Design Of Dispersive Optomechanical Coupling And Cooling . PDF

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Design of dispersive optomechanical couplingand cooling in ultrahigh-Q/V slot-type photoniccrystal cavitiesYing Li,* Jiangjun Zheng, Jie Gao, Jing Shu, Mehmet Sirin Aras, and Chee Wei WongOptical Nanostructures Laboratory, Center for Integrated Science and Engineering, Solid-State Science andEngineering, and Mechanical Engineering, Columbia University, New York, New York 10027, USA*[email protected]: We describe the strong optomechanical dynamical interactions inultrahigh-Q/V slot-type photonic crystal cavities. The dispersive coupling isbased on mode-gap photonic crystal cavities with light localization in an airmode with 0.02(λ/n)3 modal volumes while preserving optical cavity Q upto 5 106. The mechanical mode is modeled to have fundamental resonanceΩm/2π of 460 MHz and a quality factor Qm estimated at 12,000. For thisslot-type optomechanical cavity, the dispersive coupling gom is numericallycomputed at up to 940 GHz/nm (Lom of 202 nm) for the fundamentaloptomechanical mode. Dynamical parametric oscillations for both coolingand amplification, in the resolved and unresolved sideband limit, areexamined numerically, along with the displacement spectral density andcooling rates for various operating parameters. 2010 Optical Society of AmericaOCIS codes: (230.5298) Photonic crystals; (230.5750) Resonators; (220.4880) Optomechanics;(230.4685) Optical microelectromechanical devices.References and links1.2.3.4.5.6.7.8.9.10.11.12.13.14.15.16.17.P. Meystre, and M. Sargent III, “Mechanical Effects of Light,” in Elements of Quantum Optics (Springer, 2007),Chapter 6.S. Chu, “Laser manipulation of atoms and particles,” Science 253(5022), 861–866 (1991).F. Marquardt, and S. M. Girvin, “Optomechanics,” Physics 2, 40 (2009).T. J. Kippenberg, and K. J. Vahala, “Cavity opto-mechanics,” Opt. Express 15(25), 17172–17205 (2007).T. J. Kippenberg, and K. J. Vahala, “Cavity optomechanics: back-action at the mesoscale,” Science 321(5893),1172–1176 (2008).I. Favero, and K. Karrai, “Optomechanics of deformable optical cavities,” Nat. Photonics 3(4), 201–205 (2009).D. Van Thourhout, and J. Roels, “Optomechanical Device actuation through the optical gradient force,” Nat.Photonics 4(4), 211–217 (2010).C. K. Law, “Interaction between a moving mirror and radiation pressure: A Hamiltonian formulation,” Phys.Rev. A 51(3), 2537–2541 (1995).S. Mancini, and P. Tombesi, “Quantum noise reduction by radiation pressure,” Phys. Rev. A 49(5), 4055–4065(1994).I. Wilson-Rae, P. Zoller, and A. Imamoğlu, “Laser cooling of a nanomechanical resonator mode to its quantumground state,” Phys. Rev. Lett. 92(7), 075507 (2004).T. J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, and K. J. Vahala, “Analysis of radiation-pressure inducedmechanical oscillation of an optical microcavity,” Phys. Rev. Lett. 95(3), 033901 (2005).H. Rokhsari, T. J. Kippenberg, T. Carmon, and K. J. Vahala, “Radiation-pressure-driven micro-mechanicaloscillator,” Opt. Express 13(14), 5293–5301 (2005).T. Carmon, H. Rokhsari, L. Yang, T. J. Kippenberg, and K. J. Vahala, “Temporal behavior of radiation-pressureinduced vibrations of an optical microcavity phonon mode,” Phys. Rev. Lett. 94(22), 223902 (2005).D. Kleckner, and D. Bouwmeester, “Sub-kelvin optical cooling of a micromechanical resonator,” Nature444(7115), 75–78 (2006).O. Arcizet, P. F. Cohadon, T. Briant, M. Pinard, and A. Heidmann, “Radiation-pressure cooling andoptomechanical instability of a micromirror,” Nature 444(7115), 71–74 (2006).S. Gigan, H. R. Böhm, M. Paternostro, F. Blaser, G. Langer, J. B. Hertzberg, K. C. Schwab, D. Bäuerle, M.Aspelmeyer, and A. Zeilinger, “Self-cooling of a micromirror by radiation pressure,” Nature 444(7115), 67–70(2006).M. Eichenfield, C. Michael, R. Perahia, and O. Painter, “Actuation of Micro-Optomechanical Systems ViaCavity Enhanced Optical Dipole Forces,” Nat. Photonics 1(7), 416–422 (2007).#133205 - 15.00 USD(C) 2010 OSAReceived 10 Aug 2010; revised 10 Oct 2010; accepted 14 Oct 2010; published 28 Oct 20108 November 2010 / Vol. 18, No. 23 / OPTICS EXPRESS 23844

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Design of dispersive optomechanical coupling and cooling in ultrahigh-Q/V slot-type photonic crystal cavities . Ying Li,* Jiangjun Zheng, Jie Gao, Jing Shu, Mehmet Sirin Aras, and Chee Wei Wong