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Dispersive readout of room-temperature ensemble spin sensors

MetadataDetails
Publication Date2021-04-22
JournalQuantum Science and Technology
AuthorsJ Ebel, T Joas, M Schalk, P Weinbrenner, A Angerer
Citations13
AnalysisFull AI Review Included

This research demonstrates a critical step toward miniaturized, room-temperature quantum sensors by implementing dispersive (microwave) readout of Nitrogen-Vacancy (NV) spin ensembles in diamond.

  • Core Achievement: Successful demonstration of non-destructive, room-temperature spin readout by measuring the reflection phase (arg(S11)) of a microwave signal coupled to a high-Q dielectric resonator.
  • Integration Advantage: Dispersive readout provides a microwave interface, translating the spin signal into a phase shift, which is significantly easier to miniaturize and integrate than traditional optical readout systems.
  • Performance Tracking: Time-dependent tracking of the spin state was achieved, enabling the measurement of the T1 relaxation time (740 ”s laser off) directly via the microwave phase signal.
  • Sensitivity Potential: Estimates suggest that the high accuracy achievable in phase measurement could allow dispersive readout sensitivity to outperform current optical schemes, potentially reaching the spin projection noise limit.
  • Wider Applicability: The technique is applicable to optically inactive spin defects (e.g., Silicon-Vacancy in Silicon Carbide), broadening the range of solid-state quantum systems that can be utilized.
  • Systematic Error Mitigation: As the readout is non-destructive and insensitive to spin-inactive centers (like NV0), it avoids several systematic errors inherent to fluorescence-based optical methods.
ParameterValueUnitContext
Operating TemperatureRoomN/AExperimental environment (293 K approx.).
Resonator Quality Factor (Q)6.0(1) · 103N/AMeasured Q factor of the stacked dielectric resonator.
Resonator MaterialCeramicN/ALow-loss, high-permittivity dielectric material.
Resonator Dimensions (Stack)16.8 (D) x 11.2 (H)mmStack of two cylindrical dielectric resonators.
Microwave Frequency (f)2.90 - 2.94GHzRange used for spin spectroscopy near NV zero-field splitting.
T1 Relaxation Time (Laser Off)740(10)”sMeasured spin decay time constant.
T1 Polarization Time (Laser On)427(5)”sMeasured spin buildup time constant under 532 nm laser.
Laser Wavelength532nmUsed for NV spin initialization and optical readout.
Laser Power300mWUsed for NV spin initialization.
Maximum Measured Phase ShiftUp to 2mradObserved reflection phase shift during spin polarization.
Optimized Q Factor (Target)104N/ATarget Q for optimized device performance.
Optimized Spin Count (Target N)1014N/ATarget NV ensemble size for strong coupling regime.
Optimized Phase Shift (Target)3radProjected maximum dispersive shift (Eq. 4).

The experiment relies on coupling the NV spin ensemble to a high-Q dielectric resonator and measuring the resulting shift in the microwave reflection phase.

  1. NV Center Preparation: A 100-oriented Type Ib diamond, densely doped with NV centers, was prepared via electron irradiation and subsequent annealing.
  2. Resonator Construction: The cavity was formed by a stack of two cylindrical dielectric resonators (ceramic). Stacking was used to homogenize coupling and tune the resonance frequency close to the NV zero-field splitting (approx. 2.87 GHz).
  3. Spin Initialization: A strong 532 nm laser (300 mW) was used to optically polarize the NV spins into their ground state.
  4. Microwave Coupling: The resonator was housed in a shielded enclosure and probed in a single-sided reflection geometry, magnetically coupled via a tuneable coupling loop.
  5. Dispersive Readout System: A microwave interferometer setup was used for homodyne detection. The reflection phase (arg(S11)) of the microwave signal was measured using a circulator, mixer, and digitizer, serving as the primary readout signal.
  6. Time-Dependent Measurement: The polarization laser was modulated using a mechanical chopper wheel (2 ms bright/dark cycles). This modulation allowed the tracking of spin polarization buildup (Laser On) and T1 relaxation (Laser Off) via the corresponding changes in the dispersive phase shift.
  7. Magnetic Field Control: A tuneable magnetic field was applied along the 001 direction using a moveable permanent magnet to vary the detuning (Δ) between the spin and cavity frequencies.
  8. Sensitivity Enhancement (Proposed): For optimized performance, lock-in schemes are proposed, where the spin state is periodically modulated (e.g., via T1 decay or control pulses) to shift the signal frequency above low-frequency noise sources (like thermal drift).

This technology addresses key limitations in current quantum sensor development, particularly regarding integration and versatility.

  • Integrated Quantum Sensors: Enables the development of compact, solid-state magnetometers and gyroscopes based on NV ensembles, suitable for deployment in harsh or space environments where bulky optics are impractical.
  • Quantum Feedback Systems: The non-destructive nature of dispersive readout is essential for implementing real-time quantum feedback and control schemes (e.g., quantum error correction or continuous weak measurement).
  • Advanced EPR/NMR Spectroscopy: Provides a highly sensitive, room-temperature microwave interface for detecting electron paramagnetic resonance (EPR) signals, potentially improving the sensitivity of chemical analysis tools.
  • Optically Dark Qubits: Opens the door for utilizing promising solid-state spin qubits that lack efficient optical readout mechanisms (e.g., Silicon-Vacancy centers in Silicon Carbide or other optically inactive defects).
  • High-Q Microwave Components: The use of low-loss, high-permittivity dielectric resonators (Q ≈ 104) demonstrates robust room-temperature microwave technology applicable to filters, oscillators, and signal processing in high-frequency electronics.
View Original Abstract

Abstract We demonstrate dispersive readout of the spin of an ensemble of nitrogen-vacancy centers in a high-quality dielectric microwave resonator at room temperature. The spin state is inferred from the reflection phase of a microwave signal probing the resonator. Time-dependent tracking of the spin state is demonstrated, and is employed to measure the T 1 relaxation time of the spin ensemble. Dispersive readout provides a microwave interface to solid state spins, translating a spin signal into a microwave phase shift. We estimate that its sensitivity can outperform optical readout schemes, owing to the high accuracy achievable in a measurement of phase. The scheme is moreover applicable to optically inactive spin defects and it is non-destructive, which renders it insensitive to several systematic errors of optical readout and enables the use of quantum feedback.