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Coherent control of NV− centers in diamond in a quantum teaching lab

MetadataDetails
Publication Date2020-11-19
JournalAmerican Journal of Physics
AuthorsVikas K. Sewani, Hyma H. Vallabhapurapu, Yang Yang, Hannes R. Firgau, Chris Adambukulam
InstitutionsUNSW Sydney, Centre for Quantum Computation and Communication Technology
Citations32
AnalysisFull AI Review Included
  • Low-Cost Quantum Platform: A cost-effective experimental setup (less than USD 20k) was developed for demonstrating coherent spin control using Nitrogen-Vacancy (NV-) centers in diamond, specifically designed for undergraduate teaching laboratories.
  • Room-Temperature Operation: The system operates robustly at room temperature in ambient atmosphere, eliminating the need for complex cryogenic or high-vacuum environments typical of advanced quantum research.
  • Coherent Control Demonstrated: The setup successfully implemented key quantum control protocols, including Optically Detected Magnetic Resonance (ODMR), Rabi oscillations (ΩR = 2.69 MHz), and dynamical decoupling sequences (Hahn echo, CPMG).
  • Key Coherence Metrics: Measured longitudinal relaxation time (T1) was 1.64 ± 0.25 ms, while the free precession coherence time (T2) via Hahn echo was 1.2 ± 0.2 µs.
  • Pulsed Sequence Engineering: The system uses a Pulse Blaster and I/Q modulation to generate precise nanosecond-scale microwave (MW) pulses (e.g., π/2 pulse = 72 ns) necessary for two-axis control on the Bloch sphere.
  • High-Density Sample Use: Utilizing a high-density NV- diamond sample ensures a large signal-to-noise ratio, making the measurements insensitive to minor misalignment and high ambient light levels.
ParameterValueUnitContext
Total Setup Costless than 20kUSDExcluding PC and standard lab equipment
Operating TemperatureRoom Temperature°CAmbient atmosphere
NV Zero-Field Splitting (D)2.87GHzGround state
Excitation Wavelength520nmGreen laser diode
Zero-Phonon Line (ZPL)637nmNV- emission wavelength
Objective Numerical Aperture0.80NAOlympus MS Plan 50x
Laser Focal Spot Size~1µmExcitation volume
MW Antenna Resonance (Measured)~2.49GHzPCB loop-gap resonator
Maximum MW Power+24 (251)dBm (mW)Input to antenna
Maximum B1 Field (Simulated)306µTOscillating magnetic field at NV center
Rabi Frequency (ΩR)2.69 ± 0.02MHzCoherent spin rotation rate
Rabi Coherence Time (TRabi)1.12 ± 0.14µsDriven coherence time
Longitudinal Relaxation Time (T1)1.64 ± 0.25msSpin decay time
Hahn Echo Coherence Time (T2)1.2 ± 0.2µsFree precession coherence time
π/2 Pulse Length72nsCalibrated pulse duration
π Pulse Length144nsCalibrated pulse duration
Electron Irradiation Density1018electrons/cm2HPHT diamond processing
Annealing Temperature900°CPost-irradiation treatment (in vacuum)
  1. Diamond Sample Preparation:
    • Used a Type 1b (111)-oriented high-pressure, high-temperature (HPHT) diamond.
    • Irradiated the diamond with 1018 electrons/cm2 density.
    • Annealed the sample in vacuum at 900 °C for 2 hours to activate the NV- centers.
  2. Optical Setup and Alignment:
    • A 520 nm fiber-coupled green laser diode was focused onto the diamond sample using a 50x/0.80NA objective lens, achieving a ~1 µm focal spot.
    • Photoluminescence (PL) emission was collected through the same objective, filtered (600 nm long pass, 900 nm short pass) to isolate the NV- signal, and directed to a photodiode via a multi-mode fiber.
  3. Spin Initialization and Readout:
    • Continuous 520 nm laser excitation initialized the NV spins into the 0>g state.
    • Readout relied on the spin-dependent PL contrast, where the 0>g state emits approximately 30% more photons than the ±1>g states.
  4. Microwave (MW) Control System:
    • A SignalCore SC800 MW source fed into a Texas Instruments I/Q modulator, controlled by TTL pulses from a Pulse Blaster.
    • The modulated MW signal was amplified to +24 dBm and delivered to the NV centers via a custom PCB loop-gap resonator antenna (resonant at ~2.49 GHz).
  5. Pulsed Sequence Generation:
    • A SpinCore Pulse Blaster ESR Pro 250 was programmed via Matlab to generate precise TTL sequences (down to nanosecond resolution) for controlling the laser (CH1) and the I/Q modulator (CH2, CH3).
    • I/Q modulation allowed for phase control (e.g., 0°, 90°, 45°) necessary for X- and Y-axis rotations on the Bloch sphere.
  6. Signal Acquisition:
    • A dual-phase lock-in amplifier (Ametek 5210) was used for phase-sensitive detection of the photodiode signal, synchronized to a reference frequency (CH0) provided by the Pulse Blaster, enabling high signal-to-noise ratio extraction of the low-contrast spin signal.
  • Quantum Sensing and Metrology: NV- centers are leading solid-state quantum sensors used for high-resolution magnetic field detection, electric field sensing, and temperature measurement at the nanoscale.
  • Biomedical Imaging: Applications in magnetic resonance imaging (MRI) and nuclear magnetic resonance (NMR) spectroscopy, particularly for nanoscale sensing in biological systems (e.g., measuring spin dynamics in single cells).
  • Quantum Information Processing: The NV spin system serves as a robust, room-temperature solid-state qubit, foundational for developing quantum computing architectures and quantum communication technologies.
  • Materials Characterization: The ODMR and coherence measurement techniques are critical for benchmarking and characterizing the quality and noise environment of other emerging quantum materials, such as silicon qubits and superconducting qubits.
  • Advanced Educational Tools: The setup itself is a commercializable platform for university-level quantum engineering education, providing hands-on experience with fundamental quantum control concepts.
View Original Abstract

The room temperature compatibility of the negatively charged nitrogen-vacancy (NV−) center in diamond makes it the ideal quantum system for a university teaching lab. Here, we describe a low-cost experimental setup for coherent control experiments on the electronic spin state of the NV− center. We implement spin-relaxation measurements, optically detected magnetic resonance, Rabi oscillations, and dynamical decoupling sequences on an ensemble of NV− centers. The relatively short times required to perform each of these experiments (<10 min) demonstrate the feasibility of the setup in a teaching lab. Learning outcomes include basic understanding of quantum spin systems, magnetic resonance, the rotating frame, Bloch spheres, and pulse sequence development.

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