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arxiv: 2406.14484 · v1 · submitted 2024-06-20 · 🪐 quant-ph · physics.optics

A two-dimensional optomechanical crystal for quantum transduction

Pith reviewed 2026-05-24 00:11 UTC · model grok-4.3

classification 🪐 quant-ph physics.optics
keywords optomechanicsquantum transductionground-state coolingoptomechanical crystalstrong-coupling regimethermal anchoringmicrowave-to-optical conversion
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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.

The paper introduces a two-dimensional optomechanical crystal geometry named b-dagger that increases thermal contact with the surrounding material to reduce heating from light absorption. This design operates at 7.4 GHz and achieves cooling of the mechanical mode to a phonon number of 0.35 starting from 3 kelvin, along with access to the strong-coupling regime between light and sound. Pulsed measurements confirm low phonon numbers even at repetition rates of 3 MHz when cooled below 10 millikelvin. Such performance advances the development of devices that convert quantum signals between microwave and optical frequencies.

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

These are editorial extensions of the paper, not claims the author makes directly.

  • 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

Figures reproduced from arXiv: 2406.14484 by Amir H. Safavi-Naeini, Andr\'e G. Primo, Felix M. Mayor, Samuel Gyger, Sultan Malik, Thiago P. M. Alegre, Wentao Jiang.

Figure 1
Figure 1. Figure 1: FIG. 1 [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗
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.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 0 minor

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)
  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

1 responses · 0 unresolved

We thank the referee for their careful review and constructive feedback. We address the single major comment below.

read point-by-point responses
  1. 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

0 steps flagged

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

0 free parameters · 1 axioms · 0 invented entities

Work is experimental; no new theoretical entities or derivations are introduced. Measured parameters replace any need for free parameters in the central claims.

axioms (1)
  • domain assumption Standard optomechanical interaction Hamiltonian and sideband cooling model apply to extract phonon occupancy from measurements
    Invoked to interpret cooling results and strong-coupling regime from observed spectra.

pith-pipeline@v0.9.0 · 5816 in / 1305 out tokens · 32662 ms · 2026-05-24T00:11:02.951411+00:00 · methodology

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Reference graph

Works this paper leans on

52 extracted references · 52 canonical work pages

  1. [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)

  2. [2]

    & Liu, Y.-C

    Li, B.-B., Ou, L., Lei, Y. & Liu, Y.-C. Cavity optome- chanical sensing. Nanophotonics 10, 2799–2832 (2021)

  3. [3]

    J., Poulton, C

    Eggleton, B. J., Poulton, C. G., Rakich, P. T., Steel, M. J. & Bahl, G. Brillouin integrated photonics. Nature Photonics 13, 664–677 (2019)

  4. [4]

    Barzanjeh, S. et al. Optomechanics for quantum tech- nologies. Nature Physics 18, 15–24 (2022)

  5. [6]

    & Schliesser, A

    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)

  6. [7]

    G., Winger, M., Blasius, T

    Krause, A. G., Winger, M., Blasius, T. D., Lin, Q. & Painter, O. A high-resolution microchip optomechanical accelerometer. Nature Photonics 6, 768–772 (2012)

  7. [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)

  8. [9]

    Sansa, M. et al. Optomechanical mass spectrometry. Na- ture Communications 11, 3781 (2020)

  9. [10]

    & Kippenberg, T

    Gavartin, E., Verlot, P. & Kippenberg, T. J. A hy- brid on-chip optomechanical transducer for ultrasensitive force measurements. Nature Nanotechnology 7, 509–514 (2012)

  10. [11]

    Andrews, R. W. et al. Bidirectional and efficient conver- sion between microwave and optical light.Nature Physics 10, 321–326 (2014). 7

  11. [12]

    Forsch, M. et al. Microwave-to-optics conversion using a mechanical oscillator in its quantum ground state.Nature Physics 16, 69–74 (2020)

  12. [13]

    M., Vahala, K

    Eichenfield, M., Chan, J., Camacho, R. M., Vahala, K. J. & Painter, O. Optomechanical crystals. Nature 462, 78– 82 (2009)

  13. [15]

    Riedinger, R. et al. Non-classical correlations between single photons and phonons from a mechanical oscillator. Nature 530, 313–316 (2016)

  14. [16]

    Safavi-Naeini, A. H. et al. Squeezed light from a silicon micromechanical resonator. Nature 500, 185–189 (2013)

  15. [17]

    Riedinger, R. et al. Remote quantum entanglement be- tween two micromechanical oscillators. Nature 556, 473– 477 (2018)

  16. [18]

    Jiang, W. et al. Optically heralded microwave photon addition. Nature Physics 19, 1423–1428 (2023)

  17. [19]

    Meesala, S. et al. Non-classical microwave–optical pho- ton pair generation with a chip-scale transducer. Nature Physics 1–7 (2024)

  18. [20]

    & Mirhosseini, M

    Zhao, H., Bozkurt, A. & Mirhosseini, M. Electro-optic transduction in silicon via gigahertz-frequency nanome- chanics. Optica 10, 790–796 (2023)

  19. [21]

    & Tang, H

    Han, X., Fu, W., Zou, C.-L., Jiang, L. & Tang, H. X. Microwave-optical quantum frequency conversion.Optica 8, 1050–1064 (2021)

  20. [22]

    H., Hill, J

    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)

  21. [23]

    Borselli, M., Johnson, T. J. & Painter, O. Measuring the role of surface chemistry in silicon microphotonics. Applied Physics Letters 88, 131114 (2006)

  22. [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)

  23. [25]

    Cui, K. et al. Phonon lasing in a hetero optomechanical crystal cavity. Photonics Research 9, 937–943 (2021)

  24. [26]

    & Van Laer, R

    Kolvik, J., Burger, P., Frey, J. & Van Laer, R. Clamped and sideband-resolved silicon optomechanical crystals. Optica 10, 913–916 (2023)

  25. [27]

    & Kippenberg, T

    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)

  26. [28]

    R., Fiaschi, N

    Korsch, A. R., Fiaschi, N. & Gr¨ oblacher, S. Phononic Crystals in Superfluid Thin-Film Helium (2024). 2402.18259

  27. [29]

    Sachkou, Y. P. et al. Coherent vortex dynamics in a strongly interacting superfluid on a silicon chip. Science 366, 1480–1485 (2019)

  28. [30]

    Safavi-Naeini, A. H. et al. Two-Dimensional Phononic- Photonic Band Gap Optomechanical Crystal Cavity. Physical Review Letters 112, 153603 (2014)

  29. [31]

    Ren, H. et al. Two-dimensional optomechanical crystal cavity with high quantum cooperativity. Nature Com- munications 11, 3373 (2020)

  30. [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)

  31. [33]

    Chiappina, P. et al. Design of an ultra-low mode vol- ume piezo-optomechanical quantum transducer. Optics Express 31, 22914 (2023)

  32. [34]

    Weaver, M. J. et al. An integrated microwave-to-optics interface for scalable quantum computing. Nature Nan- otechnology 19, 166–172 (2024)

  33. [35]

    Krastanov, S. et al. Optically Heralded Entanglement of Superconducting Systems in Quantum Networks. Physi- cal Review Letters 127, 040503 (2021)

  34. [36]

    Zhong, C. et al. Proposal for Heralded Generation and Detection of Entangled Microwave–Optical-Photon Pairs. Physical Review Letters 124, 010511 (2020)

  35. [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)

  36. [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)

  37. [39]

    A., Nix, W

    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)

  38. [40]

    Primo, A. G. et al. Quasinormal-Mode Perturbation The- ory for Dissipative and Dispersive Optomechanics. Phys- ical Review Letters 125, 233601 (2020)

  39. [41]

    Aspelmeyer, M., Kippenberg, T. J. & Marquardt, F. Cavity optomechanics. Reviews of Modern Physics 86, 1391–1452 (2014)

  40. [42]

    Xu, M. et al. Radiative Cooling of a Superconducting Resonator. Physical Review Letters 124, 033602 (2020)

  41. [43]

    Meenehan, S. M. et al. Silicon optomechanical crystal resonator at millikelvin temperatures. Physical Review A 90, 011803 (2014)

  42. [44]

    Safavi-Naeini, A. H. et al. Laser noise in cavity- optomechanical cooling and thermometry. New Journal of Physics 15, 035007 (2013)

  43. [45]

    Primo, A. G. et al. Dissipative optomechanics in high- frequency nanomechanical resonators. Nature Communi- cations 14, 5793 (2023)

  44. [46]

    Chan, J. et al. Laser cooling of a nanomechanical oscil- lator into its quantum ground state. Nature 478, 89–92 (2011)

  45. [47]

    Safavi-Naeini, A. H. et al. Electromagnetically induced transparency and slow light with optomechanics. Nature 472, 69–73 (2011)

  46. [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)

  47. [49]

    Fiaschi, N. et al. Optomechanical quantum teleportation. Nature Photonics 15, 817–821 (2021)

  48. [50]

    & Gr¨ oblacher, S

    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)

  49. [51]

    MacCabe, G. S. et al. Nano-acoustic resonator with ul- tralong phonon lifetime. Science 370, 840–843 (2020)

  50. [52]

    & Noda, S

    Asano, T., Ochi, Y., Takahashi, Y., Kishimoto, K. & Noda, S. Photonic crystal nanocavity with a Q factor exceeding eleven million. Optics Express 25, 1769–1777 (2017)

  51. [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)

  52. [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...