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Triple-Tone Microwave Control for Sensitivity Optimization in Compact Ensemble Nitrogen-Vacancy Magnetometers

MetadataDetails
Publication Date2025-10-28
AuthorsAnkita Chakravarty, Romain Ruhlmann, Vincent Halde, David Roy-Guay, Michel Pioro-Ladrière
AnalysisFull AI Review Included
  • Core Value Proposition: Triple-tone microwave (MW) control is demonstrated as a practical strategy to mitigate the threefold sensitivity loss inherent in 14N Nitrogen-Vacancy (NV) ensemble magnetometers due to hyperfine splitting.
  • Pulsed ODMR Enhancement: For Pulsed Optically Detected Magnetic Resonance (ODMR), triple-tone driving achieved up to a factor of three enhancement in signal slope, making it highly effective for samples exhibiting long coherence (low-dephasing regime).
  • Ramsey Interferometry Trade-Offs: In Ramsey interferometry, triple-tone excitation only provided a sensitivity advantage when the MW power was limited (low Rabi frequency regime).
  • High Power Regime: When high MW power is accessible, single-tone Ramsey protocols become highly sensitive and reliable, often matching or exceeding triple-tone performance, despite the resulting complex signal interference.
  • Implementation: The technique requires no additional optical or RF hardware, relying solely on frequency modulation via IQ mixing, making it ideal for compact, field-deployable quantum sensors (e.g., the SBQuantum Quantum Demonstrator platform).
  • Guidance for Engineers: The results delineate specific operating regimes, clarifying that triple-tone control is most beneficial for ODMR or power-limited Ramsey applications, while high-power single-tone is preferred otherwise.
ParameterValueUnitContext
Zero-Field Splitting (D)2.87GHzNV ground state Hamiltonian
14N Hyperfine Splitting (A||)2.16MHzSeparation between spin transitions
Diamond Sample TypeDNV-B1 (Element Six)N/ASingle-crystal diamond
Sample Dimensions1 x 1 x 0.5mm3Volume of the diamond sample
NV Concentration300ppbNitrogen-Vacancy ensemble density
T2 Coherence Time1µsMeasured coherence time of the sample
Laser Excitation Wavelength520nmGreen laser used for optical initialization
Intermediate Frequency (fIF)100MHzUsed in IQ mixer for MW generation
ODMR Slope Ratio (Triple/Single)2.93 ± 0.09N/AExperimental sensitivity ratio (Slope metric)
ODMR Slope/sqrt(T) Ratio2.28 ± 0.05N/AExperimental sensitivity ratio (Slope/sqrt(T) metric)
Ramsey Revival Time463nsCorresponds to 1/A||
  1. Integrated System Deployment: The experiment utilized a fully integrated NV magnetometry system (Quantum Demonstrator, SBQuantum) housing the diamond sample, a 520 nm laser, and a dual-post re-entrant microwave cavity, ensuring a compact footprint.
  2. MW Pulse Synthesis: Microwave pulses were generated using a Keysight PXIe chassis containing an Arbitrary Waveform Generator (AWG) and a high-speed digitizer. The AWG produced in-phase (I) and quadrature (Q) signals at a 100 MHz Intermediate Frequency (fIF).
  3. Frequency Upconversion: The I/Q signals were mixed with a Local Oscillator (LO) using an IQ mixer to generate the final amplified MW drive signal (fMW).
  4. Triple-Tone Control Implementation: Triple-tone excitation was achieved by programming the AWG to output three simultaneous tones separated by the 14N hyperfine splitting (2.16 MHz), without requiring external RF hardware.
  5. Pulsed ODMR Measurement: The protocol involved optical initialization, followed by a resonant π-pulse (single or triple-tone), and subsequent optical readout via fluorescence detection. Sensitivity was determined by fitting the ODMR spectra and extracting the maximum signal slope (dC/dv).
  6. Ramsey Interferometry Measurement: The sequence consisted of two π/2 pulses separated by a free evolution time (τ). The second pulse was phase-shifted by π/2. Triple-tone pulses were applied such that each tone received a π/2 phase shift in the second pulse.
  7. Numerical Modeling and Optimization: Experimental data was validated against a Lindblad master equation model for an effective spin-1/2 system. This model was used to simulate sensitivity landscapes across various Rabi frequencies and dephasing rates (γ), optimizing sensitivity metrics (slope and slope/sqrt(T)) for both single- and triple-tone protocols.
  • Portable Quantum Sensing: Direct application in compact, power-limited NV magnetometers designed for field use, where maximizing sensitivity without increasing hardware complexity is critical.
  • High-Sensitivity DC Magnetometry: Enhancing the signal-to-noise ratio in NV ensemble sensors used for detecting static magnetic fields in applications like wide-field imaging.
  • Geophysical Surveying: Improving the performance of quantum diamond microscopes used for micrometer-scale magnetic imaging of geological samples.
  • Biomedical Diagnostics: Applicable in systems requiring high-sensitivity magnetic field detection under ambient conditions, such as magnetocardiography or nanoscale sensing in biological environments.
  • Quantum Control Systems: The demonstrated multi-frequency control techniques provide a robust, hardware-efficient method for coherent spin manipulation, relevant for optimizing pulse sequences in general quantum computing or sensing platforms utilizing solid-state defects.
View Original Abstract

Ensembles of nitrogen-vacancy (NV) centers in diamond are a well-established platform for quantum magnetometry under ambient conditions. One challenge arises from the hyperfine structure of the NV, which, for the common $^{14}$N isotope, results in a threefold reduction of contrast and thus sensitivity. By addressing each of the NV hyperfine transitions individually, triple-tone microwave (MW) control can mitigate this sensitivity loss. Here, we experimentally and theoretically investigate the regimes in which triple-tone excitation offers an advantage over standard single-tone MW control for two DC magnetometry protocols: pulsed optically detected magnetic resonance (ODMR) and Ramsey interferometry. We validate a master equation model of the NV dynamics against ensemble NV measurements, and use the model to explore triple-tone vs single-tone sensitivity for different MW powers and NV dephasing rates. For pulsed ODMR, triple-tone driving improves sensitivity by up to a factor of three in the low-dephasing regime, with diminishing gains when dephasing rates approach the hyperfine splitting. In contrast, for Ramsey interferometry, triple-tone excitation only improves sensitivity if MW power is limited. Our results delineate the operating regimes where triple-tone control provides a practical strategy for enhancing NV ensemble magnetometry in portable and power-limited sensors.