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arxiv: 2604.20901 · v1 · submitted 2026-04-21 · ❄️ cond-mat.mes-hall · quant-ph

Impact of Photoelectric Readout Noise on Magnetic Field Sensitivity of NV Centers in Diamond

Ilia Chuprina , Genko Genov , Christoph Findler , Johannes Lang , Petr Siyushev , Fedor Jelezko This is my paper

Pith reviewed 2026-05-10 01:37 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall quant-ph
keywords NV centersdiamondphotoelectric readoutmagnetic sensingJohnson-Nyquist noisespin readoutmagnetometry
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The pith

Photoelectric readout of NV centers in diamond can achieve magnetic field sensitivity an order of magnitude better than optical methods when limited by Johnson-Nyquist noise.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This paper examines the noise sources in photoelectric readout of nitrogen-vacancy centers for magnetic field sensing and compares them directly to conventional optical readout. Optical methods are constrained by photon shot noise, while photoelectric detection introduces electronic noise that the authors model using Gaussian statistics. Their analysis of single and ensemble NV centers shows that when Johnson-Nyquist noise dominates, the resulting sensitivity can exceed optical performance by roughly ten times. The work includes experimental estimates of readout efficiency and points toward integrated diamond magnetometers that avoid optical detection chains. A sympathetic reader would care because this suggests a route to more sensitive, compact sensors for applications from nanoscale imaging to macro-scale field mapping.

Core claim

Quantitative analysis of photoelectric readout in NV centers demonstrates that Johnson-Nyquist noise-limited magnetic field sensitivity can outperform optical readout by an order of magnitude. This conclusion rests on measurements with both single and ensemble centers, combined with Gaussian statistics modeling of readout efficiency that accounts for the electronic noise in the photoelectric detection process.

What carries the argument

Photoelectric (PE) readout of the NV center electron spin state, with electronic noise modeled under Gaussian statistics to determine readout efficiency.

If this is right

  • Photoelectric readout removes the photon shot noise ceiling that limits optical NV magnetometry.
  • Readout efficiency estimates derived from Gaussian noise statistics enable quantitative sensitivity predictions for both single and ensemble NV centers.
  • The approach supports development of on-chip diamond magnetometers that integrate directly with electronic readout circuits.
  • Sensitivity gains of approximately tenfold open the possibility of higher-resolution magnetic imaging at the nanoscale.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Integration with existing semiconductor electronics becomes more straightforward because photoelectric signals are already electrical, potentially allowing hybrid diamond-CMOS devices.
  • Identifying and suppressing secondary noise sources beyond Johnson-Nyquist could produce additional sensitivity improvements not quantified in the present work.
  • The same noise analysis framework could be applied to other spin defects or readout modalities where electrical detection replaces optical collection.

Load-bearing premise

Johnson-Nyquist noise dominates the photoelectric readout and the Gaussian statistics model fully captures the readout efficiency without major contributions from other unmodeled noise sources.

What would settle it

A direct measurement of the photoelectric readout noise power spectrum in an operating NV diamond sensor that either confirms Johnson-Nyquist noise as the leading term or reveals a different dominant source that reduces the predicted sensitivity gain.

Figures

Figures reproduced from arXiv: 2604.20901 by Christoph Findler, Fedor Jelezko, Genko Genov, Ilia Chuprina, Johannes Lang, Petr Siyushev.

Figure 1
Figure 1. Figure 1: FIG. 1. Photoelectrical detection on an implanted NV ensemble. (a) Optical and photoelectrical raster confocal maps of [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Photoelectrically and optically detected Ramsey os [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Phase sweep of the second [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Amplitude Spectral Density (ASD) and overlap [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Readout efficiencies calculated per measurement for [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Optimization of the optical readout efficiency [PITH_FULL_IMAGE:figures/full_fig_p009_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7. Optimization of the photoelectric (PE) readout efficiency [PITH_FULL_IMAGE:figures/full_fig_p011_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8. Pulse-envelope implementation of the Ramsey sens [PITH_FULL_IMAGE:figures/full_fig_p018_8.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10. Calculated shot and Johnson-Nyquist rms noise. (a) [PITH_FULL_IMAGE:figures/full_fig_p019_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: FIG. 11. The amplitude spectral density (asd) of the pho [PITH_FULL_IMAGE:figures/full_fig_p020_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: FIG. 12. The calculated Allan deviation of the raw optical [PITH_FULL_IMAGE:figures/full_fig_p020_12.png] view at source ↗
Figure 13
Figure 13. Figure 13: FIG. 13. Fitting of oADEV from the main text using [PITH_FULL_IMAGE:figures/full_fig_p021_13.png] view at source ↗
Figure 14
Figure 14. Figure 14: FIG. 14. Fitting of oADEV from the main text using [PITH_FULL_IMAGE:figures/full_fig_p022_14.png] view at source ↗
read the original abstract

Nitrogen-vacancy (NV) centers in diamond are of great interest for nano- and macro-scale magnetic field sensing. Most sensing protocols rely on conventional optical readout, which is limited by photon shot noise. The recently developed photoelectrical (PE) readout of the NV center electron spin state promises to overcome these limitations. However, the noise of the PE readout and its influence on readout efficiency have not been thoroughly studied. In this work, we perform magnetic field sensing and estimate the sensitivity using optical and PE readout with a single and an ensemble of NV centers in diamond. We investigate the electronic noise associated with the photoelectric detection and estimate the readout efficiency, using Gaussian statistics. Our quantitative analysis shows that the Johnson-Nyquist noise-limited photoelectric magnetic field sensitivity could outperform optical measurements by an order of magnitude. This work is an essential step towards the development of on-chip magnetometers using photoelectrical detection in diamond.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript analyzes photoelectric (PE) readout of NV centers in diamond, characterizing electronic noise and using Gaussian statistics to estimate readout efficiency for both single and ensemble NV centers. It concludes that Johnson-Nyquist noise-limited PE readout can achieve magnetic field sensitivities an order of magnitude better than conventional optical readout, supporting development of on-chip NV magnetometers.

Significance. If the noise model holds, the projected sensitivity improvement would be a meaningful advance for NV-based quantum sensing, enabling more compact devices that bypass photon-shot-noise limits of optical detection. The experimental comparison of single-NV and ensemble data provides a useful benchmark for practical implementation.

major comments (2)
  1. [Abstract and noise characterization section] The central quantitative claim (abstract) that JN-limited PE sensitivity outperforms optical readout by an order of magnitude rests on the unverified assumption that Johnson-Nyquist noise dominates the PE circuit; no noise power spectral density, bandwidth scaling, or subtraction of amplifier/dark-current contributions is reported to confirm dominance over 1/f, generation-recombination, or excess electronics noise.
  2. [Sensitivity estimation and readout efficiency analysis] The readout-efficiency extraction via Gaussian statistics (methods/results) lacks explicit error propagation, variance scaling checks, or comparison against alternative noise models, which directly affects the robustness of the projected sensitivity gain.
minor comments (2)
  1. [Abstract] The abstract would be clearer if it stated the specific measured or projected sensitivity values (in nT/√Hz or equivalent) rather than only the order-of-magnitude comparison.
  2. [Throughout] Notation for noise terms (e.g., Johnson-Nyquist amplitude and readout efficiency factor) should be defined consistently in the main text and equations.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading and constructive comments, which help clarify the presentation of our noise analysis and sensitivity projections. We address each major comment below and will incorporate revisions to improve the manuscript's rigor.

read point-by-point responses

  1. Referee: [Abstract and noise characterization section] The central quantitative claim (abstract) that JN-limited PE sensitivity outperforms optical readout by an order of magnitude rests on the unverified assumption that Johnson-Nyquist noise dominates the PE circuit; no noise power spectral density, bandwidth scaling, or subtraction of amplifier/dark-current contributions is reported to confirm dominance over 1/f, generation-recombination, or excess electronics noise.

    Authors: We agree that explicit confirmation of Johnson-Nyquist dominance strengthens the central claim. The manuscript's noise characterization section reports measured noise levels consistent with the expected JN contribution for the circuit parameters and bandwidth used, but does not include the full PSD or detailed subtraction analysis. In revision we will add noise PSD data across the relevant frequency range (showing the white-noise regime), explicit bandwidth scaling, and discussion of how amplifier and dark-current contributions were assessed or shown to be sub-dominant. These additions will directly support the assumption without changing the reported sensitivity projections. revision: yes

  2. Referee: [Sensitivity estimation and readout efficiency analysis] The readout-efficiency extraction via Gaussian statistics (methods/results) lacks explicit error propagation, variance scaling checks, or comparison against alternative noise models, which directly affects the robustness of the projected sensitivity gain.

    Authors: We acknowledge that the current presentation of the Gaussian-statistics extraction would benefit from additional quantitative checks. The approach follows standard practice for ensemble and single-NV data under the central-limit theorem, but explicit error propagation and scaling tests are not shown. We will revise the methods and results sections to include propagated uncertainties on the readout efficiency, variance scaling versus integration time or averaging, and a short comparison to alternative models (e.g., Poisson statistics) demonstrating that the order-of-magnitude sensitivity advantage remains robust. These changes will not alter the main conclusions. revision: yes

Circularity Check

0 steps flagged

No circularity: sensitivity projection follows from direct measurements and standard Johnson-Nyquist model

full rationale

The paper estimates magnetic-field sensitivity from experimental optical and photoelectric readout data on single and ensemble NV centers, models the dominant electronic noise as Johnson-Nyquist, and applies Gaussian statistics to extract readout efficiency. No equation or step reduces the claimed order-of-magnitude improvement to a fitted parameter by construction, nor does any load-bearing premise rest on a self-citation chain or imported uniqueness theorem. The derivation therefore remains self-contained against external benchmarks and does not exhibit any of the enumerated circularity patterns.

Axiom & Free-Parameter Ledger

2 free parameters · 2 axioms · 0 invented entities

The central claim rests on the assumption that Johnson-Nyquist noise dominates the photoelectric signal and that Gaussian statistics suffice to convert measured noise into readout efficiency and sensitivity figures. No free parameters are explicitly named in the abstract, but noise amplitudes and efficiency values are necessarily extracted from data.

free parameters (2)
  • Johnson-Nyquist noise amplitude
    Measured or fitted from the photoelectric detection electronics to set the sensitivity limit.
  • Readout efficiency factor
    Derived via Gaussian statistics from the observed noise distribution for single and ensemble NV centers.
axioms (2)
  • domain assumption Photoelectric readout noise is Johnson-Nyquist limited
    Invoked to claim the order-of-magnitude sensitivity advantage over optical shot-noise-limited readout.
  • domain assumption Readout efficiency follows Gaussian statistics
    Used to estimate how well spin state information is converted into measurable signal for both readout modalities.

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