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Cooling and amplifying motion of a diamond resonator with a microscope

MetadataDetails
Publication Date2018-01-01
JournalarXiv (Cornell University)
AuthorsHarishankar Jayakumar, Behzad Khanaliloo, David P. Lake, Paul E. Barclay
AnalysisFull AI Review Included

Technical Documentation & Analysis: Diamond Nanomechanical Resonators for Quantum Optomechanics

Section titled “Technical Documentation & Analysis: Diamond Nanomechanical Resonators for Quantum Optomechanics”

This research demonstrates a critical advance in diamond quantum technology by achieving tunable optomechanical control—specifically damping and amplification—of Single Crystal Diamond (SCD) nanoresonators using a standard confocal microscope setup. This methodology is highly relevant for integrating mechanical motion control with diamond Nitrogen Vacancy (NV) centers for quantum information processing.

  • Exceptional Thermal and Mechanical Control: Achieved optomechanical normal-mode cooling of the SCD nanobeam from room temperature (300 K) down to an effective temperature ($T_{eff}$) of 80 K. Cryogenic operation enabled further cooling to $T_{eff}$ = 2.2 K.
  • High Q-Factor Performance: The high-purity Single Crystal Diamond (SCD) material exhibited exceptional mechanical quality factors ($Q_m$), improving from $7.5 \times 10^4$ at 300 K to $5.8 \times 10^5$ at 5 K.
  • Low Power Self-Oscillation: Self-oscillations of the mechanical modes were excited using extremely low optical power (60 ”W) at cryogenic temperatures, a significant reduction compared to room temperature requirements (2-3 mW).
  • Quantum Spin Relevance: The resulting dynamic stress field generated by the self-oscillations is predicted to reach ~100 MPa, corresponding to spin-phonon coupling rates of up to 100 THz—directly enabling optomechanical control of diamond NV center spins.
  • Custom Diamond Structure: The experiment relied on a precise, doubly clamped SCD nanobeam (50 x 0.5 x 0.25 ”m3) coated with a thin layer of Titanium (~5 nm) to enhance photothermal feedback.

The following table summarizes the key material and performance metrics extracted from the study, demonstrating the requirements for advanced diamond quantum devices.

ParameterValueUnitContext
Diamond TypeSingle Crystal (SCD)N/AOptical Grade, High Purity
Nanobeam Dimensions (L x W x T)50 x 0.5 x 0.25”m3Doubly Clamped Resonator
Metalization Layer~5nmTitanium (Ti), E-beam evaporated
Mechanical Quality Factor ($Q_m$)$7.5 \times 10^4$ / $5.8 \times 10^5$Dimensionless300 K / 5 K operation
Lowest Effective Temperature ($T_{eff}$)2.2KMeasured under maximum optomechanical damping
Cooling Range Demonstrated300 down to 80KNormal mode cooling
Minimum Self-Oscillation Power60”WRequired power at cryogenic temperature (5 K)
Control Laser Wavelength532nmGreen laser (Optomechanical feedback source)
Readout Wavelength1570nmInfrared (Evanescent coupling via fiber taper)
Maximum Dynamic Stress (Predicted)~100MPaStress exerted on NV centers during self-oscillation
Predicted Spin Coupling Rate (Excited State)~100THzCoupling rate for NV center Ge/2π

The experimental success relied on precision diamond fabrication and specialized vacuum/cryogenic environment control to maximize the mechanical Quality factor and control the photothermal optomechanical feedback.

  1. Material Sourcing: High-quality, optical-grade Single Crystal Diamond (SCD) substrates (3 x 3 mm2) were used, requiring extremely flat, highly polished surfaces to ensure high optical quality and compatibility with subsequent fabrication.
  2. Nanostructure Fabrication: Nanobeams were defined and released using quasi-isotropic undercut etching, creating a monolithic diamond structure suspended approximately 2 ”m above the diamond substrate.
  3. Optomechanical Enhancement: A thin layer of Titanium (Ti, ~5 nm) was deposited via electron beam evaporation. This coating served the dual purpose of enhancing photothermal effects (critical for tuning back action) and improving SEM image quality for structural validation.
  4. Environmental Control: The sample was mounted within a closed-cycle cryostat, allowing for measurements in high vacuum ($\lt 10^{-5}$ Torr) and across a wide thermal range (5 K to 300 K). Nanopositioners were used for precise alignment.
  5. Tuning and Control: A focused 532 nm green laser, controlled by a three-axis piezo stage, was used to tune the optical intensity gradient ($dI/dz_f$). Translation of the focal spot position dictated whether the photothermal back action resulted in mechanical damping or amplification.
  6. Readout System: Mechanical motion of the nanobeam was independently monitored using a 1570 nm infrared source coupled evanescently via a dimpled optical fiber taper waveguide, functioning purely as a high-sensitivity displacement sensor.

6CCVD is uniquely positioned as the ideal partner to replicate, optimize, and scale the production of the advanced SCD nanoresonators required for spin-optomechanics and quantum sensing applications.

To replicate the performance achieved in this research, 6CCVD recommends:

  • Optical Grade Single Crystal Diamond (SCD): Required for applications involving NV centers, optical coupling, and demanding high mechanical quality factors ($Q_m$). Our SCD offers high purity and low defect density essential for achieving cryogenic Q-factors above $10^5$.
  • Ultra-Thin SCD Plates: 6CCVD offers SCD material down to 0.1 ”m thickness, allowing researchers to precisely select the optimal initial substrate thickness for deep-etch processes required to define high-aspect ratio nanobeams (like the 0.25 ”m thick device used here).

The experimental fabrication requires capabilities that align perfectly with 6CCVD’s core service offerings, allowing researchers to quickly move from concept to functional device.

Paper Requirement6CCVD Custom CapabilityEngineering Advantage
Custom Dimensions/GeometryCustom Laser Cutting & Etch Prep: We supply wafers/plates precisely sized for subsequent lithography and deep etching processes.Saves significant time and material waste in early fabrication stages.
Precise Thickness ControlSCD/PCD up to 500 ”m thickness, down to 0.1 ”m. Substrate thickness up to 10 mm.Guarantees the necessary starting thickness (e.g., 0.25 ”m) for optimal mechanical mode frequencies.
MetalizationIn-house Thin-Film Deposition: We provide custom coating services including Titanium (Ti), Platinum (Pt), Gold (Au), Palladium (Pd), etc., applied via high-precision techniques (e-beam/sputtering).Ensures the necessary photothermal coupling layer is integrated cleanly onto the SCD surface, vital for back-action tuning.
Surface FinishUltra-Smooth Polishing: We guarantee SCD surface roughness of Ra < 1 nm, critical for minimizing optical scattering and maximizing coupling efficiency for both the 532 nm control and 1570 nm readout lasers.Reduces dissipation channels and improves optical interface performance.

The successful development of this nanomechanical system requires deep expertise in both diamond material science and micro-fabrication.

  • 6CCVD’s in-house PhD engineering team specializes in MPCVD diamond growth recipes and can consult on material selection (SCD vs. PCD), crystal orientation (e.g., [100] vs. [111]), and doping levels (e.g., BDD) tailored for high-$Q_m$ or specific spin-optomechanics projects.
  • We offer tailored consultation for optimizing diamond properties, such as controlling native NV center concentration or preparing surfaces for enhanced acoustic coupling, supporting researchers working toward achieving 100 THz spin-phonon coupling rates.

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