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Near-Field Integration of a SiN Nanobeam and a Microcavity for Heisenberg-Limited Displacement Sensing
Phys. Rev. Applied 5, 054019 – Published 26 May, 2016
DOI: https://doi.org/10.1103/PhysRevApplied.5.054019
Abstract
Placing a nanomechanical object in the evanescent near field of a high- optical microcavity gives access to strong gradient forces and quantum-limited displacement readout, offering an attractive platform for both precision sensing technology and basic quantum optics research. Robustly implementing this platform is challenging, however, as it requires integrating optically smooth surfaces separated by . Here we describe an exceptionally high-cooperativity, single-chip optonanomechanical transducer based on a high-stress nanobeam monolithically integrated into the evanescent near field of microdisk cavity. Employing a vertical integration technique based on planarized sacrificial layers, we realize beam-disk gaps as little as 25 nm while maintaining mechanical and intrinsic optical . The combination of low loss, small gap, and parallel-plane geometry results in radio-frequency flexural modes with vacuum optomechanical coupling rates of 100 kHz, single-photon cooperativities in excess of unity, and large zero-point frequency (displacement) noise amplitudes of . In conjunction with the high power-handling capacity of and low extraneous substrate noise, the transducer performs particularly well as a sensor, with recent deployment in a 4-K cryostat realizing a displacement imprecision 40 dB below that at the standard quantum limit (SQL) and an imprecision-backaction product [Wilson et al., Nature (London) 524, 325 (2015)]. In this report, we provide a comprehensive description of device design, fabrication, and characterization, with an emphasis on extending Heisenberg-limited readout to room temperature. Towards this end, we describe a room-temperature experiment in which a displacement imprecision 32 dB below that at the SQL and an imprecision-backaction product is achieved. Our results extend the outlook for measurement-based quantum control of nanomechanical oscillators and suggest an alternative platform for functionally integrated “hybrid” quantum optomechanics.
Physics Subject Headings (PhySH)
Synopsis
Position Detector Approaches the Heisenberg Limit
The light field from a microcavity can be used to measure the displacement of a thin bar with an uncertainty that is close to the Heisenberg limit.
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References (79)
- K. L. Ekinci and M. L. Roukes, Nanoelectromechanical systems, Rev. Sci. Instrum. 76, 061101 (2005).
- A. N. Cleland and M. L. Roukes, A nanometre-scale mechanical electrometer, Nature (London) 392, 160 (1998).
- H. J. Mamin and D. Rugar, Sub-attonewton force detection at millikelvin temperatures, Appl. Phys. Lett. 79, 3358 (2001).
- K. Jensen, Kwanpyo Kim, and A. Zettl, An atomic-resolution nanomechanical mass sensor, Nat. Nanotechnol. 3, 533 (2008).
- K. C. Schwab and M. L. Roukes, Putting mechanics into quantum mechanics, Phys. Today 58, No. 7, 36 (2005).
- M. D. LaHaye, Approaching the quantum limit of a nanomechanical resonator, Science 304, 74 (2004).
- N. E. Flowers-Jacobs, D. R. Schmidt, and K. W. Lehnert, Intrinsic Noise Properties of Atomic Point Contact Displacement Detectors, Phys. Rev. Lett. 98, 096804 (2007).
- C. A. Regal, J. D. Teufel, and K. W. Lehnert, Measuring nanomechanical motion with a microwave cavity interferometer, Nat. Phys. 4, 555 (2008).
- J. D. Teufel, D. Li, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, and R. W. Simmonds, Circuit cavity electromechanics in the strong-coupling regime, Nature (London) 471, 204 (2011).
- T. J. Kippenberg and K. J. Vahala, Cavity optomechanics: Back-action at the mesoscale, Science 321, 1172 (2008).
- M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Cavity optomechanics, Rev. Mod. Phys. 86, 1391 (2014).
- C. M. Caves, Quantum-Mechanical Radiation-Pressure Fluctuations in an Interferometer, Phys. Rev. Lett. 45, 75 (1980).
- J. Chan, T. P. Mayer Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Groeblacher, M. Aspelmeyer, and O. Painter, Laser cooling of a nanomechanical oscillator into its quantum ground state, Nature (London) 478, 89 (2011).
- E. Verhagen, S. Deléglise, S. Weis, A. Schliesser, and T. J. Kippenberg, Quantum-coherent coupling of a mechanical oscillator to an optical cavity mode, Nature (London) 482, 63 (2012).
- 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).
- 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).
- V. B. Braginsky, F. Y. Khalili, and K. S. Thorne, Quantum measurement (Cambridge University Press, Cambridge, England, 1995).
- D. J. Wilson, V. Sudhir, N. Piro, R. Schilling, A. H. Ghadimi, and T. J. Kippenberg, Measurement-based control of a mechanical oscillator at its thermal decoherence rate, Nature (London) 524, 325 (2015).
- A. G Krause, T. D. Blasius, and O. Painter, Optical read out and feedback cooling of a nanostring optomechanical cavity, arXiv:1506.01249.
- T. P. Purdy, R. W. Peterson, and C. A. Regal, Observation of radiation pressure shot noise on a macroscopic object, Science 339, 801 (2013).
- J. D. Teufel, F. Lecocq, and R. W. Simmonds, Overwhelming Thermomechanical Motion with Microwave Radiation Pressure Shot Noise, Phys. Rev. Lett. 116, 013602 (2016).
- J.-M. Courty, A. Heidmann, and M. Pinard, Quantum limits of cold damping with optomechanical coupling, Eur. Phys. J. D 17, 399 (2001).
- A. Szorkovszky, A. C. Doherty, G. I. Harris, and W. P. Bowen, Mechanical Squeezing via Parametric Amplification and Weak Measurement, Phys. Rev. Lett. 107, 213603 (2011).
- D. Kleckner and D. Bouwmeester, Sub-kelvin optical cooling of a micromechanical resonator, Nature (London) 444, 75 (2006).
- J. D. Thompson, B. M. Zwickl, A. M. Jayich, Florian 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).
- A. Schliesser, G. Anetsberger, R. Rivire, O. Arcizet, and T. J. Kippenberg, High-sensitivity monitoring of micromechanical vibration using optical whispering gallery mode resonators, New J. Phys. 10, 095015 (2008).
- M. Eichenfield, J. Chan, Ryan M. Camacho, K. J. Vahala, and O. Painter, Optomechanical crystals, Nature (London) 462, 78 (2009).
- D. Van Thourhout and J. Roels, Optomechanical device actuation through the optical gradient force, Nat. Photonics 4, 211 (2010).
- S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, Ideality in a Fiber-Taper-Coupled Microresonator System for Application to Cavity Quantum Electrodynamics, Phys. Rev. Lett. 91, 043902 (2003).
- G. Anetsberger, O. Arcizet, Q. P. Unterreithmeier, R. Rivire, A. Schliesser, E. M. Weig, J. P. Kotthaus, and T. J. Kippenberg, Near-field cavity optomechanics with nanomechanical oscillators, Nat. Phys. 5, 909 (2009).
- C. Doolin, P. H. Kim, B. D. Hauer, A. J. R. MacDonald, and J. P. Davis, Multidimensional optomechanical cantilevers for high-frequency force sensing, New J. Phys. 16, 035001 (2014).
- R. M. Cole, G. A. Brawley, V. P. Adiga, R. De Alba, J. M. Parpia, B. Ilic, H. G. Craighead, and W. P. Bowen, Evanescent-Field Optical Readout of Graphene Mechanical Motion at Room Temperature, Phys. Rev. Applied 3, 024004 (2015).
- L. Neuhaus, E. van Brackel, E. Gavartin, P. Verlot, and T. J. Kippenberg, in CLEO: Science and Innovations (Optical Society of America, Washington, DC, 2012), p. CW3M–2.
- E. Gavartin, P. Verlot, and T. J. Kippenberg, A hybrid on-chip optomechanical transducer for ultrasensitive force measurements, Nat. Nanotechnol. 7, 509 (2012).
- G. Anetsberger, E. Gavartin, O. Arcizet, Q. P. Unterreithmeier, E. M. Weig, M. L. Gorodetsky, J. P. Kotthaus, and T. J. Kippenberg, Measuring nanomechanical motion with an imprecision below the standard quantum limit, Phys. Rev. A 82, 061804(R) (2010).
- R. A. Norte, J. P. Moura, and S. Gröblacher, Mechanical Resonators for Quantum Optomechanics Experiments at Room Temperature, Phys. Rev. Lett. 116, 147202 (2016).
- A. H. Safavi-Naeini, S. Groeblacher, J. T. Hill, J. Chan, M. Aspelmeyer, and O. Painter, Squeezed light from a silicon micromechanical resonator, Nature (London) 500, 185 (2013).
- T. P. Purdy, P.-L. Yu, R. W. Peterson, N. S. Kampel, and C. A. Regal, Strong Optomechanical Squeezing of Light, Phys. Rev. X 3 (2013).
- R. Leijssen and E. Verhagen, Strong optomechanical interactions in a sliced photonic crystal nanobeam, Sci. Rep. 5, 15974 (2015).
- E. E. Wollman, C. U. Lei, A. J. Weinstein, J. Suh, A. Kronwald, F. Marquardt, A. A. Clerk, and K. C. Schwab, Quantum squeezing of motion in a mechanical resonator, Science 349, 952 (2015).
- T. A. Palomaki, J. W. Harlow, J. D. Teufel, R. W. Simmonds, and K. W. Lehnert, Coherent state transfer between itinerant microwave fields and a mechanical oscillator, Nature (London) 495, 210 (2013).
- M. Wu, A. C. Hryciw, C. Healey, D. P. Lake, H. Jayakumar, M. R. Freeman, J. P. Davis, and P. E. Barclay, Dissipative and Dispersive Optomechanics in a Nanocavity Torque Sensor, Phys. Rev. X 4, 021052 (2014).
- N. Matsumoto, K. Komori, Y. Michimura, G. Hayase, Y. Aso, and K. Tsubono, 5-mg suspended mirror driven by measurement-induced backaction, Phys. Rev. A 92, 033825 (2015).
- S. S. Verbridge, J. M. Parpia, Rob. 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).
- M. Imboden and P. Mohanty, Dissipation in nanoelectromechanical systems, Phys. Rep. 534, 89 (2014).
- R. O. Pohl, X. Liu, and E. J. Thompson, Low-temperature thermal conductivity and acoustic attenuation in amorphous solids, Rev. Mod. Phys. 74, 991 (2002).
- 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).
- J. Rieger, A. Isacsson, M. J. Seitner, J. P. Kotthaus, and E. M. Weig, Energy losses of nanomechanical resonators induced by atomic force microscopy-controlled mechanical impedance mismatching, Nat. Commun. 5, 3345 (2014).
- G. I. González and P. R. Saulson, Brownian motion of a mass suspended by an anelastic wire, J. Acoust. Soc. Am. 96, 207 (1994).
- Q. P. Unterreithmeier, T. Faust, and J. P. Kotthaus, Damping of Nanomechanical Resonators, Phys. Rev. Lett. 105, 027205 (2010).
- A. H. Ghadimi, D. J. Wilson, and T. J. Kippenberg, Dissipation engineering of high-stress silicon nitride nanobeams, arXiv:1603.01605.
- J. D. Teufel, T. Donner, M. A. Castellanos-Beltran, J. W. Harlow, and K. W. Lehnert, Nanomechanical motion measured with an imprecision below that at the standard quantum limit, Nat. Nanotechnol. 4, 820 (2009).
- S. S. Verbridge, R. Ilic, H. G. Craighead, and J. M. Parpia, Size and frequency dependent gas damping of nanomechanical resonators, Appl. Phys. Lett. 93, 013101 (2008).
- 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).
- T. J. Kippenberg, J. Kalkman, A. Polman, and K. J. Vahala, Demonstration of an erbium-doped microdisk laser on a silicon chip, Phys. Rev. A 74, 051802 (2006).
- H. Lee, T. Chen, J. Li, K. Y. Yang, S. Jeon, O. Painter, and K. J. Vahala, Chemically etched ultrahigh-q wedge-resonator on a silicon chip, Nat. Photonics 6, 369 (2012).
- T. J. Kippenberg, J. Kalkman, A. Polman, and K. Vahala, Demonstration of an erbium-doped microdisk laser on a silicon chip, Phys. Rev. A 74 (2006).
- M. Oxborrow, Traceable 2-D finite-element simulation of the whispering-gallery modes of axisymmetric electromagnetic resonators, IEEE Trans. Microwave Theory Tech. 55, 1209 (2007).
- M. Borselli, T. Johnson, and O. Painter, Beyond the Rayleigh scattering limit in high-q silicon microdisks: Theory and experiment, Opt. Express 13, 1515 (2005).
- M. L. Povinelli, M. Loncar, M. Ibanescu, E. J. Smythe, S. G. Johnson, F. Capasso, and J. D. Joannopoulos, Evanescent-wave bonding between optical waveguides, Opt. Lett. 30, 3042 (2005).
- G. Anetsberger, Ph.D. thesis, LMU Munich, 2010.
- R. Riviere, O. Arcizet, A. Schliesser, and T. J. Kippenberg, Evanescent straight tapered-fiber coupling of ultra-high q optomechanical micro-resonators in a low-vibration helium-4 exchange-gas cryostat, Rev. Sci. Instrum. 84, 043108 (2013).
- M. L. Gorodetsky, A. Schliesser, G. Anetsberger, S. Deleglise, and T. J. Kippenberg, Determination of the vacuum optomechanical coupling rate using frequency noise calibration, Opt. Express 18, 23236 (2010).
- W. Zhang, M. J. Martin, C. Benko, J. L. Hall, J. Ye, C. Hagemann, T. Legero, U. Sterr, F. Riehle, G. D. Cole et al., Reduction of residual amplitude modulation to for frequency modulation and laser stabilization, Opt. Lett. 39, 1980 (2014).
- C. H. Metzger and K. Karrai, Cavity cooling of a microlever, Nature (London) 432, 1002 (2004).
- 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).
- P. R. Saulson, Thermal noise in mechanical experiments, Phys. Rev. D 42, 2437 (1990).
- O. Arcizet, R. Rivière, A. Schliesser, G. Anetsberger, and T. J. Kippenberg, Cryogenic properties of optomechanical silica microcavities, Phys. Rev. A 80, 021803 (2009).
- Q. P. Unterreithmeier, E. M. Weig, and J. P. Kotthaus, Universal transduction scheme for nanomechanical systems based on dielectric forces, Nature (London) 458, 1001 (2009).
- P.-L. Yu, T. P. Purdy, and C. A. Regal, Control of Material Damping in High-q Membrane Microresonators, Phys. Rev. Lett. 108, 083603 (2012).
- T. Bagci, A. Simonsen, S. Schmid, L. G. Villanueva, E. Zeuthen, J. Appel, J. M. Taylor, A. Sørensen, K. Usami, A. Schliesser et al., Optical detection of radio waves through a nanomechanical transducer, Nature (London) 507, 81 (2014).
- S. Schmid, T. Bagci, E. Zeuthen, J. M. Taylor, P. K. Herring, M. C. Cassidy, C. M. Marcus, L. G. Villanueva, B. Amato, A. Boisen et al., Single-layer graphene on silicon nitride micromembrane resonators, J. Appl. Phys. 115, 054513 (2014).
- O. Arcizet, V. Jacques, A. Siria, P. Poncharal, P. Vincent, and S. Seidelin, A single nitrogen-vacancy defect coupled to a nanomechanical oscillator, Nat. Phys. 7, 879 (2011).
- K. Hammerer, M. Aspelmeyer, E. S. Polzik, and P. Zoller, Establishing Einstein-Poldosky-Rosen Channels between Nanomechanics and Atomic Ensembles, Phys. Rev. Lett. 102, 020501 (2009).
- A. Jöckel, A. Faber, T. Kampschulte, M. Korppi, M. T. Rakher, and P. Treutlein, Sympathetic cooling of a membrane oscillator in a hybrid mechanical–atomic system, Nat. Nanotechnol. 10, 55 (2014).
- E. Vetsch, D. Reitz, G. Sagué, R. Schmidt, S. T. Dawkins, and A. Rauschenbeutel, Optical Interface Created by Laser-Cooled Atoms Trapped in the Evanescent Field Surrounding an Optical Nanofiber, Phys. Rev. Lett. 104, 203603 (2010).
- S. Groeblacher, A. Trubarov, N. Prigge, G. D. Cole, M. Aspelmeyer, and J. Eisert, Observation of non-Markovian micromechanical Brownian motion, Nat. Commun. 6, 7606 (2015).
- M. Metcalfe, Applications of cavity optomechanics, Appl. Phys. Rev. 1, 031105 (2014).
- A. G. Krause, M. Winger, T. D. Blasius, Q. Lin, and O. Painter, A high-resolution microchip optomechanical accelerometer, Nat. Photonics 6, 768 (2012).