Advertisement

Quantum correlation and squeezing dynamics of a dissipative nonlinear optomechanical oscillator: Heisenberg-Langevin approach

  • Mohammad Javad Salehi
  • Hamid Reza BaghshahiEmail author
  • Sayyed Yahya Mirafzali
Regular Article
  • 34 Downloads

Abstract.

In this paper, an optomechanical cavity that is quadratically coupled to the cavity field and formed by a micropillar with Bragg reflectors and a thin dielectric membrane, is studied. In addition, it is considered that this interaction occurs in the presence of Kerr medium, external laser field and damping effects (for cavity field and moving Bragg reflector). Using the Heisenberg-Langevin approach, the dynamics of quantum correlation functions (for cavity field and moveable reflector) and squeezing parameters for quadratures of the cavity field are investigated. In each case, the influences of optomechanical coupling, detuning parameter, thermal mean number of cavity photons and phonons, damping parameters and Kerr medium on the above nonclassicality features are analyzed in detail. It is illustrated that the amount of the above-mentioned physical phenomena can be controlled by appropriately choosing the evolved parameters. Also, we show that photon and phonon blockades emerge in some special cases.

References

  1. 1.
    K.C. Schwab, M.L. Roukes, Phys. Today 58, 36 (2005)CrossRefGoogle Scholar
  2. 2.
    J.-Q. Liao, L. Tian, Phys. Rev. Lett. 116, 163602 (2016)ADSCrossRefGoogle Scholar
  3. 3.
    T. Purdy, P.-L. Yu, R. Peterson, N. Kampel, C. Regal, Phys. Rev. X 3, 031012 (2013)Google Scholar
  4. 4.
    A. Kronwald, F. Marquardt, A.A. Clerk, New J. Phys. 16, 063058 (2014)ADSCrossRefGoogle Scholar
  5. 5.
    J.M. Dobrindt, I. Wilson-Rae, T.J. Kippenberg, Phys. Rev. Lett. 101, 263602 (2008)ADSCrossRefGoogle Scholar
  6. 6.
    S. Gröblacher, K. Hammerer, M.R. Vanner, M. Aspelmeyer, Nature 460, 724 (2009)ADSCrossRefGoogle Scholar
  7. 7.
    J.-S. Zhang, W. Zeng, A.-X. Chen, Quantum Inf. Process. 16, 163 (2017)ADSCrossRefGoogle Scholar
  8. 8.
    A. Chen, W. Nie, L. Li, W. Zeng, Q. Liao, X. Xiao, Opt. Commun. 403, 97 (2017)ADSCrossRefGoogle Scholar
  9. 9.
    Z.-q. Yin, W. Yang, L. Sun, L. Duan, Phys. Rev. A 91, 012333 (2015)ADSCrossRefGoogle Scholar
  10. 10.
    D.-Y. Wang, C.-H. Bai, H.-F. Wang, A.-D. Zhu, S. Zhang, Sci. Rep. 6, 38559 (2016)ADSCrossRefGoogle Scholar
  11. 11.
    S.K. Singh, S. Muniandy, Int. J. Theor. Phys. 55, 287 (2016)CrossRefGoogle Scholar
  12. 12.
    J.H. Lee, H. Seok, Phys. Rev. A 97, 013805 (2018)ADSCrossRefGoogle Scholar
  13. 13.
    R. Leijssen, G.R. La Gala, L. Freisem, J.T. Muhonen, E. Verhagen, Nat. Commun. 8, ncomms16024 (2017)CrossRefGoogle Scholar
  14. 14.
    O. Kyriienko, T.C.H. Liew, I.A. Shelykh, Phys. Rev. Lett. 112, 076402 (2014)ADSCrossRefGoogle Scholar
  15. 15.
    T. Kumar, A.B. Bhattacherjee et al., Phys. Rev. A 81, 013835 (2010)ADSCrossRefGoogle Scholar
  16. 16.
    S. Shahidani, M. Naderi, M. Soltanolkotabi, S. Barzanjeh, J. Opt. Soc. Am. B 31, 1087 (2014)ADSCrossRefGoogle Scholar
  17. 17.
    M. Fox, Quantum Optics: An Introduction, Vol. 15 (Oxford University Press, Oxford, 2006)Google Scholar
  18. 18.
    L. Mandel, Opt. Lett. 4, 205 (1979)ADSCrossRefGoogle Scholar
  19. 19.
    A. Imamolu, H. Schmidt, G. Woods, M. Deutsch, Phys. Rev. Lett. 79, 1467 (1997)ADSCrossRefGoogle Scholar
  20. 20.
    M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, 2000)Google Scholar
  21. 21.
    N. Gisin, G. Ribordy, W. Tittel, H. Zbinden, Rev. Mod. Phys. 74, 145 (2002)ADSCrossRefGoogle Scholar
  22. 22.
    X.-B. Wang, T. Hiroshima, A. Tomita, M. Hayashi, Phys. Rep. 448, 1 (2007)ADSMathSciNetCrossRefGoogle Scholar
  23. 23.
    M.O. Scully, M.S. Zubairy, Quantum Optics (Cambridge University Press, 1999)Google Scholar
  24. 24.
    R. Schnabel, Phys. Rep. 684, 1 (2017)ADSMathSciNetCrossRefGoogle Scholar
  25. 25.
    E. Oelker, G. Mansell, M. Tse, J. Miller, F. Matichard, L. Barsotti, P. Fritschel, D. McClelland, M. Evans, N. Mavalvala, Optica 3, 682 (2016)CrossRefGoogle Scholar
  26. 26.
    H.P. Yuen, Phys. Rev. A 13, 2226 (1976)ADSCrossRefGoogle Scholar
  27. 27.
    C. Gardiner, Phys. Rev. Lett. 56, 1917 (1986)ADSCrossRefGoogle Scholar
  28. 28.
    H. Carmichael, A. Lane, D. Walls, J. Mod. Opt. 34, 821 (1987)ADSCrossRefGoogle Scholar
  29. 29.
    A. Fainstein, N.D. Lanzillotti-Kimura, B. Jusserand, B. Perrin, Phys. Rev. Lett. 110, 037403 (2013)ADSCrossRefGoogle Scholar
  30. 30.
    J. Thompson, B. Zwickl, A. Jayich, F. Marquardt, S. Girvin, J. Harris, Nature 452, 72 (2008)ADSCrossRefGoogle Scholar
  31. 31.
    S. Singh, C.R. Ooi, J. Opt. Soc. Am. B 31, 2390 (2014)ADSCrossRefGoogle Scholar
  32. 32.
    X.-W. Xu, Y.-J. Li, Y.-X. Liu, Phys. Rev. A 87, 025803 (2013)ADSCrossRefGoogle Scholar
  33. 33.
    X. Wang, A. Miranowicz, H.-R. Li, F. Nori, Phys. Rev. A 93, 063861 (2016)ADSCrossRefGoogle Scholar
  34. 34.
    S. Mancini, P. Tombesi, Phys. Rev. Lett. 49, 4055 (1994)ADSGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Physics, Faculty of ScienceVali-e-Asr University of RafsanjanRafsanjanIran

Personalised recommendations