A two-dimensional optomechanical crystal for quantum transduction
Pith reviewed 2026-05-24 00:11 UTC · model grok-4.3
The pith
Two-dimensional b-dagger optomechanical crystals achieve ground-state cooling of a 7.4 GHz acoustic mode to n_m = 0.35 from an initial temperature of 3 kelvin through enhanced thermal anchoring.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The b-dagger geometry alleviates the temperature increase due to residual optical absorption through increased thermal anchoring to the surrounding material. Combined with large optomechanical coupling rates of g0/2π ≈ 880 kHz and high optical quality factors of Q_opt = 2.4 × 10^5, this enables cooling the acoustic mode to phononic occupancies as low as n_m = 0.35 from an initial temperature of 3 kelvin, entering the optomechanical strong-coupling regime, and demonstrating ground-state operation with n_m < 0.45 for repetition rates as high as 3 MHz at temperatures below 10 millikelvin.
What carries the argument
The b-dagger two-dimensional optomechanical crystal geometry that provides substantially increased thermal anchoring to the surrounding material.
If this is right
- Ground-state cooling of the acoustic mode to n_m = 0.35 becomes possible from an initial temperature of 3 kelvin.
- The system enters the optomechanical strong-coupling regime.
- Pulsed sideband asymmetry measurements demonstrate ground-state operation at repetition rates up to 3 MHz below 10 millikelvin.
- The results establish a foundation for microwave-to-optical transducers with entanglement rates that can overcome decoherence rates of state-of-the-art superconducting qubits.
Where Pith is reading between the lines
- The thermal anchoring improvement may permit higher optical drive powers before heating limits performance in transduction applications.
- Analogous two-dimensional anchoring patterns could be explored in other nanomechanical resonators to extend their usable temperature range.
- Operation starting from 3 kelvin rather than millikelvin base temperatures could reduce reliance on the most demanding cryogenic stages in quantum network experiments.
Load-bearing premise
The b-dagger geometry provides substantially increased thermal anchoring to the surrounding material without introducing compensating losses or fabrication issues that would negate the benefit.
What would settle it
A measurement showing no improvement in final phonon occupancy relative to prior one-dimensional designs, or a significant drop in optical quality factor attributable to the new geometry, would falsify the claimed advantage.
Figures
read the original abstract
Integrated optomechanical systems are one of the leading platforms for manipulating, sensing, and distributing quantum information. The temperature increase due to residual optical absorption sets the ultimate limit on performance for these applications. In this work, we demonstrate a two-dimensional optomechanical crystal geometry, named \textbf{b-dagger}, that alleviates this problem through increased thermal anchoring to the surrounding material. Our mechanical mode operates at 7.4 GHz, well within the operation range of standard cryogenic microwave hardware and piezoelectric transducers. The enhanced thermalization combined with the large optomechanical coupling rates, $g_0/2\pi \approx 880~\mathrm{kHz}$, and high optical quality factors, $Q_\text{opt} = 2.4 \times 10^5$, enables the ground-state cooling of the acoustic mode to phononic occupancies as low as $n_\text{m} = 0.35$ from an initial temperature of 3 kelvin, as well as entering the optomechanical strong-coupling regime. Finally, we perform pulsed sideband asymmetry of our devices at a temperature below 10 millikelvin and demonstrate ground-state operation ($n_\text{m} < 0.45$) for repetition rates as high as 3 MHz. Our results extend the boundaries of optomechanical system capabilities and establish a robust foundation for the next generation of microwave-to-optical transducers with entanglement rates overcoming the decoherence rates of state-of-the-art superconducting qubits.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript introduces a two-dimensional 'b-dagger' optomechanical crystal geometry that achieves ground-state cooling of a 7.4 GHz acoustic mode to n_m = 0.35 from an initial 3 K bath temperature, enters the optomechanical strong-coupling regime, and demonstrates pulsed sideband asymmetry with n_m < 0.45 at repetition rates up to 3 MHz below 10 mK. These results are attributed to enhanced thermal anchoring from the 2D lattice, together with measured g_0/2π ≈ 880 kHz and Q_opt = 2.4 × 10^5.
Significance. If the attribution to geometry-specific thermal anchoring is substantiated, the work would advance cryogenic optomechanical transduction by relaxing the power-handling limit set by residual absorption, potentially enabling entanglement rates competitive with superconducting qubit decoherence times.
major comments (1)
- [Device design and results sections] The central claim that the b-dagger geometry provides substantially increased thermal anchoring (without offsetting losses) rests on inference from the reported cooling performance rather than direct evidence. No quantitative thermal-conductance measurements, finite-element heat-flow simulations, or control devices in a standard 1D OMC geometry fabricated in the same run are presented to isolate the geometry's contribution from run-to-run material variation.
Simulated Author's Rebuttal
We thank the referee for their careful review and constructive feedback. We address the single major comment below.
read point-by-point responses
-
Referee: [Device design and results sections] The central claim that the b-dagger geometry provides substantially increased thermal anchoring (without offsetting losses) rests on inference from the reported cooling performance rather than direct evidence. No quantitative thermal-conductance measurements, finite-element heat-flow simulations, or control devices in a standard 1D OMC geometry fabricated in the same run are presented to isolate the geometry's contribution from run-to-run material variation.
Authors: We agree that the manuscript attributes the observed performance (n_m = 0.35 from a 3 K bath, strong coupling, and pulsed operation) to enhanced thermal anchoring in the b-dagger geometry on the basis of inference from the cooling results and the 2D lattice design, rather than direct thermal-conductance data. In the revised manuscript we will add finite-element heat-flow simulations to quantify the thermal conductance of the b-dagger structure relative to conventional 1D OMC geometries. We will also expand the device-design section with a more explicit comparison to literature values for 1D devices under comparable conditions. Control devices fabricated in the identical run are not available, as the fabrication focused on the new 2D geometry; however, the reported metrics (g_0/2π ≈ 880 kHz, Q_opt = 2.4 × 10^5) and the ability to reach ground-state cooling from 3 K provide supporting context for the design choice. revision: yes
Circularity Check
No circularity: experimental results on fabricated devices
full rationale
The manuscript reports measured values (g0/2π ≈ 880 kHz, Q_opt = 2.4 × 10^5, n_m = 0.35 from 3 K, n_m < 0.45 at 3 MHz pulsed) obtained directly from fabricated 2D b-dagger devices via standard optomechanical characterization techniques. No equations, fits, or derivations are presented that reduce these quantities to inputs by construction, nor are load-bearing claims justified solely via self-citation chains. The attribution of performance to geometry is an inference from the data rather than a mathematical reduction, and the paper remains self-contained against external benchmarks without invoking uniqueness theorems or ansatzes from prior author work.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption Standard optomechanical interaction Hamiltonian and sideband cooling model apply to extract phonon occupancy from measurements
Lean theorems connected to this paper
-
IndisputableMonolith/Cost/FunctionalEquation.leanwashburn_uniqueness_aczel unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
two-dimensional optomechanical crystal geometry, named b-dagger, that alleviates this problem through increased thermal anchoring
-
IndisputableMonolith/Foundation/RealityFromDistinction.leanreality_from_one_distinction unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
ground-state cooling of the acoustic mode to phononic occupancies as low as n_m = 0.35
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
Reference graph
Works this paper leans on
-
[1]
H., Van Thourhout, D., Baets, R
Safavi-Naeini, A. H., Van Thourhout, D., Baets, R. & Van Laer, R. Controlling phonons and photons at the wavelength scale: Integrated photonics meets integrated phononics. Optica 6, 213–232 (2019)
work page 2019
-
[2]
Li, B.-B., Ou, L., Lei, Y. & Liu, Y.-C. Cavity optome- chanical sensing. Nanophotonics 10, 2799–2832 (2021)
work page 2021
-
[3]
Eggleton, B. J., Poulton, C. G., Rakich, P. T., Steel, M. J. & Bahl, G. Brillouin integrated photonics. Nature Photonics 13, 664–677 (2019)
work page 2019
-
[4]
Barzanjeh, S. et al. Optomechanics for quantum tech- nologies. Nature Physics 18, 15–24 (2022)
work page 2022
-
[6]
Mason, D., Chen, J., Rossi, M., Tsaturyan, Y. & Schliesser, A. Continuous force and displacement mea- surement below the standard quantum limit. Nature Physics 15, 745–749 (2019)
work page 2019
-
[7]
Krause, A. G., Winger, M., Blasius, T. D., Lin, Q. & Painter, O. A high-resolution microchip optomechanical accelerometer. Nature Photonics 6, 768–772 (2012)
work page 2012
-
[8]
Eichenfield, M., Camacho, R., Chan, J., Vahala, K. J. & Painter, O. A picogram- and nanometre-scale photonic- crystal optomechanical cavity. Nature 459, 550–555 (2009)
work page 2009
-
[9]
Sansa, M. et al. Optomechanical mass spectrometry. Na- ture Communications 11, 3781 (2020)
work page 2020
-
[10]
Gavartin, E., Verlot, P. & Kippenberg, T. J. A hy- brid on-chip optomechanical transducer for ultrasensitive force measurements. Nature Nanotechnology 7, 509–514 (2012)
work page 2012
-
[11]
Andrews, R. W. et al. Bidirectional and efficient conver- sion between microwave and optical light.Nature Physics 10, 321–326 (2014). 7
work page 2014
-
[12]
Forsch, M. et al. Microwave-to-optics conversion using a mechanical oscillator in its quantum ground state.Nature Physics 16, 69–74 (2020)
work page 2020
-
[13]
Eichenfield, M., Chan, J., Camacho, R. M., Vahala, K. J. & Painter, O. Optomechanical crystals. Nature 462, 78– 82 (2009)
work page 2009
-
[15]
Riedinger, R. et al. Non-classical correlations between single photons and phonons from a mechanical oscillator. Nature 530, 313–316 (2016)
work page 2016
-
[16]
Safavi-Naeini, A. H. et al. Squeezed light from a silicon micromechanical resonator. Nature 500, 185–189 (2013)
work page 2013
-
[17]
Riedinger, R. et al. Remote quantum entanglement be- tween two micromechanical oscillators. Nature 556, 473– 477 (2018)
work page 2018
-
[18]
Jiang, W. et al. Optically heralded microwave photon addition. Nature Physics 19, 1423–1428 (2023)
work page 2023
-
[19]
Meesala, S. et al. Non-classical microwave–optical pho- ton pair generation with a chip-scale transducer. Nature Physics 1–7 (2024)
work page 2024
-
[20]
Zhao, H., Bozkurt, A. & Mirhosseini, M. Electro-optic transduction in silicon via gigahertz-frequency nanome- chanics. Optica 10, 790–796 (2023)
work page 2023
- [21]
-
[22]
Chan, J., Safavi-Naeini, A. H., Hill, J. T., Meenehan, S. & Painter, O. Optimized optomechanical crystal cavity with acoustic radiation shield. Applied Physics Letters 101, 081115 (2012)
work page 2012
-
[23]
Borselli, M., Johnson, T. J. & Painter, O. Measuring the role of surface chemistry in silicon microphotonics. Applied Physics Letters 88, 131114 (2006)
work page 2006
-
[24]
Meenehan, S. M. et al. Pulsed Excitation Dynamics of an Optomechanical Crystal Resonator near Its Quantum Ground State of Motion. Physical Review X 5, 041002 (2015)
work page 2015
-
[25]
Cui, K. et al. Phonon lasing in a hetero optomechanical crystal cavity. Photonics Research 9, 937–943 (2021)
work page 2021
-
[26]
Kolvik, J., Burger, P., Frey, J. & Van Laer, R. Clamped and sideband-resolved silicon optomechanical crystals. Optica 10, 913–916 (2023)
work page 2023
-
[27]
Qiu, L., Shomroni, I., Seidler, P. & Kippenberg, T. J. Laser Cooling of a Nanomechanical Oscillator to Its Zero-Point Energy. Physical Review Letters 124, 173601 (2020)
work page 2020
-
[28]
Korsch, A. R., Fiaschi, N. & Gr¨ oblacher, S. Phononic Crystals in Superfluid Thin-Film Helium (2024). 2402.18259
-
[29]
Sachkou, Y. P. et al. Coherent vortex dynamics in a strongly interacting superfluid on a silicon chip. Science 366, 1480–1485 (2019)
work page 2019
-
[30]
Safavi-Naeini, A. H. et al. Two-Dimensional Phononic- Photonic Band Gap Optomechanical Crystal Cavity. Physical Review Letters 112, 153603 (2014)
work page 2014
-
[31]
Ren, H. et al. Two-dimensional optomechanical crystal cavity with high quantum cooperativity. Nature Com- munications 11, 3373 (2020)
work page 2020
-
[32]
Madiot, G., Albrechtsen, M., Stobbe, S., Sotomayor- Torres, C. M. & Arregui, G. Multimode optomechan- ics with a two-dimensional optomechanical crystal. APL Photonics 8, 116107 (2023)
work page 2023
-
[33]
Chiappina, P. et al. Design of an ultra-low mode vol- ume piezo-optomechanical quantum transducer. Optics Express 31, 22914 (2023)
work page 2023
-
[34]
Weaver, M. J. et al. An integrated microwave-to-optics interface for scalable quantum computing. Nature Nan- otechnology 19, 166–172 (2024)
work page 2024
-
[35]
Krastanov, S. et al. Optically Heralded Entanglement of Superconducting Systems in Quantum Networks. Physi- cal Review Letters 127, 040503 (2021)
work page 2021
-
[36]
Zhong, C. et al. Proposal for Heralded Generation and Detection of Entangled Microwave–Optical-Photon Pairs. Physical Review Letters 124, 010511 (2020)
work page 2020
-
[37]
Zhong, C., Han, X., Tang, H. X. & Jiang, L. Entangle- ment of microwave-optical modes in a strongly coupled electro-optomechanical system. Physical Review A 101, 032345 (2020)
work page 2020
-
[38]
Aram, M. H. & Khorasani, S. Optomechanical coupling strength in various triangular phoxonic crystal slab cav- ities. Journal of the Optical Society of America B 35, 1390 (2018)
work page 2018
-
[39]
Hopcroft, M. A., Nix, W. D. & Kenny, T. W. What is the Young’s Modulus of Silicon? Journal of Microelec- tromechanical Systems 19, 229–238 (2010)
work page 2010
-
[40]
Primo, A. G. et al. Quasinormal-Mode Perturbation The- ory for Dissipative and Dispersive Optomechanics. Phys- ical Review Letters 125, 233601 (2020)
work page 2020
-
[41]
Aspelmeyer, M., Kippenberg, T. J. & Marquardt, F. Cavity optomechanics. Reviews of Modern Physics 86, 1391–1452 (2014)
work page 2014
-
[42]
Xu, M. et al. Radiative Cooling of a Superconducting Resonator. Physical Review Letters 124, 033602 (2020)
work page 2020
-
[43]
Meenehan, S. M. et al. Silicon optomechanical crystal resonator at millikelvin temperatures. Physical Review A 90, 011803 (2014)
work page 2014
-
[44]
Safavi-Naeini, A. H. et al. Laser noise in cavity- optomechanical cooling and thermometry. New Journal of Physics 15, 035007 (2013)
work page 2013
-
[45]
Primo, A. G. et al. Dissipative optomechanics in high- frequency nanomechanical resonators. Nature Communi- cations 14, 5793 (2023)
work page 2023
-
[46]
Chan, J. et al. Laser cooling of a nanomechanical oscil- lator into its quantum ground state. Nature 478, 89–92 (2011)
work page 2011
-
[47]
Safavi-Naeini, A. H. et al. Electromagnetically induced transparency and slow light with optomechanics. Nature 472, 69–73 (2011)
work page 2011
-
[48]
Gr¨ oblacher, S., Hammerer, K., Vanner, M. R. & As- pelmeyer, M. Observation of strong coupling between a micromechanical resonator and an optical cavity field. Nature 460, 724–727 (2009)
work page 2009
-
[49]
Fiaschi, N. et al. Optomechanical quantum teleportation. Nature Photonics 15, 817–821 (2021)
work page 2021
-
[50]
Wallucks, A., Marinkovi´ c, I., Hensen, B., Stockill, R. & Gr¨ oblacher, S. A quantum memory at telecom wave- lengths. Nature Physics 16, 772–777 (2020)
work page 2020
-
[51]
MacCabe, G. S. et al. Nano-acoustic resonator with ul- tralong phonon lifetime. Science 370, 840–843 (2020)
work page 2020
- [52]
-
[53]
Alegre, T. P. M., Safavi-Naeini, A., Winger, M. & Painter, O. Quasi-two-dimensional optomechanical crys- tals with a complete phononic bandgap. Optics Express 8 19, 5658–5669 (2011)
work page 2011
-
[54]
Safavi-Naeini, A. H. & Painter, O. Design of op- tomechanical cavities and waveguides on a simultaneous bandgap phononic-photonic crystal slab. Optics Express 18, 14926–14943 (2010). METHODS A. Fabrication We start device fabrication by using electron-beam lithography (Raith EBPG 5200+, 100 kV) to pattern the OMCs on a silicon-on-insulator (SOI) chip (220...
work page 2010
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.