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Cavity-enhanced microwave readout of a solid-state spin sensor

MetadataDetails
Publication Date2021-03-01
JournalNature Communications
AuthorsErik R. Eisenach, John F. Barry, Michael O’Keeffe, Jennifer M. Schloss, Matthew Steinecker
InstitutionsMIT Lincoln Laboratory, Massachusetts Institute of Technology
Citations53
AnalysisFull AI Review Included

This research demonstrates a high-fidelity, room-temperature microwave (MW) readout technique for solid-state spin sensors, overcoming the limitations of conventional optical fluorescence methods.

  • Core Innovation: Achieved high-fidelity readout of Nitrogen-Vacancy (NV) center ensembles by strongly coupling the spins to a dielectric microwave cavity (Cavity-Enhanced MW Readout).
  • Fidelity Improvement: Realized near-unity readout contrast (C = 0.97), significantly surpassing the 0.05 contrast achieved by simultaneous conventional Optically Detected Magnetic Resonance (ODMR).
  • Noise Mitigation: The technique circumvents the optical photon shot noise limitations inherent to fluorescence readout, paving a path toward the spin-projection noise limit.
  • Performance Metrics: Demonstrated a projected magnetic sensitivity of approximately 3 pT/sqrt(Hz) in the 5 kHz to 10 kHz band, approaching the calculated Johnson-Nyquist noise limit (0.5 pT/sqrt(Hz)).
  • Cavity-Mediated Narrowing: The magnetic resonance feature linewidth was narrowed by a factor of ~2 (4 MHz FWHM) compared to conventional ODMR (8.5 MHz FWHM), improving localization precision.
  • Scalability: The measurement Signal-to-Noise Ratio (SNR) scales linearly with the number of polarized spins (N), enabling improved sensitivity through increased ensemble size or cavity quality factor (Q).
ParameterValueUnitContext
Diamond Volume25mm3Natural, brilliant-cut sample.
NV- Density5 ± 2.5ppmEstimated concentration.
Total NV- Number (Ntot)2 ± 1 x 1016spinsTotal number of NV centers.
Zero-Field Splitting (D)2.87GHzNV ground-state splitting.
Unloaded Cavity Q-Factor (Q0)22,000DimensionlessComposite MW cavity.
Bare Cavity Resonance (ωc)2π x 2.901GHzFrequency of the composite diamond-resonator cavity.
Loaded Cavity Linewidth (Îș)2π x 200kHzUsed for strong coupling measurements (under-coupled).
Collective Coupling Strength (2geff)2π x 1.4MHzExtracted from strong coupling fit.
ODMR FWHM Linewidth8.5MHzConventional optical readout linewidth.
MW Readout FWHM Linewidth4MHzCavity-mediated narrowed linewidth.
Readout Contrast (C)0.97DimensionlessMW cavity readout (limited by circulator isolation).
ODMR Contrast (C)0.05DimensionlessConventional optical readout.
Optimal MW Drive Power10dBmEmpirically determined for maximum sensitivity.
Projected Sensitivity3.2pT/sqrt(Hz)Measured in the 5 kHz to 10 kHz band.
Johnson-Nyquist Noise Limit0.5pT/sqrt(Hz)Calculated thermal noise limit for the system.
Optical Pumping Power12W532 nm laser excitation.
Static Bias Magnetic Field (Bperm)19.2GApplied along the diamond’s (100) axis.
Inhomogeneous Dephasing Time (T2*)40nsMeasured for the natural diamond sample.

The experimental methodology leverages strong collective coupling between the NV spin ensemble and a dielectric microwave resonator, utilizing phase-sensitive detection of reflected MWs.

  1. Sample Preparation: A natural, brilliant-cut diamond (25 mm3) was HPHT-processed and irradiated to create NV centers, resulting in an estimated [NV-] density of 5 ± 2.5 ppm.
  2. Cavity Construction: The diamond was affixed to a silicon carbide (SiC) wafer and placed coaxially between two cylindrical dielectric resonators (Δr ≈ 34) inside an aluminum shield. This composite structure yielded an unloaded quality factor Q0 ≈ 22,000.
  3. Spin Initialization: NV centers were continuously polarized into the ms = 0 ground state sublevel using 12 W of 532 nm optical excitation (optical pumping).
  4. Magnetic Field Application: A permanent magnet applied a static bias field (Bperm = 19.2 G) along the diamond’s (100) axis. A tunable test coil allowed for small variations in the total bias field (B0) to tune the spin resonance frequency (ωs).
  5. MW Interrogation: Microwaves (MWs) near-resonant with both the cavity (ωc) and the spin transition (ωs) were split into a signal component (interrogating the cavity via a circulator) and a reference component.
  6. Phase-Sensitive Readout: Reflected MWs were amplified and mixed with the reference component using an IQ mixer. The phase of the reference component was adjusted to isolate the dispersive (Im[Γ]) component in the quadrature (Q) channel, which is proportional to the spin-cavity detuning (ωc - ωs).
  7. Magnetometry Calibration: Sensitivity was calibrated by monitoring the Q channel response to a known 1 ”T (RMS) test magnetic field applied at 10 Hz. The optimal MW drive power (10 dBm) was empirically determined to balance Johnson noise reduction against power broadening effects.

The Cavity-Enhanced MW Readout technique significantly enhances the viability of solid-state spin sensors in several high-impact fields:

  • Quantum Sensing:
    • Magnetometry: Enables high-sensitivity, broadband magnetometers (approaching 3 pT/sqrt(Hz)) for applications like Magnetocardiography (MCG) and Magnetoencephalography (MEG).
    • Electric Field Sensing: Provides a path for robust and accurate electric field sensing using solid-state spin ensembles.
  • Quantum Information and Computing:
    • High-Fidelity Readout: Offers a universal, high-fidelity readout technique crucial for scaling up quantum devices based on solid-state spin defects (e.g., NV, divacancy, or silicon-vacancy centers in SiC).
    • Quantum Memories: Relevant for developing long-lived solid-state quantum memories by coupling ensembles to cavities.
  • Fundamental Physics:
    • Precision Tests: Applicable in precision tests of fundamental physics and precision frequency generation, leveraging the enhanced coupling and narrow linewidth features.
  • Electron Paramagnetic Resonance (EPR):
    • Quantitative EPR: Provides a highly sensitive method for quantitative EPR spectroscopy, relevant for biological, medical, and industrial applications.