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Orbital and Spin Dynamics of Single Neutrally-Charged Nitrogen-Vacancy Centers in Diamond

MetadataDetails
Publication Date2020-11-04
JournalPhysical Review Letters
AuthorsSimon Baier, C. E. Bradley, Thomas Middelburg, V. V. Dobrovitski, T. H. Taminiau
InstitutionsQuTech, Delft University of Technology
Citations27
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Technical Documentation & Analysis: Orbital and Spin Dynamics of Single Neutrally-Charged Nitrogen-Vacancy Centers in Diamond

Section titled “Technical Documentation & Analysis: Orbital and Spin Dynamics of Single Neutrally-Charged Nitrogen-Vacancy Centers in Diamond”

This document analyzes the requirements and findings of the research paper on NV$^0$ dynamics, aligning them with the advanced material capabilities offered by 6CCVD (6ccvd.com).


The research successfully characterized the dynamic timescales of the neutral Nitrogen-Vacancy (NV$^0$) center in high-purity CVD diamond, establishing NV$^0$ as a powerful candidate for quantum information and sensing applications.

  • High-Fidelity Quantum Control: Achieved single-shot readout fidelity (FRO) of $\ge 98.2(9)%$ and state preparation fidelity of $99 \pm 10%$ for the NV$^0$ spin state.
  • Critical Timescale Measurement: Directly measured the orbital relaxation time ($\tau_{orbit} = 0.43(6)$ ”s at 4.65 K) and established a lower bound for the spin relaxation time ($\tau_{spin} = 1.51(1)$ s).
  • Novel Protocol Implementation: Developed and utilized a Charge-Resonance (CR) protocol for heralded, high-fidelity preparation of the NV$^0$ state.
  • Material Requirement Validation: Confirmed that high-quality, low-strain Type-IIa CVD diamond is essential for minimizing spectral diffusion and enabling precise resonant optical control.
  • Future Applications: The findings support the use of NV$^0$ for protecting nuclear spin quantum memories from dephasing, crucial for scalable quantum technologies.

The following hard data points were extracted from the experimental results, defining the performance metrics achieved using high-quality diamond substrates.

ParameterValueUnitContext
Base Cryogenic Temperature4.65(3)KExperimental operating temperature
Orbital Relaxation Time ($\tau_{orbit}$)0.43(6)”sMeasured at 4.65 K
Spin Relaxation Time ($\tau_{spin}$)1.51(1)sLower bound for T1 process
Excited State Lifetime ($\tau_{exc}$)22(1)nsNV$^0$ fluorescence decay
Single-Shot Readout Fidelity (FRO)$\ge 98.2(9)$%Achieved using single yellow laser
NV$^0$ ZPL Wavelength575.17nmResonant optical excitation
NV$^-$ ZPL Wavelength637.25nmResonant optical readout (RO)
Applied Magnetic Field ($B_z$)1890(5)GAlong the NV symmetry axis
Spectral-Diffusion-Limited Linewidth30.3(3)MHzFactor of 4 above the transform limit
Saturation Power ($P_{sat}$)1.8(1)nWFor H polarization

The experiment relied on precise material selection, cryogenic control, and advanced optical/microwave integration.

  1. Material Selection: Single Nitrogen-Vacancy (NV) centers were studied in Type-IIa bulk diamond, grown via MPCVD, with a <111> orientation.
  2. Optical Enhancement: Enhanced photon collection efficiency was achieved using fabricated solid immersion lenses (SILs) and anti-reflection coatings.
  3. Cryogenic Operation: Experiments were conducted in a Montana Cryostation at 4.65 K to suppress orbital dynamics and minimize thermal noise.
  4. Magnetic Field Application: A permanent magnet provided a strong magnetic field ($B_z = 1890$ G) along the NV axis to lift spin degeneracy.
  5. Microwave (MW) Control: MW pulses were delivered via custom gold strip lines fabricated directly on the diamond surface, enabling coherent spin addressing.
  6. Charge-Resonance (CR) Protocol: A three-step protocol (NV$^-$ check, ionize, NV$^0$ check) using sequential green (12 ”W), red (1 nW RO / 3 nW SP), and yellow (5 nW / 25 nW) laser pulses was implemented for high-fidelity state preparation.
  7. Spectroscopy: Time-resolved pump-probe spectroscopy was used to measure recovery rates ($R_{recovery}$) as a function of temperature (4.65 K to 11.5 K), revealing single-phonon and two-phonon Orbach processes.

Replicating and extending this high-level quantum research requires diamond substrates with exceptional purity, precise orientation, and integrated control structures. 6CCVD is uniquely positioned to supply the necessary materials and fabrication services.

Requirement from Research Paper6CCVD Solution & CapabilityTechnical Advantage
Material: High-purity, low-strain Type-IIa CVD Diamond (<111> orientation).Optical Grade Single Crystal Diamond (SCD): We offer SCD plates up to 500 ”m thick in both <100> and <111> orientations, optimized for minimal nitrogen content and low strain.Ensures long coherence times ($\tau_{spin} = 1.51$ s achieved) and narrow ZPL linewidths, critical for resonant excitation.
Dimensions & Integration: Samples compatible with cryostats and SIL fabrication.Custom Dimensions and Thickness: SCD plates/wafers available up to 125 mm (PCD) and custom laser cutting services for precise dimensions required for confocal microscopy and cryogenic mounts.Provides flexibility for integrating diamond into complex quantum setups, including custom substrates up to 10 mm thick.
MW Control: Gold strip lines fabricated on the diamond surface for Rabi driving.In-House Custom Metalization: We offer deposition of Au, Ti, Pt, Pd, W, and Cu. We can fabricate custom microwave structures (e.g., coplanar waveguides) directly onto the SCD surface.Delivers ready-to-use quantum devices, eliminating the need for external fabrication steps and ensuring high-quality metal-diamond interfaces.
Surface Quality: Minimizing spectral diffusion (30.3 MHz linewidth observed).Ultra-Low Roughness Polishing: SCD surfaces polished to Ra < 1 nm.Essential for reducing surface-induced strain and spectral diffusion, thereby improving the stability and fidelity of single-shot readout (FRO $\ge 98.2%$).
Extension to Sensing: Need for alternative defect centers or doping.Boron-Doped Diamond (BDD) and PCD: We supply BDD for electrochemical sensing applications and high-quality Polycrystalline Diamond (PCD) plates up to 125 mm for large-area thermal or mechanical applications.Allows researchers to pivot to alternative diamond-based quantum defects (SiV, GeV) or scale up successful NV-based sensing prototypes.

The detailed analysis of orbital and spin dynamics in NV$^0$ centers highlights the necessity of highly controlled material properties. 6CCVD’s in-house PhD team specializes in MPCVD growth recipes and defect engineering. We can assist researchers in selecting the optimal material specifications (orientation, purity, doping level) required to replicate or extend these NV-based quantum memory and sensing projects.

For custom specifications or material consultation, visit 6ccvd.com or contact our engineering team directly.

View Original Abstract

The neutral charge state plays an important role in quantum information and sensing applications based on nitrogen-vacancy centers. However, the orbital and spin dynamics remain unexplored. Here, we use resonant excitation of single centers to directly reveal the fine structure, enabling selective addressing of spin-orbit states. Through pump-probe experiments, we find the orbital relaxation time (430 ns at 4.7 K) and measure its temperature dependence up to 11.8 K. Finally, we reveal the spin relaxation time (1.5 s) and realize projective high-fidelity single-shot readout of the spin state (≄98%).