Temporal Dynamics and Nonclassical Photon Statistics of Quadratically Coupled Optomechanical Systems

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• 作者：Shailendra Kumar Singh ; S. V. Muniandy
• 关键词：Cavity Optomechanics ; Cavity QED ; Heisenberg Langevin formalism
• 刊名：International Journal of Theoretical Physics
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：55
• 期：1
• 页码：287-301
• 全文大小：1,873 KB
• 参考文献：1.Haroche, S., Raimond, J.M.: Radiative Properties of Rydberg States in Resonant Cavities. Adv. Atom. Mol. Phys. 20, 347 (1985)ADS CrossRef
  2.Meschede, D., Walther, H., Muller, G.: One-atom Maser. Phys. Rev. Lett. 54, 551 (1985)ADS CrossRef
  3.Jaynes, E.T., Cummings, F.W.: Comparison of Quantum and Semiclassical Radiation Theories with Application to the Beam Maser. IEEE Proc. 51, 89 (1963)CrossRef
  4.Yablonovitch, E.: Inhibited Spontaneous Emission in Solid-State Physics and Electronics. Phys. Rev. Lett. 58, 2059 (1987)ADS CrossRef
  5.Gerard, J.M., Barrier, D., Marzin, J.Y., Kuszelewicz, R., Manin, L., Costard, E., Thierry- Mieg, V., Rivera, T.: Quantum Boxes a Active Probes for Photonic microstructures the Pillar Microcavity Case. Appl. Phys. Lett. 69, 449 (1996)ADS CrossRef
  6.Lin, C.C., Wu, M.-C., Shiau, B.-W., Chen, Y.-H., Yu, I.A., Chen, Y.-F., Chen, Y.-C.: Enhanced All-optical Switching with double Slow Light Pulses. Phys. Rev. A 86, 063836 (2012)ADS CrossRef
  7.Hwang, J., Pototschnig, M., Lettow, R., Zumofen, G., Renn, A., Gotzinger, S., Sandoghdar, V.: A single-molecule Optical Transistor. Nature 460, 76 (2009)ADS CrossRef
  8.Dudin, Y.O., Kuzmich, A.: Strongly Interacting Rydberg Excitations of a Cold Atomic Gas. Science 336, 887 (2012)ADS CrossRef
  9.Venkataraman, V., Saha, K., Londereo, P., Gaeta, A.L.: Few-Photon all-Optical Modulation in a Photonic Band-Gap Fiber. Phys. Rev. Lett. 107, 193902 (2011)ADS CrossRef
  10.Kolchin, P., Oulton, R.F., Zhang, X.: Nonlinear Quantum Optics ina Waveguide: Distinct Single Photons Strongly Interacting at the Single Atom Level. Phys. Rev. Lett. 106, 113601 (2011)ADS CrossRef
  11.Kippenberg, T.J., Vahala, K.J.: Cavity Optomechanics: Back- Action at the Mesoscale. Science 321, 1172 (2008)ADS CrossRef
  12.Gröblacher, S., Hammerer, K., Vanner, M.R., Aspelmeyer, M.: Observation of Strong Coupling Between a Micromechanical Resonator and an Optical Cavity Field. Nature 460, 724 (2009)ADS CrossRef
  13.Wilson-Rae, I., Nooshi, N., Zwerger, W., Kippenberg, T.J.: Theory of Ground State Cooling of a Mechanical Oscillator Using Dynamical Backaction. Phys. Rev. Lett. 99, 093901 (2007)ADS CrossRef
  14.Thompson, J.D., Zwickl, B.M., Jayich, A.M., Marquardt, F., Girvin, S.M.: Strong Dispersive Coupling of a High-finess Cavity to a Micromechanical Membrane. Nature 452, 72 (2008)ADS CrossRef
  15.Aspelmeyer, M., Gröblacher, S., Hammerer, K., Kiesel, N.: Quantum Optomechanics - throwing a Glance. JOSA B 27, A189–A197 (2010)ADS CrossRef
  16.Verhagen, E., Deleglise, S., Weis, S., Schliesser, A., Kippenberg, T.J.: Quantum-coherent Coupling of a Mechanical Oscillator to an Optical Cavity Mode. Nature 482, 63 (2012)ADS CrossRef
  17.Chan, J., Mayer Alegre, T. P., Safavi-Naeini, A. H., Hill, J.T., Krause, A., Gröblacher, S., Aspelmeyer, M.: Laser Cooling of a Nanomechanical Oscillator into its Quantum Ground State. Nature 478, 89 (2011)ADS CrossRef
  18.Bose, S., Jacobs, K., Knight, P.L.: Scheme to Probe the Decoherence of a Macroscopic Object. Phys. Rev. A 59, 3204 (1999)ADS CrossRef
  19.Santamore, D.H., Doherty, A.C., Cross, M.C.: Quantum Nondemolition Measurement of Fock States of Mesoscopic Mechanical Oscillators. Phys. Rev. B 70, 144301 (2004)ADS CrossRef
  20.Hohberger, C., Karrai, K.: Cavity Cooling of a Microlever. Nature 432, 1002 (2004)ADS CrossRef
  21.Arcizet, O., Cohadon, P.F., Briant, T., Pinard, M., Heidmann, A.: Radiation- pressure Cooling and Optomechanical Instability of a Micromirror. Nature 444, 71 (2006)ADS CrossRef
  22.Martin, I., Zurek, W.H.: Measureent of Energy Eigenstates by a Slow Detector. Phys. Rev. Lett. 98, 120401 (2007)ADS CrossRef
  23.Jacobs, K., Lougovski, P., Blencowe, M.: Continous Measurement of the Energy Eigenstates of a Nanomechanical Resonator without a Nondemolition Probe. Phys. Rev. Lett. 98, 147201 (2007)ADS CrossRef
  24.Thompson, J.D., Zwckl, B.M., Jayich, A.M., Marquardt, F., Girvin, S.M., Harris, J.G.E.: Strong Dispersive Coupling of a High-finess Cavity to a Micromechanical Membrane. Nature 452, 72 (2008)ADS CrossRef
  25.Sankay, J.C., Yang, C., Zwickl, B.M., Jayich, A.M., Harris, J.G.E.: Strong and Tunable Nonlinear Optomechanical Coupling in a Low-loss System. Nat. Phys. 6, 707 (2010)CrossRef
  26.Liao, J.-Q., Nori, F.: Photon Blockade in Quadratically Coupled Optomechanical Systems. Phys. Rev. A 88, 023853 (2013)ADS CrossRef
  27.Scully, M.O., Suhail Zubairy, M.: Quantum Optics. Cambridge University Press (1997)
  28.Raymond Ooi, C.H., Sun, Q., Suhail Zubairy, M., Scully, M.O.: Correlation of Photon Pairs from the Double Raman Amplifier: Generalized Analytical Quantum Langevin Theory. Phys. Rev. A 75, 013820 (2007)ADS CrossRef
  29.Singh, S.K., Raymond Ooi, C.H.: Quantum Correlations of Quadratic Optomechanical Oscillator. JOSA B 31, 2390–2398 (2014)ADS CrossRef
  30.Anglin, J.R., Vardi, A.: Dynamics of a Two-mode Bose-Einstein Condensate Beyond Mean-field Approximation. Phys. Rev. A 64, 013605 (2001)ADS CrossRef
  
• 作者单位：Shailendra Kumar Singh (1)
  S. V. Muniandy (2)
  
  1. Institute of Nuclear Sciences, Hacettepe University, 06800, Ankara, Turkey
  2. Center of Theoretical and Computational Physics, Department of Physics, University of Malaya, 50603, Kuala Lumpur, Malaysia
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Quantum Physics
  Elementary Particles and Quantum Field Theory
  Mathematical and Computational Physics
  
• 出版者：Springer Netherlands
• ISSN：1572-9575

文摘

Quantum optomechanical system serves as an interface for coupling between photons and phonons due to mechanical oscillations. We used the Heisenberg-Langevin approach under Markovian white noise approximation to study a quadratically coupled optomechanical system which contains a thin dielectric membrane quadratically coupled to the cavity field. A decorrelation method is employed to solve for a larger number of coupled equations. Transient mean numbers of cavity photons and phonons that provide dynamical behaviour are computed for different coupling regime. We have also obtained the two-boson second-order correlation functions for the cavity field, membrane oscillator and their cross correlations that provide nonclassical properties governed by quadratic optomechanical system. Keywords Cavity Optomechanics Cavity QED Heisenberg Langevin formalism