Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 3.0 License. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Featured in Physics
  • Open Access

Ultralow-Noise SiN Trampoline Resonators for Sensing and Optomechanics

Christoph Reinhardt, Tina Müller, Alexandre Bourassa, and Jack C. Sankey*

  • Department of Physics, McGill University, Montréal, Québec, H3A 2T8, Canada

Phys. Rev. X 6, 021001 – Published 1 April, 2016Erratum Phys. Rev. X 7, 039901 (2017)

DOI: https://doi.org/10.1103/PhysRevX.6.021001

Abstract

In force sensing, optomechanics, and quantum motion experiments, it is typically advantageous to create lightweight, compliant mechanical elements with the lowest possible force noise. Here, we report the fabrication and characterization of high-aspect-ratio, nanogram-scale Si3N4 “trampolines” having quality factors above 4×107 and ringdown times exceeding 5 min (mHz linewidth). These devices exhibit thermally limited force noise sensitivities below 20aN/Hz1/2 at room temperature, which is the lowest among solid-state mechanical sensors. We also characterize the suitability of these devices for high-finesse cavity readout and optomechanics applications, finding no evidence of surface or bulk optical losses from the processed nitride in a cavity achieving finesse 40,000. These parameters provide access to a single-photon cooperativity C08 in the resolved-sideband limit, wherein a variety of outstanding optomechanics goals become feasible.

View figure in article

Physics Subject Headings (PhySH)

Erratum

Erratum: Ultralow-Noise SiN Trampoline Resonators for Sensing and Optomechanics [Phys. Rev. X 6, 021001 (2016)]

Christoph Reinhardt, Tina Müller, Alexandre Bourassa, and Jack C. Sankey
Phys. Rev. X 7, 039901 (2017)

Viewpoint

Trampolines Sense a Disturbance in the Force

Published 18 April, 2016

Researchers have engineered trampoline resonators that may be able to sense extremely weak forces and display quantum behavior at ambient temperatures.

See more in Physics

Popular Summary

See Also

Mechanical Resonators for Quantum Optomechanics Experiments at Room Temperature

R. A. Norte, J. P. Moura, and S. Gröblacher
Phys. Rev. Lett. 116, 147202 (2016)

Article Text

References (47)

  1. K. Y. Yasumura, T. D. Stowe, E. M. Chow, T. Pfafman, T. W. Kenny, B. C. Stipe, and D. Rugar, Quality Factors in Micron- and Submicron-Thick Cantilevers, J. Microelectromech. Syst. 9, 117 (2000).
  2. Y. Tao, J. M. Boss, B. A. Moores, and C. L. Degen, Single-Crystal Diamond Nanomechanical Resonators with Quality Factors Exceeding One Million, Nat. Commun. 5, 3638 (2014).
  3. J. Moser, A. Eichler, J. Güttinger, M. I. Dykman, and A. Bachtold, Nanotube Mechanical Resonators with Quality Factors of up to 5 Million, Nat. Nanotechnol. 9, 1007 (2014).
  4. D. Rugar, R. Budakian, H. J. Mamin, and B. W. Chui, Single Spin Detection by Magnetic Resonance Force Microscopy, Nature (London) 430, 329 (2004).
  5. C. L. Degen, M. Poggio, H. J. Mamin, C. T. Rettner, and D. Rugar, Nanoscale Magnetic Resonance Imaging, Proc. Natl. Acad. Sci. U.S.A. 106, 1313 (2009).
  6. M. A. Castellanos-Beltran, D. Q. Ngo, W. E. Shanks, A. B. Jayich, and J. G. E. Harris, Measurement of the Full Distribution of Persistent Current in Normal-Metal Rings, Phys. Rev. Lett. 110, 156801 (2013).
  7. T. P. Purdy, R. W. Peterson, and C. A. Regal, Observation of Radiation Pressure Shot Noise on a Macroscopic Object, Science 339, 801 (2013).
  8. A. D. O’Connell, M. Hofheinz, M. Ansmann, R. C. Bialczak, M. Lenander, E. Lucero, M. Neeley, D. Sank, H. Wang, M. Weides, J. Wenner, J. M. Martinis, and A. N. Cleland, Quantum Ground State and Single-Phonon Control of a Mechanical Resonator, Nature (London) 464, 697 (2010).
  9. J. D. Teufel, T. Donner, D. Li, J. W. Harlow, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, K. W. Lehnert, and R. W. Simmonds, Sideband Cooling of Micromechanical Motion to the Quantum Ground State, Nature (London) 475, 359 (2011).
  10. J. Chan, T. P. M. Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Groblacher, M. Aspelmeyer, and O. Painter, Laser Cooling of a Nanomechanical Oscillator into its Quantum Ground State, Nature (London) 478, 89 (2011).
  11. A. H. Safavi-Naeini, J. Chan, J. T. Hill, T. P. M. Alegre, A. Krause, and O. Painter, Observation of Quantum Motion of a Nanomechanical Resonator, Phys. Rev. Lett. 108, 033602 (2012).
  12. T. P. Purdy, P.-L. Yu, N. S. Kampel, R. W. Peterson, K. Cicak, R. W. Simmonds, and C. A. Regal, Optomechanical Raman-Ratio Thermometry, Phys. Rev. A 92, 031802 (2015).
  13. M. Underwood, D. Mason, D. Lee, H. Xu, L. Jiang, A. B. Shkarin, K. Børkje, S. M. Girvin, and J. G. E. Harris, Measurement of the Motional Sidebands of a Nanogram-Scale Oscillator in the Quantum Regime, Phys. Rev. A 92, 061801 (2015).
  14. S. M. Meenehan, J. D. Cohen, G. S. MacCabe, F. Marsili, M. D. Shaw, and O. Painter, Pulsed Excitation Dynamics of an Optomechanical Crystal Resonator near Its Quantum Ground State of Motion, Phys. Rev. X 5, 041002 (2015).
  15. P. R. Saulson, Thermal Noise in Mechanical Experiments, Phys. Rev. D 42, 2437 (1990).
  16. R. A. Norte, J. P. Moura, and S. Gröblacher, Mechanical Resonators for Quantum Optomechanics Experiments at Room Temperature, Phys. Rev. Lett. 116, 147202 (2016).
  17. D. J. Wilson, C. A. Regal, S. B. Papp, and H. J. Kimble, Cavity Optomechanics with Stoichiometric SiN Films, Phys. Rev. Lett. 103, 207204 (2009).
  18. J. C. Sankey, C. Yang, B. M. Zwickl, A. M. Jayich, and J. G. E. Harris, Strong and Tunable Nonlinear Optomechanical Coupling in a Low-Loss System, Nat. Phys. 6, 707 (2010).
  19. D. E. Chang, K.-K. Ni, O. Painter, and H. J. Kimble, Ultrahigh-Q Mechanical Oscillators through Optical Trapping, New J. Phys. 14, 045002 (2012).
  20. R. A. Norte, Ph.D. thesis, California Institute of Technology, 2015, http://resolver.caltech.edu/CaltechTHESIS:10292014-120111728.
  21. S. Groblacher, J. B. Hertzberg, M. R. Vanner, G. D. Cole, S. Gigan, K. C. Schwab, and M. Aspelmeyer, Demonstration of an Ultracold Micro-Optomechanical Oscillator in a Cryogenic Cavity, Nat. Phys. 5, 485 (2009).
  22. D. Kleckner, B. Pepper, E. Jeffrey, P. Sonin, S. M. Thon, and D. Bouwmeester, Optomechanical Trampoline Resonators, Opt. Express 19, 19708 (2011).
  23. S. S. Verbridge, J. M. Parpia, R. B. Reichenbach, L. M. Bellan, and H. G. Craighead, High Quality Factor Resonance at Room Temperature with Nanostrings under High Tensile Stress, J. Appl. Phys. 99, 124304 (2006).
  24. J. D. Thompson, B. M. Zwickl, A. M. Jayich, F. Marquardt, S. M. Girvin, and J. G. E. Harris, Strong Dispersive Coupling of a High-Finesse Cavity to a Micromechanical Membrane, Nature (London) 452, 72 (2008).
  25. S. Schmid, K. D. Jensen, K. H. Nielsen, and A. Boisen, Damping Mechanisms in High-Q Micro and Nanomechanical String Resonators, Phys. Rev. B 84, 165307 (2011).
  26. K. K. Ni, R. Norte, D. J. Wilson, J. D. Hood, D. E. Chang, O. Painter, and H. J. Kimble, Enhancement of Mechanical Q Factors by Optical Trapping, Phys. Rev. Lett. 108, 214302 (2012).
  27. Y. He and B. J. Orr, Optical Heterodyne Signal Generation and Detection in Cavity Ringdown Spectroscopy Based on a Rapidly Swept Cavity, Chem. Phys. Lett. 335, 215 (2001).
  28. A. M. Jayich, J. C. Sankey, B. M. Zwickl, C. Yang, J. D. Thompson, S. M. Girvin, A. A. Clerk, F. Marquardt, and J. G. E. Harris, Dispersive Optomechanics: A Membrane inside a Cavity, New J. Phys. 10, 095008 (2008).
  29. S. Chakram, Y. S. Patil, L. Chang, and M. Vengalattore, Dissipation in Ultrahigh Quality Factor SiN Membrane Resonators, Phys. Rev. Lett. 112, 127201 (2014).
  30. L. G. Villanueva and S. Schmid, Evidence of Surface Loss as Ubiquitous Limiting Damping Mechanism in SiN Micro- and Nanomechanical Resonators, Phys. Rev. Lett. 113, 227201 (2014).
  31. R. W. Andrews, R. W. Peterson, T. P. Purdy, K. Cicak, R. W. Simmonds, C. A. Regal, and K. W. Lehnert, Bidirectional and Efficient Conversion between Microwave and Optical Light, Nat. Phys. 10, 321 (2014).
  32. M. Yuan, M. A. Cohen, and G. A. Steele, Silicon Nitride Membrane Resonators at Millikelvin Temperatures with Quality Factors Exceeding 108, Appl. Phys. Lett. 107, 263501 (2015).
  33. H. I. Rasool, P. R. Wilkinson, A. Z. Stieg, and J. K. Gimzewski, A Low Noise All-Fiber Interferometer for High Resolution Frequency Modulated Atomic Force Microscopy Imaging in Liquids, Rev. Sci. Instrum. 81, 023703 (2010).
  34. N. E. Flowers-Jacobs, S. W. Hoch, J. C. Sankey, A. Kashkanova, A. M. Jayich, C. Deutsch, J. Reichel, and J. G. E. Harris, Fiber-Cavity-Based Optomechanical Device, Appl. Phys. Lett. 101, 221109 (2012).
  35. B. M. Zwickl, W. E. Shanks, A. M. Jayich, C. Yang, A. C. Bleszynski Jayich, J. D. Thompson, and J. G. E. Harris, High Quality Mechanical and Optical Properties of Commercial Silicon Nitride Membranes, Appl. Phys. Lett. 92, 103125 (2008).
  36. J. Moser, J. Güttinger, A. Eichler, M. J. Esplandiu, D. E. Liu, M. I. Dykman, and A. Bachtold, Ultrasensitive Force Detection with a Nanotube Mechanical Resonator, Nat. Nanotechnol. 8, 493 (2013).
  37. M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Cavity Optomechanics, Rev. Mod. Phys. 86, 1391 (2014).
  38. I. Wilson-Rae, N. Nooshi, W. Zwerger, and T. J. Kippenberg, Theory of Ground State Cooling of a Mechanical Oscillator Using Dynamical Backaction, Phys. Rev. Lett. 99, 093901 (2007).
  39. F. Marquardt, J. P. Chen, A. A. Clerk, and S. M. Girvin, Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion, Phys. Rev. Lett. 99, 093902 (2007).
  40. R. W. Peterson, T. P. Purdy, N. S. Kampel, R. W. Andrews, P.-L. Yu, K. W. Lehnert, and C. A. Regal, Laser Cooling of a Micromechanical Membrane to the Quantum Backaction Limit, Phys. Rev. Lett. 116, 063601 (2016).
  41. A. A. Clerk, F. Marquardt, and J. G. E. Harris, Quantum Measurement of Phonon Shot Noise, Phys. Rev. Lett. 104, 213603 (2010).
  42. H. Miao, S. Danilishin, T. Corbitt, and Y. Chen, Standard Quantum Limit for Probing Mechanical Energy Quantization, Phys. Rev. Lett. 103, 100402 (2009).
  43. T. Müller, C. Reinhardt, and J. C. Sankey, Enhanced Optomechanical Levitation of Minimally Supported Dielectrics, Phys. Rev. A 91, 053849 (2015).
  44. Cavity Optomechanics, edited by M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt (Springer-Verlag, Berlin Heidelberg, 2014).
  45. C. Stambaugh, H. Xu, U. Kemiktarak, J. Taylor, and J. Lawall, From Membrane-in-the-Middle to Mirror-in-the-Middle with a High-Reflectivity Sub-Wavelength Grating, Ann. Phys. (Amsterdam) 527, 81 (2015).
  46. I. Zubel and M. Kramkowska, Etch Rates and Morphology of Silicon (h k l) Surfaces Etched in KOH and KOH Saturated with Isopropanol Solutions, Sens. Actuators A: Phys. 115, 549 (2004).
  47. K. E. Grutter, M. Davanco, and K. Srinivasan, Si3N4 Nanobeam Optomechanical Crystals, IEEE J. Sel. Top. Quantum Electron. 21, 61 (2015).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation