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Tunable Amplification and Cooling of a Diamond Resonator with a Microscope

MetadataDetails
Publication Date2021-07-27
JournalPhysical Review Applied
AuthorsHarishankar Jayakumar, Behzad Khanaliloo, David P. Lake, Paul E. Barclay
InstitutionsUniversity of Calgary
Citations4
AnalysisFull AI Review Included

Technical Documentation & Analysis: Tunable Optomechanical Control in Diamond Nanoresonators

Section titled “Technical Documentation & Analysis: Tunable Optomechanical Control in Diamond Nanoresonators”

This research demonstrates a novel, cavity-free method for achieving tunable optomechanical damping and amplification in a single-crystal diamond (SCD) nanoresonator, leveraging photothermal back action controlled by a confocal microscope focus. This breakthrough is highly relevant for advancing quantum spin-optomechanics using diamond Nitrogen Vacancy (NV) centers.

  • Cavity-Free Control: The system achieves tunable optomechanical back action (damping and amplification) without requiring an external optical cavity, etalon, or wavelength-tunable laser, simplifying the experimental setup.
  • Significant Cooling: Normal mode cooling of the diamond nanobeam was demonstrated from room temperature (300 K) down to an effective temperature (Teff) of approximately 80 K.
  • High Q-Factor Performance: The mechanical quality factor (Qm) increased significantly at cryogenic temperatures, reaching 5.8 x 105 at 5 K, enabling low-power self-oscillation (60 ”W).
  • Quantum Application Potential: The induced dynamic stress fields (~100 MPa) are predicted to enable ultra-high-rate coupling between mechanical motion (phonons) and NV center electronic spins, with coupling rates up to 100 THz.
  • Material Requirement: The device relies on high-purity, optical-grade SCD material and precise nanoscale fabrication (50 x 0.5 x 0.25 ”m3 nanobeam) combined with thin-film Titanium (Ti) metalization to enhance photothermal effects.

The following table summarizes the key material and performance parameters extracted from the research paper.

ParameterValueUnitContext
Base MaterialSingle Crystal Diamond (SCD)N/AOptical Grade (Element Six)
Nanobeam Dimensions (L x W x T)50 x 0.5 x 0.25”m3Fabricated via undercut etching
Metalization LayerTitanium (Ti)~5 nmEnhances photothermal effects
Room Temperature Q-Factor (Qm)7.5 x 104N/AMeasured at 300 K, high vacuum
Cryogenic Q-Factor (Qm)5.8 x 105N/AMeasured at 5 K, high vacuum
Cooling Achievement (300K Ts)~80KEffective temperature (Teff)
Lowest Teff Achieved (5K Ts)2.2KLimited by photothermal broadening
Self-Oscillation Power (CW Laser)60”W532 nm excitation wavelength
Predicted Dynamic Stress Field~100MPaNear nanobeam clamping points (COMSOL)
Predicted Ground State Spin Coupling (Gg/2π)~1MHzNV Center stress-spin coupling
Predicted Excited State Spin Coupling (Ge/2π)~100THzNV Center stress-spin coupling

The experiment relies on precise material preparation, nanoscale fabrication, and sophisticated optical readout techniques:

  1. Material Selection: High-quality, optical-grade Single Crystal Diamond (SCD) plates (3 x 3 mm2) were used as the starting material, essential for minimizing intrinsic mechanical dissipation and hosting NV centers.
  2. Nanobeam Fabrication: Nanobeams (50 x 0.5 x 0.25 ”m3) were defined and suspended ~2 ”m above the substrate using undercut etching techniques.
  3. Metalization: A thin layer of Titanium (Ti, ~5 nm) was deposited onto the top surface using electron beam evaporation to increase optical absorption and enhance photothermal back action.
  4. Optomechanical Actuation: A 532 nm green laser, focused through a microscope objective mounted on a piezo stage, was used to induce photothermal forces. Translation of the focal position (zf) controlled the sign and strength of the optomechanical damping (cooling or amplification).
  5. Readout System: Nanobeam motion dynamics were monitored using an evanescently coupled optical fiber taper waveguide (diameter ~1 ”m) transmitting a 1570 nm source, providing high sensitivity (fm/&sqrt;Hz).
  6. Cryogenic Operation: The sample and fiber taper were mounted in a closed-cycle cryostat, allowing measurements in high vacuum over a temperature range of 5 K to 300 K.

6CCVD is uniquely positioned to supply the high-specification MPCVD diamond materials and custom processing required to replicate and advance this quantum optomechanics research.

To achieve the high Q-factors and low dissipation necessary for quantum applications, the following 6CCVD materials are recommended:

6CCVD MaterialSpecificationRelevance to Research
Optical Grade SCDHigh purity, low strain, low nitrogen content (< 1 ppb).Essential for maximizing Qm and minimizing optical absorption losses. Required for creating high-coherence NV centers.
SCD Thin FilmsThickness range: 0.1 ”m to 500 ”m.Directly supports the required 0.25 ”m thickness for the nanobeam structure, ensuring precise control over mechanical resonance frequency.
Nitrogen-Doped SCDControlled doping (e.g., 1 ppm N) available.For researchers specifically targeting high-density NV center creation via post-growth irradiation or in-situ doping.

The success of this experiment hinges on precise geometry and specialized surface modification. 6CCVD offers comprehensive customization services to meet these demands:

  • Custom Dimensions and Thickness: While the paper used a 3 x 3 mm2 sample, 6CCVD supplies SCD plates up to 10 mm x 10 mm and PCD wafers up to 125 mm, allowing for scaling and array fabrication.
  • Precision Thinning and Polishing: The high Q-factor performance is dependent on surface quality. 6CCVD guarantees Ra < 1 nm polishing for SCD, crucial for minimizing surface scattering and mechanical dissipation losses in thin nanobeams.
  • Integrated Metalization Services: The experiment required a 5 nm Titanium (Ti) layer. 6CCVD offers in-house deposition of critical metals including Ti, Au, Pt, Pd, W, and Cu, enabling researchers to optimize photothermal coupling or integrate electrical contacts directly.
  • Substrate Engineering: 6CCVD can provide custom substrates (up to 10 mm thick) necessary for complex undercut etching processes used to suspend the nanobeam 2 ”m above the diamond surface.

6CCVD’s in-house team of PhD material scientists specializes in the intersection of MPCVD diamond growth and quantum device engineering.

  • Material Selection for Quantum Applications: Our experts can assist researchers in selecting the optimal SCD grade (e.g., low-strain vs. controlled nitrogen doping) to maximize NV center coherence times while maintaining the necessary mechanical properties for Quantum Spin-Optomechanics projects.
  • Process Optimization: We provide consultation on how material parameters (e.g., crystal orientation, surface termination) influence the thermal conductivity and stress fields, which are critical factors in photothermal cooling efficiency and spin-phonon coupling rates (Gg/2π and Ge/2π).
  • Global Logistics: We ensure reliable, global shipping (DDU default, DDP available) of sensitive, high-value diamond materials, supporting international research collaborations.

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

View Original Abstract

Controlling the dynamics of mechanical resonators is central to many quantum\nscience and metrology applications. Optomechanical control of diamond\nresonators is attractive owing to diamond’s excellent physical properties and\nits ability to host electronic spins that can be coherently coupled to\nmechanical motion. Using a confocal microscope, we demonstrate tunable\namplification and damping of a diamond nanomechanical resonator’s motion.\nObservation of both normal mode cooling from room temperature to 80K, and\namplification into self—oscillations with $60\,\mu\text{W}$ of optical power\nis observed via waveguide optomechanical readout. This system is promising for\nquantum spin-optomechanics, as it is predicted to enable optical control of\nstress-spin coupling with rates of $\sim$ 1 MHz (100 THz) to ground (excited)\nstates of diamond nitrogen vacancy centers.\n