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Superradiance of Spin Defects in Silicon Carbide for Maser Applications

MetadataDetails
Publication Date2022-05-16
JournalFrontiers in Photonics
AuthorsAndreas Gottscholl, Maximilian Wagenhöfer, Manuel Klimmer, Selina Scherbel, Christian Kasper
InstitutionsUniversity of WĂŒrzburg, Helmholtz-Zentrum Dresden-Rossendorf
Citations9
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Technical Analysis and Documentation: Superradiance of Spin Defects in Silicon Carbide for Maser Applications

Section titled “Technical Analysis and Documentation: Superradiance of Spin Defects in Silicon Carbide for Maser Applications”

Reference: Gottscholl et al. (2022). Superradiance of Spin Defects in Silicon Carbide for Maser Applications. Front. Photonics 3:886354.


This research successfully demonstrates superradiant stimulated microwave emission using silicon vacancy (VSi) defects in 4H Silicon Carbide (SiC), paving the way for a new generation of solid-state masers.

  • Core Achievement: Superradiance was achieved in the V2 spin defect (S = 3/2) ensemble in SiC, fulfilling the prerequisites for stimulated emission in the 10 GHz range.
  • Population Inversion Optimization: Spin polarization was maximized by optimizing three key parameters: resonant optical pumping (916.5 nm at 50 K), optimal crystal orientation (magnetic field B parallel to the crystal c-axis, B || ĉ), and high-Q resonator integration.
  • Resonant Pumping Efficiency: Resonant excitation at the Zero-Phonon Line (ZPL) at 50 K increased the population inversion factor by a factor of 5 compared to non-resonant pumping.
  • High-Q Resonator Performance: A sapphire resonator achieved Q-factors between 40,000 and 110,000 at 110 K, significantly enhancing the spin-photon interaction.
  • Superradiance Confirmation: The onset of superradiance was confirmed by a superlinear dependence of microwave emission intensity on the number of involved spins (NÂČ law) and a spectral narrowing (collapse) of the EPR linewidth by a factor of 0.5.
  • Maser Threshold Proximity: The results indicate that the SiC-based quantum system is approaching the maser threshold, offering a potential alternative to diamond NV centers.

ParameterValueUnitContext
Spin Defect TypeSilicon Vacancy (VSi) V2N/ASpin Quartet (S = 3/2) in 4H SiC
Target Microwave Frequency≈9.3GHzResonant frequency for stimulated emission
Resonator Quality Factor (Q)40,000 - 110,000DimensionlessAchieved using sapphire resonator at 110 K
Optimal Excitation Wavelength (ZPL)916.5nmResonant optical pumping at low temperature (50 K)
Standard Stokes Excitation808nmUsed for higher temperature operation
Optimal Operating Temperature (Resonant)50KRequired for ZPL detection and high spin polarization
High-Q Measurement Temperature110KUsed to reduce ohmic losses in copper cavity
Optimal Magnetic Field OrientationBĉ
Maximum Defect Density (Sample 2)2.27 * 1015cm-3Used for superradiance demonstration
EPR Linewidth Collapse0.5FactorReduction in B+ transition linewidth (sign of superradiance)
Population Inversion Enhancement5FactorAchieved via resonant ZPL excitation

The realization of superradiant stimulated emission relied on precise material preparation and optimized quantum control techniques:

  1. Defect Generation: Silicon Vacancy (VSi) defects were created in 4H SiC wafers via 2 MeV electron irradiation at high fluences (3-10 * 1017 cm-2).
  2. EPR Spectroscopy: Electron Paramagnetic Resonance (EPR) was the primary tool, utilizing both self-built high-Q spectrometers and commercial systems (Bruker E300, Magnettech ESR5000) to monitor population differences ($\Delta\rho$) and linewidths.
  3. Resonator Design: A high-Q cylindrical dielectric sapphire resonator was integrated into a copper cavity. The Q-factor was tuned by cooling the system (to 110 K) and adjusting the coupling loop depth.
  4. Wavelength Optimization: Optical pumping efficiency was maximized by tuning the excitation laser wavelength to the V2 defect’s Zero-Phonon Line (ZPL) at 916.5 nm, effective only at temperatures below 100 K.
  5. Orientation Optimization: The external static magnetic field (B) was aligned parallel to the SiC crystal c-axis (B || ĉ) using a motorized goniometer to maximize the angular-dependent spin polarization.
  6. Superradiance Analysis: Superradiance was confirmed by analyzing the intensity ratio of the central EPR peak (V2 centers with spin-less 28Si/30Si neighbors) versus the hyperfine satellite peaks (V2 centers interacting with spin-bearing 29Si), demonstrating the superlinear NÂČ dependence.

The research highlights the critical need for high-quality, defect-engineered host materials and precision fabrication for quantum microwave applications. While SiC is a viable host, 6CCVD specializes in MPCVD Diamond, the established material for continuous-wave, room-temperature masers (NV centers). We provide the necessary materials and customization to replicate, extend, or surpass the performance demonstrated in this SiC study.

Requirement from Paper6CCVD Solution & Value PropositionApplicable Materials
High-Quality Spin Host MaterialThe paper seeks a technologically mature material for masers. 6CCVD offers Optical Grade Single Crystal Diamond (SCD), which hosts the Nitrogen Vacancy (NV) center—the proven platform for continuous-wave, room-temperature masers. SCD offers significantly longer spin coherence times (T2) than SiC VSi, directly lowering the maser threshold.Single Crystal Diamond (SCD)
Custom Sample Dimensions & StacksThe study used specific small samples (5.9 mmÂł) and stacks (34.3 mmÂł). 6CCVD provides custom laser cutting and shaping of SCD and PCD plates up to 125mm in diameter, ensuring perfect integration into specialized high-Q resonator geometries.SCD, Polycrystalline Diamond (PCD)
Precise Defect Density Control (N)The superradiance effect relies on controlling the spin ensemble size (N). 6CCVD offers tailored nitrogen incorporation during MPCVD growth to achieve precise NV/N concentrations in SCD, enabling fine-tuning of N for optimal superradiant emission.SCD (N-doped)
Ultra-Low Surface RoughnessHigh-Q resonators demand minimal surface losses. 6CCVD guarantees industry-leading polishing (Ra < 1 nm for SCD, Ra < 5 nm for inch-size PCD), minimizing scattering and maximizing coupling efficiency within the microwave cavity.SCD (Optical Grade)
Integrated Microwave StructuresFuture maser devices require integrated contacts and waveguides. 6CCVD provides in-house custom metalization services (Au, Pt, Pd, Ti, W, Cu) for patterning electrodes or microwave transmission lines directly onto the diamond surface.SCD, PCD, Boron-Doped Diamond (BDD)
Engineering Support for Quantum ProjectsThe complexity of optimizing orientation, Q-factor, and defect density requires expert knowledge. 6CCVD’s in-house PhD team can assist with material selection and specification for similar solid-state maser and quantum sensing projects.All Materials

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

View Original Abstract

Masers as telecommunication amplifiers have been known for decades, yet their application is strongly limited due to extreme operating conditions requiring vacuum techniques and cryogenic temperatures. Recently, a new generation of masers has been invented based on optically pumped spin states in pentacene and diamond. In this study, we pave the way for masers based on spin S = 3/2 silicon vacancy (V Si ) defects in silicon carbide (SiC) to overcome the microwave generation threshold and discuss the advantages of this highly developed spin hosting material. To achieve population inversion, we optically pump the V Si into their m S = ±1/2 spin sub-states and additionally tune the Zeeman energy splitting by applying an external magnetic field. In this way, the prerequisites for stimulated emission by means of resonant microwaves in the 10 GHz range are fulfilled. On the way to realising a maser, we were able to systematically solve a series of subtasks that improved the underlying relevant physical parameters of the SiC samples. Among others, we investigated the pump efficiency as a function of the optical excitation wavelength and the angle between the magnetic field and the defect symmetry axis in order to boost the population inversion factor, a key figure of merit for the targeted microwave oscillator. Furthermore, we developed a high-Q sapphire microwave resonator ( Q ≈ 10 4 -10 5 ) with which we find superradiant stimulated microwave emission. In summary, SiC with optimized spin defect density and thus spin relaxation rates is well on its way of becoming a suitable maser gain material with wide-ranging applications.

  1. 2018 - Superradiant Emission from Colour Centres in Diamond [Crossref]
  2. 2021 - Perspective on Room-Temperature Solid-State Masers [Crossref]
  3. 2005 - EPR Identification of the Triplet Ground State and Photoinduced Population Inversion for a Si-C Divacancy in Silicon Carbide [Crossref]
  4. 2001 - Neutral and Negatively Charged Silicon Vacancies in Neutron Irradiated SiC: a High-Field Electron Paramagnetic Resonance Study [Crossref]
  5. 2008 - Measurement of the Fundamental Thermal Noise Limit in a Cryogenic Sapphire Frequency Standard Using Bimodal Maser Oscillations [Crossref]
  6. 2018 - Continuous-wave Room-Temperature Diamond Maser [Crossref]
  7. 2017 - Room-temperature Cavity Quantum Electrodynamics with Strongly Coupled Dicke States [Crossref]
  8. 2015 - Enhanced Magnetic Purcell Effect in Room-Temperature Masers [Crossref]
  9. 2015 - Spin Coherence and Echo Modulation of the Silicon Vacancy in4H−SiCat Room Temperature [Crossref]
  10. 2015 - Influence of Magnetic Field Alignment and Defect Concentration on Nitrogen-Vacancy Polarization in Diamond [Crossref]