CCVD Value Proposition: 6CCVD specializes in the high-purity SCD required for long $T_1$ coherence, offering custom thicknesses, superior surface polishing (Ra < 1 nm), and integrated metalization necessary for replicating and scaling the microwire setup.

The following hard data points were extracted from the research paper, detailing the physical and performance characteristics of the NV sensing platform.

ParameterValueUnitContext
NV Electron Spin Resonance ($f_{NV}$)2.87GHzZero-field splitting ($m_s = 0$ to $m_s = \pm 1$)
Intrinsic Longitudinal Relaxation ($T_{1}^{0}$)5.5 ± 0.5msNoise OFF, Ultrapure SCD, Room Temperature
Minimum Longitudinal Relaxation ($T_{1}^{min}$)5.6 ± 0.2”sNoise ON, Maximum available power
Maximum Field Spectral Density ($S_{B}^{max}$)~3”T2 MHz-1At NV center position
Shot Noise Limited Sensitivity ($\eta_{cw}$)~1”T2 MHz-1 / √HzContinuous wave (CW) PL quenching method
Noise Frequency Window ($\Delta f$)50MHzFixed width for magnetic noise signal
Optical Saturation Power ($P_{sat}$)~300”WPower required to saturate the optical transition
Polarization Rate at Saturation ($\Gamma_{P}^{\infty}$)~5 x 106s-1Fixed by metastable state lifetime (~200 ns)
Microwire Resistance ($R$)50ΩUsed for calibrated noise power measurement
NV Distance from Microwire ($d$)28 ± 4”mDistance from the edge of the copper microwire
NV Quantization Axis Angle ($\theta$)48°Angle relative to the fluctuating Oersted field

The experiment relies on precise control over the NV defect environment, optical excitation, and calibrated magnetic noise generation.

  1. Material Selection: Individual NV defects were isolated in an ultrapure, bulk diamond crystal (SCD), ensuring minimal intrinsic magnetic noise and long intrinsic $T_1$ times.
  2. Optical Setup: A scanning confocal microscope was used for room-temperature isolation and continuous green laser illumination (optical pumping).
  3. Noise Generation: A copper microwire was spanned directly on the diamond surface. A tunable noise signal (mixing a low-frequency white noise source with a microwave carrier) was sent through the microwire, generating a fluctuating Oersted field ($S_B$).
  4. $T_1$ Calibration (Pulsed Relaxometry): The longitudinal spin relaxation time $T_1$ was measured using a standard sequence:
    • Optical polarization pulse (3 ”s) to initialize $m_s = 0$.
    • Variable dark delay ($\tau$).
    • Readout laser pulse (3 ”s) to measure final spin population via PL signal.
  5. PL Quenching Measurement (CW Relaxometry): The effect of magnetic noise was measured by comparing the steady-state PL rate in the absence ($R_0$) and presence ($R_{cw}$) of magnetic noise under continuous optical illumination.
  6. Model Validation: Experimental results were successfully described using a simplified closed three-level model of the NV defect, linking the reduction in $T_1$ to the observed PL quenching ratio ($R_{cw}/R_0$).

6CCVD is uniquely positioned to supply the advanced MPCVD diamond materials and custom fabrication services required to replicate, scale, and enhance this cutting-edge quantum sensing research.

The success of this experiment hinges on the quality of the diamond crystal, specifically the purity and control over the NV center environment.

6CCVD MaterialSpecificationRelevance to Research
Optical Grade SCDNitrogen concentration < 5 ppb (parts per billion).CRITICAL: Ensures maximum intrinsic $T_{1}^{0}$ (long coherence) necessary for high-sensitivity relaxometry and isolated single NV centers.
Custom NV Density SCDControlled nitrogen implantation/doping (PPM level) or post-growth annealing.Allows researchers to optimize the density of NV centers for high-throughput imaging applications (e.g., nanoscale imaging of antiferromagnets).
High Purity PCDPlates up to 125 mm diameter, low defect density.Ideal for scaling up magnetic noise sensing arrays or integrating large-area sensors where single-NV isolation is not strictly required.

The experimental setup requires precise integration of the diamond substrate with micro-scale components (the copper microwire). 6CCVD offers the necessary fabrication steps in-house.

  • Custom Dimensions and Thickness:
    • 6CCVD supplies SCD wafers in custom thicknesses (0.1 ”m to 500 ”m) and substrates up to 10 mm thick, allowing researchers to optimize the distance ($d$) between the NV layer and the surface structures.
    • We offer plates/wafers up to 125 mm (PCD) for large-scale sensor development.
  • Superior Surface Finish:
    • The experiment requires a smooth surface for reliable microwire deposition. 6CCVD guarantees Ra < 1 nm for SCD and Ra < 5 nm for inch-size PCD, ensuring minimal scattering losses and high-quality lithography.
  • Integrated Metalization:
    • To simplify the fabrication of the Oersted field generator (microwire), 6CCVD offers internal metalization services, including standard stacks like Ti/Pt/Au, Pd, W, or Cu. This capability allows researchers to receive ready-to-use substrates with pre-patterned contacts or microwires.
  • Precision Laser Cutting:
    • We provide custom laser cutting and shaping services to ensure the diamond substrate geometry perfectly matches the requirements of the scanning confocal microscope or cryostat setup.

6CCVD’s in-house PhD team specializes in optimizing diamond growth parameters for quantum applications. We offer consultation on:

  • Material Selection: Assisting researchers in selecting the optimal purity and thickness of SCD to maximize $T_1$ coherence time for similar NV Relaxometry and Quantum Sensing projects.
  • Defect Engineering: Tailoring the NV creation process (e.g., implantation energy, annealing temperature) to place the NV layer at a specific, controlled distance from the surface, critical for maximizing coupling efficiency to nanoscale magnetic noise sources.
  • Integration Challenges: Providing technical guidance on surface preparation and metalization schemes for robust integration of micro-electronic components onto diamond.

For custom specifications or material consultation, visit 6ccvd.com or contact our engineering team directly.

View Original Abstract

The nitrogen-vacancy (NV) defect in diamond is an efficient quantum sensor of randomly fluctuating signalsvia relaxometry measurements. In particular, the longitudinal spin relaxation of the NV defect accelerates in thepresence of magnetic noise with a spectral component at its electron spin resonance frequency.We look into thiseffect quantitatively by applying a calibrated and tunable magnetic noise on a single NV defect.We show that anincrease of the longitudinal spin relaxation rate translates into a reduction of the photoluminescence (PL) signalemitted under continuous optical illumination, which can be explained using a simplified three-level model of theNV defect. This PL quenching mechanism offers a simple, all-optical method to detect magnetic noise sourcesat the nanoscale.