Wideband Covariance Magnetometry below the Diffraction Limit
At a Glance
Section titled âAt a Glanceâ| Metadata | Details |
|---|---|
| Publication Date | 2025-09-25 |
| Journal | Physical Review Letters |
| Authors | Xuan Hoang Le, Pavel E. Dolgirev, Piotr Put, Emilee Anne Peterson, Arjun Pillai |
| Institutions | ETH Zurich, Harvard University |
| Analysis | Full AI Review Included |
Executive Summary
Section titled âExecutive Summaryâ- Core Achievement: Experimental demonstration of wideband covariance magnetometry, achieving spatial resolution below the optical diffraction limit (nm to ”m scale).
- Sensor Technology: Utilizes two spectrally resolved Nitrogen-Vacancy (NV) centers in 12C-enriched diamond as nanoscale magnetometers.
- MHz Sensitivity: Probed correlated MHz-range noise with a high magnetic sensitivity of 15 nT Hz-1/4 using a Ramsey-based protocol.
- GHz Correlation: Extended sensing capability to GHz frequencies using Correlated T1 spectroscopy, observing complex superradiant-like coherent and incoherent dynamics.
- Readout Fidelity: Achieved low readout noise (ÏR = 3-4) necessary for correlation measurements by employing optical super-resolution and Resonantly-Assisted Spin-to-Charge Conversion (RA-SCC).
- Application Scope: Provides a powerful, scalable tool for investigating nonlocal collective phenomena, critical fluctuations, and correlated transport in 2D condensed matter systems across the DC to GHz spectrum.
Technical Specifications
Section titled âTechnical Specificationsâ| Parameter | Value | Unit | Context |
|---|---|---|---|
| Sensor Type | Two NV Centers | N/A | Spectrally resolved, independently controlled. |
| Spatial Resolution | Below diffraction limit | N/A | Probes correlations from nm to ”m lengthscales. |
| Frequency Range | DC to GHz | N/A | Wideband correlation measurement capability. |
| MHz Noise Sensitivity | 15 nT Hz-1/4 | N/A | Achieved via Ramsey-based protocol (Correlated T2). |
| Detectable Noise Strength (MHz) | 4 nT2/Hz | N/A | Measured in 40 minutes total experimental time. |
| Projected Sensitivity (T2, 1 ms sensing) | less than 1 nT2/Hz | N/A | Projected correlated noise detection capability. |
| Readout Noise (RA-SCC) | 3-4 | N/A | ÏR achieved for both NV defects using RA-SCC. |
| Spin Coherence Time (T2) | greater than 1 ms | N/A | Long coherence time enables extended sensing periods. |
| NV Center Depth | ~50 nm | N/A | Below the diamond surface, distribution across ~20 nm. |
| Diamond Material | Electronic Grade CVD | N/A | 12C isotopically enriched (Element Six). |
| 14N Implantation Dose | 1011 cm-2 | N/A | Used to create NV centers at 25 keV. |
| Annealing Temperature (Step 2) | 1200 °C | N/A | Used to remove divacancies and multi-vacancy centers. |
| Resonant Excitation Wavelength | 637.22 nm | N/A | Provided by actively stabilized External Cavity Diode Lasers (ECDLs). |
Key Methodologies
Section titled âKey Methodologiesâ- Diamond Sample Fabrication: Used electronic grade CVD diamond isotopically enriched in 12C. NV centers were created via 14N ion implantation (25 keV, 1011 cm-2 dose).
- Defect Engineering: A two-step vacuum annealing process (800 °C for 8 hours, then 1200 °C for 2 hours) was used to form NV centers and minimize magnetic noise from defects.
- Surface Preparation: The diamond was cleaned using a triacid mixture (sulfuric:nitric:perchloric 1:1:1) to remove graphitic carbon, resulting in NV centers approximately 50 nm below the surface.
- Optical Setup: Experiments were conducted at ~11 K using a home-built single-path scanning confocal microscope. Individual NV centers were addressed using optical super-resolution based on inhomogeneous optical transitions.
- MW Delivery: Microwave (MW) control pulses and test signals were delivered via a photolithographically defined omega-loop stripline (225 nm Au) fabricated directly on the diamond surface.
- High-Fidelity Readout (RA-SCC): The Resonantly-Assisted Spin-to-Charge Conversion (RA-SCC) protocol was used for low-noise spin readout. This involves selective resonant excitation (637 nm) of the |ms = 0> state, simultaneous high-power 660 nm ionization, and sequential charge readout.
- Correlated T2 Spectroscopy (MHz Range): Used the XY8-N sensing sequence on each NV independently, tuned by interpulse spacing Ï, to probe phase-modulated AC magnetic fields (e.g., 2.5 MHz signal with 25 kHz Gaussian noise bandwidth).
- Correlated T1 Spectroscopy (GHz Range): Probed GHz noise by applying amplitude-modulated MW signals (10 MHz bandwidth Gaussian noise) close to the NV transition frequencies (Îi), enabling the study of spin-spin co-relaxation dynamics.
Commercial Applications
Section titled âCommercial Applicationsâ- Quantum Sensing and Metrology: Provides a foundational technique for next-generation quantum sensors, particularly for integration into scanning NV tips and nanopillar arrays, enabling high-resolution magnetic field mapping.
- 2D Materials Research: Essential tool for characterizing correlated dynamics, critical fluctuations, and magnetic order in emerging 2D magnets (e.g., CrCl3) and thin-film superconductors (e.g., Bi2Sr2CaCu2O8+ÎŽ).
- High-Frequency Device Diagnostics: Capable of detecting and imaging high-frequency (GHz) magnetic noise, crucial for understanding dissipation and dynamics in spintronic devices and high-speed electronics.
- Nonlocal Transport Studies: Applicable to investigating nonlocal collective phenomena, such as hydrodynamic electron transport and correlated current fluctuations in materials like graphene.
- Solid-State Qubit Development: The technique for studying correlated dephasing and superradiant dynamics provides insight into managing noise and enhancing coherence in solid-state quantum registers.
View Original Abstract
We experimentally demonstrate a method for measuring correlations of wideband magnetic signals with spatial resolution below the optical diffraction limit. Our technique employs two nitrogen-vacancy (NV) centers in diamond as nanoscale magnetometers, spectrally resolved by inhomogeneous optical transitions. Using high-fidelity optical readout and long spin coherence time, we probe correlated megahertz-range noise with sensitivity of 15 nTHz^{-1/4}. In addition, we use this system for correlated T_{1} relaxometry, enabling correlation measurements of gigahertz-range noise. Under such externally applied noise, while individual NV centers exhibit featureless relaxation, their correlation displays rich coherent and incoherent dynamics reminiscent of superradiance physics. This capability to probe high-frequency correlations provides a powerful tool for investigating a variety of condensed-matter phenomena characterized by nonlocal correlations.
Tech Support
Section titled âTech SupportâOriginal Source
Section titled âOriginal SourceâReferences
Section titled âReferencesâ- 1997 - Quantum Optics [Crossref]
- 2004 - Introduction to Superconductivity