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Slot-mode-coupled optomechanical crystalsMarcelo Davanço, Jasper Chan, Amir H. Safavi-Naeini, Oskar Painter, and Kartik Srinivasan »View Author Affiliations
Marcelo Davanço,1,2,*
Jasper Chan,2
Amir H. Safavi-Naeini,2
Oskar Painter,2
and Kartik Srinivasan1
1Center for Nanoscale Science and Technology, National Institute of Standards and Technology, Gaithersburg, MD 20899-6203, USA 2Thomas J. Watson, Sr., Laboratory of Applied Physics, California Institute of Technology, Pasadena, CA 91125, USA *Corresponding author: mdavanco@nist.gov |
Optics Express, Vol. 20, Issue 22, pp. 24394-24410 (2012)
http://dx.doi.org/10.1364/OE.20.024394
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Abstract
We present a design methodology and analysis of a cavity optomechanical system in which a localized GHz frequency mechanical mode of a nanobeam resonator is evanescently coupled to a high quality factor (Q > 106) optical mode of a separate nanobeam optical cavity. Using separate nanobeams provides flexibility, enabling the independent design and optimization of the optics and mechanics of the system. In addition, the small gap (≈25 nm) between the two resonators gives rise to a slot mode effect that enables a large zero-point optomechanical coupling strength to be achieved, with g/2π > 300 kHz in a Si3N4 system at 980 nm and g/2π ≈ 900 kHz in a Si system at 1550 nm. The fact that large coupling strengths to GHz mechanical oscillators can be achieved in Si3N4 is important, as this material has a broad optical transparency window, which allows operation throughout the visible and near-infrared. As an application of this platform, we consider wide-band optical frequency conversion between 1300 nm and 980 nm, using two optical nanobeam cavities coupled on either side to the breathing mode of a mechanical nanobeam resonator.
© 2012 OSA
OCIS Codes
(230.1040) Optical devices : Acousto-optical devices
(350.4238) Other areas of optics : Nanophotonics and photonic crystals
(230.5298) Optical devices : Photonic crystals
ToC Category:
Photonic Crystals
History
Original Manuscript: July 20, 2012
Revised Manuscript: September 19, 2012
Manuscript Accepted: September 25, 2012
Published: October 10, 2012
Citation
Marcelo Davanço, Jasper Chan, Amir H. Safavi-Naeini, Oskar Painter, and Kartik Srinivasan, "Slot-mode-coupled optomechanical crystals," Opt. Express 20, 24394-24410 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-22-24394
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References
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- A. H. Safavi-Naeini, T. P. M. Alegre, J. Chan, M. Eichenfield, M. Winger, Q. Lin, J. T. Hill, D. E. Chang, and O. Painter, “Electromagnetically induced transparency and slow light with optomechanics,” Nature (London)472, 69–73 (2011). [CrossRef]
- M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, and O. Painter, “Optomechanical crystals,” Nature462, 78–82 (2009). [CrossRef] [PubMed]
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- M. Eichenfield, J. Chan, A. H. Safavi-Naeini, K. J. Vahala, and O. Painter, “Modeling dispersive coupling and-losses of localized optical andmechanical modes in optomechanicalcrystals,” Opt. Express17, 20078–20098 (2009). [CrossRef] [PubMed]
- R. M. Camacho, J. Chan, M. Eichenfield, and O. Painter, “Characterization of radiation pressure and thermal effects in a nanoscale optomechanical cavity,” Opt. Express17, 15726–15735 (2009). [CrossRef] [PubMed]
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- J. Sulkko, M. A. Sillanpää, P. Häkkinen, L. Lechner, M. Helle, A. Fefferman, J. Parpia, and P. J. Hakonen, “Strong gate coupling of high-Q nanomechanical resonators,” Nano Lett.10, 4884–4889 (2010). [CrossRef]
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- K. Y. Fong, W. H. P. Pernice, M. Li, and H. X. Tang, “High Q optomechanical resonators in silicon nitride nanophotonic circuits,” Appl. Phys. Lett.97, 073112 (2010). [CrossRef]
- S. Weis, R. Rivière, S. Deléglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, “Optomechanically induced transparency,” Science330, 1520–1523 (2010). [CrossRef] [PubMed]
- J. Hwang, M. Pototschnig, R. Lettow, G. Zumofen, A. Renn, S. Goetzinger, and V. Sandoghdar, “A single-molecule optical transistor,” Nature460, 76–80 (2009). [CrossRef] [PubMed]
- A. Gondarenko, J. S. Levy, and M. Lipson, “High confinement micron-scale silicon nitride high Q ring resonator,” Opt. Express17, 11366–11370 (2009). [CrossRef] [PubMed]
- G. S. Wiederhecker, L. Chen, A. Gondarenko, and M. Lipson, “Controlling photonic structures using optical forces,” Nature462, 633–636 (2009). [CrossRef] [PubMed]
- J. Chan, T. P. M. Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Gröblacher, M. Aspelmeyer, and O. Painter, “Laser cooling of a nanomechanical oscillator into its quantum ground state,” Nature (London)478, 89–92 (2011). [CrossRef]
- R. H. Hadfield, “Single-photon detectors for optical quantum information applications,” Nat. Photonics3, 696–705 (2009). [CrossRef]
- D. E. Chang, A. H. Safavi-Naeini, M. Hafezi, and O. Painter, “Slowing and stopping light using an optomechanical crystal array,” New J. Phys.13, 023003 (2011). [CrossRef]
- J. Sulkko, M. A. Sillanpää, P. Häkkinen, L. Lechner, M. Helle, A. Fefferman, J. Parpia, and P. J. Hakonen, “Strong gate coupling of high-Q nanomechanical resonators,” Nano Lett.10, 4884–4889 (2010). [CrossRef]
- F. Massel, T. T. Heikkilä, J.-M. Pirkkalainen, S. U. Cho, H. Saloniemi, P. J. Hakonen, and M. A. Sillanpää, “Microwave amplification with nanomechanical resonators,” Nature (London)480, 351–354 (2011). [CrossRef]
- J. Sulkko, M. A. Sillanpää, P. Häkkinen, L. Lechner, M. Helle, A. Fefferman, J. Parpia, and P. J. Hakonen, “Strong gate coupling of high-Q nanomechanical resonators,” Nano Lett.10, 4884–4889 (2010). [CrossRef]
- 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, 359–363 (2011). [CrossRef]
- 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). [CrossRef]
- F. Massel, T. T. Heikkilä, J.-M. Pirkkalainen, S. U. Cho, H. Saloniemi, P. J. Hakonen, and M. A. Sillanpää, “Microwave amplification with nanomechanical resonators,” Nature (London)480, 351–354 (2011). [CrossRef]
- J. Sulkko, M. A. Sillanpää, P. Häkkinen, L. Lechner, M. Helle, A. Fefferman, J. Parpia, and P. J. Hakonen, “Strong gate coupling of high-Q nanomechanical resonators,” Nano Lett.10, 4884–4889 (2010). [CrossRef]
- J. Chan, A. H. Safavi-Naeini, J. Hill, S. Meenehan, and O. Painter, “Optimized optomechanical crystal cavity with acoustic radiation shield,” (2012), arXiv:1206.2099.
- J. T. Hill, A. H. Safavi-Naeini, J. Chan, and O. Painter, “Coherent optical wavelength conversion via cavity-optomechanics,” arXiv:1203.5730 (2012).
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- Q. Lin, J. Rosenberg, X. Jiang, K. J. Vahala, and O. Painter, “Mechanical oscillation and cooling actuated by the optical gradient force,” Phys. Rev. Lett.103, 103601 (2009). [CrossRef] [PubMed]
- M. Eichenfield, J. Chan, A. H. Safavi-Naeini, K. J. Vahala, and O. Painter, “Modeling dispersive coupling and-losses of localized optical andmechanical modes in optomechanicalcrystals,” Opt. Express17, 20078–20098 (2009). [CrossRef] [PubMed]
- T. J. Kippenberg and K. J. Vahala, “Cavity opto-mechanics,” Opt. Express15, 17172–17205 (2007). [CrossRef] [PubMed]
- S. S. Verbridge, H. G. Craighead, and J. M. Parpia, “A megahertz nanomechanical resonator with room temperature quality factor over a million,” Appl. Phys. Lett.92, 013112 (2008). [CrossRef]
- C. F.-V. K. M. C. Dong and L. W.-H. Tian, “A microchip optomechanical accelerometer,” arXiv:1205.2360 (2012).
- L. Tian and H. Wang, “Optical wavelength conversion of quantum states with optomechanics,” Phys. Rev. A82, 053806 (2010). [CrossRef]
- P. T. Rakich, C. Reinke, R. Camacho, P. Davids, and Z. Wang, “Giant enhancement of stimulated Brillouin scattering in the subwavelength limit,” Phys. Rev. X2, 011008 (2012). [CrossRef]
- S. Weis, R. Rivière, S. Deléglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, “Optomechanically induced transparency,” Science330, 1520–1523 (2010). [CrossRef] [PubMed]
- S. G. Johnson, M. Ibanescu, M. A. Skorobogatiy, O. Weisberg, J. D. Joannopoulos, and Y. Fink, “Perturbation theory for Maxwell’s equations with shifting material boundaries,” Phys. Rev. E65, 066611 (2002). [CrossRef]
- 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, 359–363 (2011). [CrossRef]
- G. S. Wiederhecker, L. Chen, A. Gondarenko, and M. Lipson, “Controlling photonic structures using optical forces,” Nature462, 633–636 (2009). [CrossRef] [PubMed]
- A. G. Krause, M. Winger, T. D. Blasius, Q. Lin, and O. Painter, “A microchip optomechanical accelerometer,” arXiv:1203.5730 (2012).
- A. H. Safavi-Naeini, T. P. M. Alegre, J. Chan, M. Eichenfield, M. Winger, Q. Lin, J. T. Hill, D. E. Chang, and O. Painter, “Electromagnetically induced transparency and slow light with optomechanics,” Nature (London)472, 69–73 (2011). [CrossRef]
- A. H. Safavi-Naeini, T. P. M. Alegre, M. Winger, and O. Painter, “Optomechanics in an ultrahigh-Q two-dimensional photonic crystal cavity,” Appl. Phys. Lett.97, 181106 (2010).
- J. Zheng, Y. Li, S. Aras, M. Stein, K. L. Shepard, and C. W. Wong, “Parametric optomechanical oscillations in two-dimensional slot-type high-Q photonic crystal cavities,” Appl. Phys. Lett.100, 211908 (2012). [CrossRef]
- 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). [CrossRef]
- J. Zheng, Y. Li, S. Aras, M. Stein, K. L. Shepard, and C. W. Wong, “Parametric optomechanical oscillations in two-dimensional slot-type high-Q photonic crystal cavities,” Appl. Phys. Lett.100, 211908 (2012). [CrossRef]
- K. Stannigel, P. Rabl, A. S. Sørensen, M. D. Lukin, and P. Zoller, “Optomechanical transducers for quantum-information processing,” Phys. Rev. A84, 042341 (2011). [CrossRef]
- J. Hwang, M. Pototschnig, R. Lettow, G. Zumofen, A. Renn, S. Goetzinger, and V. Sandoghdar, “A single-molecule optical transistor,” Nature460, 76–80 (2009). [CrossRef] [PubMed]
- 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). [CrossRef]
Appl. Phys. Lett.
- A. H. Safavi-Naeini, T. P. M. Alegre, M. Winger, and O. Painter, “Optomechanics in an ultrahigh-Q two-dimensional photonic crystal cavity,” Appl. Phys. Lett.97, 181106 (2010).
- J. Zheng, Y. Li, S. Aras, M. Stein, K. L. Shepard, and C. W. Wong, “Parametric optomechanical oscillations in two-dimensional slot-type high-Q photonic crystal cavities,” Appl. Phys. Lett.100, 211908 (2012). [CrossRef]
- P. E. Barclay, K. Srinivasan, O. Painter, B. Lev, and H. Mabuchi, “Integration of fiber-coupled high-Q SiNx microdisks with magnetostatic atom chips,” Appl. Phys. Lett.89, 131108 (2006). [CrossRef]
- 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). [CrossRef]
- S. S. Verbridge, H. G. Craighead, and J. M. Parpia, “A megahertz nanomechanical resonator with room temperature quality factor over a million,” Appl. Phys. Lett.92, 013112 (2008). [CrossRef]
- K. Y. Fong, W. H. P. Pernice, M. Li, and H. X. Tang, “High Q optomechanical resonators in silicon nitride nanophotonic circuits,” Appl. Phys. Lett.97, 073112 (2010). [CrossRef]
Appl. Phys.Lett.
- Q. Quan, P. B. Deotare, and M. Loncar, “Photonic crystal nanobeam cavity strongly coupled to the feeding waveguide,” Appl. Phys.Lett.96, 203102 (2010). [CrossRef]
Nano Lett.
- J. Sulkko, M. A. Sillanpää, P. Häkkinen, L. Lechner, M. Helle, A. Fefferman, J. Parpia, and P. J. Hakonen, “Strong gate coupling of high-Q nanomechanical resonators,” Nano Lett.10, 4884–4889 (2010). [CrossRef]
Nat. Photonics
- M. T. Rakher, L. Ma, O. Slattery, X. Tang, and K. Srinivasan, “Quantum transduction of telecommunications-band single photons from a quantum dot by frequency upconversion,” Nat. Photonics4, 786–791 (2010). [CrossRef]
- A. J. Shields, “Semiconductor quantum light sources,” Nat. Photonics1, 215–223 (2007). [CrossRef]
- R. H. Hadfield, “Single-photon detectors for optical quantum information applications,” Nat. Photonics3, 696–705 (2009). [CrossRef]
Nat. Phys.
- C. A. Regal, J. D. Teufel, and K. W. Lehnert, “Measuring nanomechanical motion with a microwave cavity interferometer,” Nat. Phys.4, 555–560 (2008). [CrossRef]
Nature
- J. Hwang, M. Pototschnig, R. Lettow, G. Zumofen, A. Renn, S. Goetzinger, and V. Sandoghdar, “A single-molecule optical transistor,” Nature460, 76–80 (2009). [CrossRef] [PubMed]
- G. S. Wiederhecker, L. Chen, A. Gondarenko, and M. Lipson, “Controlling photonic structures using optical forces,” Nature462, 633–636 (2009). [CrossRef] [PubMed]
- M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, and O. Painter, “Optomechanical crystals,” Nature462, 78–82 (2009). [CrossRef] [PubMed]
- M. Eichenfield, R. Camacho, J. Chan, K. J. Vahala, and O. Painter, “A picogram- and nanometre-scale photonic-crystal optomechanical cavity,” Nature459, 550–555 (2009). [CrossRef] [PubMed]
Nature (London)
- A. H. Safavi-Naeini, T. P. M. Alegre, J. Chan, M. Eichenfield, M. Winger, Q. Lin, J. T. Hill, D. E. Chang, and O. Painter, “Electromagnetically induced transparency and slow light with optomechanics,” Nature (London)472, 69–73 (2011). [CrossRef]
- 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, 359–363 (2011). [CrossRef]
- J. Chan, T. P. M. Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Gröblacher, M. Aspelmeyer, and O. Painter, “Laser cooling of a nanomechanical oscillator into its quantum ground state,” Nature (London)478, 89–92 (2011). [CrossRef]
- H. J. Kimble, “The quantum internet,” Nature (London)453, 1023–1030 (2008). [CrossRef]
- F. Massel, T. T. Heikkilä, J.-M. Pirkkalainen, S. U. Cho, H. Saloniemi, P. J. Hakonen, and M. A. Sillanpää, “Microwave amplification with nanomechanical resonators,” Nature (London)480, 351–354 (2011). [CrossRef]
New J. Phys.
- A. H. Safavi-Naeini and O. Painter, “Proposal for an optomechanical traveling wave phonon-photon translator,” New J. Phys.13, 013017 (2011). [CrossRef]
- D. E. Chang, A. H. Safavi-Naeini, M. Hafezi, and O. Painter, “Slowing and stopping light using an optomechanical crystal array,” New J. Phys.13, 023003 (2011). [CrossRef]
Opt. Express
- T. J. Kippenberg and K. J. Vahala, “Cavity opto-mechanics,” Opt. Express15, 17172–17205 (2007). [CrossRef] [PubMed]
- A. Gondarenko, J. S. Levy, and M. Lipson, “High confinement micron-scale silicon nitride high Q ring resonator,” Opt. Express17, 11366–11370 (2009). [CrossRef] [PubMed]
- E. Shah Hosseini, S. Yegnanarayanan, A. H. Atabaki, M. Soltani, and A. Adibi, “High quality planar silicon nitride microdisk resonators for integrated photonics in the vsible wavelength range,” Opt. Express17, 14543–14551 (2009). [CrossRef]
- P. E. Barclay, K. Srinivasan, and O. Painter, “Nonlinear response of silicon photonic crystal microcavities excited via an integrated waveguide and fiber taper,” Opt. Express13, 801–820 (2005). [CrossRef] [PubMed]
- Q. Quan and M. Loncar, “Deterministic design of wavelength scale, ultra-high Q photonic crystal nanobeam cavities,” Opt. Express19, 18529–18542 (2011). [CrossRef] [PubMed]
- A. H. Safavi-Naeini and O. Painter, “Design of optomechanical cavities and waveguides on a simultaneous bandgap phononic-photonic crystal slab,” Opt. Express18, 14926–14943 (2010). [CrossRef] [PubMed]
- R. M. Camacho, J. Chan, M. Eichenfield, and O. Painter, “Characterization of radiation pressure and thermal effects in a nanoscale optomechanical cavity,” Opt. Express17, 15726–15735 (2009). [CrossRef] [PubMed]
- K. Srinivasan and O. Painter, “Momentum space design of high-Q photonic crystal optical cavities,” Opt. Express10, 670–684 (2002). [PubMed]
- M. Eichenfield, J. Chan, A. H. Safavi-Naeini, K. J. Vahala, and O. Painter, “Modeling dispersive coupling and-losses of localized optical andmechanical modes in optomechanicalcrystals,” Opt. Express17, 20078–20098 (2009). [CrossRef] [PubMed]
Opt. Lett.
- V. R. Almeida, Q. Xu, C. A. Barrios, and M. Lipson, “Guiding and confining light in void nanostructure,” Opt. Lett.29, 1209–1211 (2004). [CrossRef] [PubMed]
- M. Khan, T. Babinec, M. W. McCutcheon, P. Deotare, and M. Lončar, “Fabrication and characterization of high-quality-factor silicon nitride nanobeam cavities,” Opt. Lett.36, 421–423 (2011). [CrossRef] [PubMed]
Phys. Rev. A
- K. Stannigel, P. Rabl, A. S. Sørensen, M. D. Lukin, and P. Zoller, “Optomechanical transducers for quantum-information processing,” Phys. Rev. A84, 042341 (2011). [CrossRef]
- L. Tian and H. Wang, “Optical wavelength conversion of quantum states with optomechanics,” Phys. Rev. A82, 053806 (2010). [CrossRef]
Phys. Rev. B
- Y.-G. Roh, T. Tanabe, A. Shinya, H. Taniyama, E. Kuramochi, S. Matsuo, T. Sato, and M. Notomi, “Strong optomechanical interaction in a bilayer photonic crystal,” Phys. Rev. B81, 121101 (2010). [CrossRef]
Phys. Rev. E
- S. G. Johnson, M. Ibanescu, M. A. Skorobogatiy, O. Weisberg, J. D. Joannopoulos, and Y. Fink, “Perturbation theory for Maxwell’s equations with shifting material boundaries,” Phys. Rev. E65, 066611 (2002). [CrossRef]
Phys. Rev. Lett.
- Q. Lin, J. Rosenberg, X. Jiang, K. J. Vahala, and O. Painter, “Mechanical oscillation and cooling actuated by the optical gradient force,” Phys. Rev. Lett.103, 103601 (2009). [CrossRef] [PubMed]
Phys. Rev. X
- P. T. Rakich, C. Reinke, R. Camacho, P. Davids, and Z. Wang, “Giant enhancement of stimulated Brillouin scattering in the subwavelength limit,” Phys. Rev. X2, 011008 (2012). [CrossRef]
Science
- S. Weis, R. Rivière, S. Deléglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, “Optomechanically induced transparency,” Science330, 1520–1523 (2010). [CrossRef] [PubMed]
Other
- M. Ludwig, A. H. Safavi-Naeini, O. Painter, and F. Marquadt, “Optomechanical photon detection and enhanced dispersive phonon readout,” arXiv:1202.0532 (2012).
- J. T. Hill, A. H. Safavi-Naeini, J. Chan, and O. Painter, “Coherent optical wavelength conversion via cavity-optomechanics,” arXiv:1203.5730 (2012).
- C. F.-V. K. M. C. Dong and L. W.-H. Tian, “A microchip optomechanical accelerometer,” arXiv:1205.2360 (2012).
- J. Chan, A. H. Safavi-Naeini, J. Hill, S. Meenehan, and O. Painter, “Optimized optomechanical crystal cavity with acoustic radiation shield,” (2012), arXiv:1206.2099.
- A. G. Krause, M. Winger, T. D. Blasius, Q. Lin, and O. Painter, “A microchip optomechanical accelerometer,” arXiv:1203.5730 (2012).
2012, Hill,
- J. T. Hill, A. H. Safavi-Naeini, J. Chan, and O. Painter, “Coherent optical wavelength conversion via cavity-optomechanics,” arXiv:1203.5730 (2012).
- C. F.-V. K. M. C. Dong and L. W.-H. Tian, “A microchip optomechanical accelerometer,” arXiv:1205.2360 (2012).
- J. Zheng, Y. Li, S. Aras, M. Stein, K. L. Shepard, and C. W. Wong, “Parametric optomechanical oscillations in two-dimensional slot-type high-Q photonic crystal cavities,” Appl. Phys. Lett.100, 211908 (2012). [CrossRef]
- A. G. Krause, M. Winger, T. D. Blasius, Q. Lin, and O. Painter, “A microchip optomechanical accelerometer,” arXiv:1203.5730 (2012).
- J. Chan, A. H. Safavi-Naeini, J. Hill, S. Meenehan, and O. Painter, “Optimized optomechanical crystal cavity with acoustic radiation shield,” (2012), arXiv:1206.2099.
- P. T. Rakich, C. Reinke, R. Camacho, P. Davids, and Z. Wang, “Giant enhancement of stimulated Brillouin scattering in the subwavelength limit,” Phys. Rev. X2, 011008 (2012). [CrossRef]
- F. Massel, T. T. Heikkilä, J.-M. Pirkkalainen, S. U. Cho, H. Saloniemi, P. J. Hakonen, and M. A. Sillanpää, “Microwave amplification with nanomechanical resonators,” Nature (London)480, 351–354 (2011). [CrossRef]
- D. E. Chang, A. H. Safavi-Naeini, M. Hafezi, and O. Painter, “Slowing and stopping light using an optomechanical crystal array,” New J. Phys.13, 023003 (2011). [CrossRef]
- K. Stannigel, P. Rabl, A. S. Sørensen, M. D. Lukin, and P. Zoller, “Optomechanical transducers for quantum-information processing,” Phys. Rev. A84, 042341 (2011). [CrossRef]
- A. H. Safavi-Naeini, T. P. M. Alegre, J. Chan, M. Eichenfield, M. Winger, Q. Lin, J. T. Hill, D. E. Chang, and O. Painter, “Electromagnetically induced transparency and slow light with optomechanics,” Nature (London)472, 69–73 (2011). [CrossRef]
- 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, 359–363 (2011). [CrossRef]
- J. Chan, T. P. M. Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Gröblacher, M. Aspelmeyer, and O. Painter, “Laser cooling of a nanomechanical oscillator into its quantum ground state,” Nature (London)478, 89–92 (2011). [CrossRef]
- A. H. Safavi-Naeini and O. Painter, “Proposal for an optomechanical traveling wave phonon-photon translator,” New J. Phys.13, 013017 (2011). [CrossRef]
- L. Tian and H. Wang, “Optical wavelength conversion of quantum states with optomechanics,” Phys. Rev. A82, 053806 (2010). [CrossRef]
- Y.-G. Roh, T. Tanabe, A. Shinya, H. Taniyama, E. Kuramochi, S. Matsuo, T. Sato, and M. Notomi, “Strong optomechanical interaction in a bilayer photonic crystal,” Phys. Rev. B81, 121101 (2010). [CrossRef]
- J. Sulkko, M. A. Sillanpää, P. Häkkinen, L. Lechner, M. Helle, A. Fefferman, J. Parpia, and P. J. Hakonen, “Strong gate coupling of high-Q nanomechanical resonators,” Nano Lett.10, 4884–4889 (2010). [CrossRef]
- M. T. Rakher, L. Ma, O. Slattery, X. Tang, and K. Srinivasan, “Quantum transduction of telecommunications-band single photons from a quantum dot by frequency upconversion,” Nat. Photonics4, 786–791 (2010). [CrossRef]
- Q. Quan, P. B. Deotare, and M. Loncar, “Photonic crystal nanobeam cavity strongly coupled to the feeding waveguide,” Appl. Phys.Lett.96, 203102 (2010). [CrossRef]
- S. Weis, R. Rivière, S. Deléglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, “Optomechanically induced transparency,” Science330, 1520–1523 (2010). [CrossRef] [PubMed]
- K. Y. Fong, W. H. P. Pernice, M. Li, and H. X. Tang, “High Q optomechanical resonators in silicon nitride nanophotonic circuits,” Appl. Phys. Lett.97, 073112 (2010). [CrossRef]
- J. Hwang, M. Pototschnig, R. Lettow, G. Zumofen, A. Renn, S. Goetzinger, and V. Sandoghdar, “A single-molecule optical transistor,” Nature460, 76–80 (2009). [CrossRef] [PubMed]
- R. H. Hadfield, “Single-photon detectors for optical quantum information applications,” Nat. Photonics3, 696–705 (2009). [CrossRef]
- Q. Lin, J. Rosenberg, X. Jiang, K. J. Vahala, and O. Painter, “Mechanical oscillation and cooling actuated by the optical gradient force,” Phys. Rev. Lett.103, 103601 (2009). [CrossRef] [PubMed]
- G. S. Wiederhecker, L. Chen, A. Gondarenko, and M. Lipson, “Controlling photonic structures using optical forces,” Nature462, 633–636 (2009). [CrossRef] [PubMed]
- M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, and O. Painter, “Optomechanical crystals,” Nature462, 78–82 (2009). [CrossRef] [PubMed]
- M. Eichenfield, R. Camacho, J. Chan, K. J. Vahala, and O. Painter, “A picogram- and nanometre-scale photonic-crystal optomechanical cavity,” Nature459, 550–555 (2009). [CrossRef] [PubMed]
- 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). [CrossRef]
- S. S. Verbridge, H. G. Craighead, and J. M. Parpia, “A megahertz nanomechanical resonator with room temperature quality factor over a million,” Appl. Phys. Lett.92, 013112 (2008). [CrossRef]
- H. J. Kimble, “The quantum internet,” Nature (London)453, 1023–1030 (2008). [CrossRef]
- C. A. Regal, J. D. Teufel, and K. W. Lehnert, “Measuring nanomechanical motion with a microwave cavity interferometer,” Nat. Phys.4, 555–560 (2008). [CrossRef]
- A. J. Shields, “Semiconductor quantum light sources,” Nat. Photonics1, 215–223 (2007). [CrossRef]
- P. E. Barclay, K. Srinivasan, O. Painter, B. Lev, and H. Mabuchi, “Integration of fiber-coupled high-Q SiNx microdisks with magnetostatic atom chips,” Appl. Phys. Lett.89, 131108 (2006). [CrossRef]
- S. G. Johnson, M. Ibanescu, M. A. Skorobogatiy, O. Weisberg, J. D. Joannopoulos, and Y. Fink, “Perturbation theory for Maxwell’s equations with shifting material boundaries,” Phys. Rev. E65, 066611 (2002). [CrossRef]
- A. H. Safavi-Naeini, T. P. M. Alegre, M. Winger, and O. Painter, “Optomechanics in an ultrahigh-Q two-dimensional photonic crystal cavity,” Appl. Phys. Lett.97, 181106 (2010).
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