Auxiliary cavity enhanced mode splitting and ground-state cooling of mechanical resonator in hybrid optomechanical system

  • Hua-Jun ChenEmail author
  • Jian-Yong Yang
  • Hong-Wei Wu
  • Xue-Chao Li
Regular Article


We theoretically demonstrate the mode splitting and the ground-state cooling of optomechanical resonator in a hybrid optomechanical system, where one optomechanical cavity with high cavity dissipation is coupled to an auxiliary optical cavity with high quality factor. The fluctuation spectrum of the resonator presents the behavior of mode splitting with controlling the parameters, such as the cavity-pump-field detuning, the cavity-cavity coupling strength J, the pump power P, and the decay rate ratio δ of the two cavities. In addition, the resonator can also reach the ground-state cooling under different parametric regimes. Our study may provide a further insight into cooling macroscopic objects in a hybrid optomechanical systems.

Graphical abstract


Quantum Optics 


  1. 1.
    M. Aspelmeyer, T.J. Kippenberg, F. Marquardt, Rev. Mod. Phys. 86, 1391 (2014)ADSCrossRefGoogle Scholar
  2. 2.
    I.S. Grudinin, H. Lee, O. Painter, K.J. Vahala, Phys. Rev. Lett. 104, 083901 (2010)ADSCrossRefGoogle Scholar
  3. 3.
    H. Jing, S.K. Özdemir, X.Y. Lü, J. Zhang, L. Yang, F. Nori, Phys. Rev. Lett. 113, 053604 (2014)ADSCrossRefGoogle Scholar
  4. 4.
    J.J. Li, K.D. Zhu, Phys. Rep. 525, 223 (2013)ADSMathSciNetCrossRefGoogle Scholar
  5. 5.
    E.E. Wollman, C.U. Lei, A.J. Weinstein, J. Suh, A. Kronwald, F. Marquardt, A.A. Clerk, K.C. Schwab, Science 349, 952 (2015)ADSMathSciNetCrossRefGoogle Scholar
  6. 6.
    D.W.C. Brooks, T. Botter, S. Schreppler, T.P. Purdy, N. Brahms, D.M. Stamper-Kurn, Nature 488, 476 (2012)ADSCrossRefGoogle Scholar
  7. 7.
    A.H. Safavi-Naeini, S. Gröblacher, J.T. Hill, J. Chan, M. Aspelmeyer, O. Painter, Nature 500, 185 (2013)ADSCrossRefGoogle Scholar
  8. 8.
    T.P. Purdy, P.L. Yu, R.W. Peterson, N.S. Kampel, C.A. Regal, Phys. Rev. X 3, 031012 (2013)Google Scholar
  9. 9.
    A.D. O’Connell, M. Hofheinz, M. Ansmann, R.C. Bialczak, M. Lenander, E. Lucero, M. Neeley, D. Sank, H. Wang, M. Weides, J. Wenner, J.M. Martinis, A.N. Cleland, Nature 464, 697 (2010)ADSCrossRefGoogle Scholar
  10. 10.
    J. Chan, T.P.M. Alegre, A.H. Safavi-Naeini, J.T. Hill, A. Krause, S. Groblacher, M. Aspelmeyer, O. Painter, Nature 478, 89 (2011)ADSCrossRefGoogle Scholar
  11. 11.
    J.D. Teufel, D. Donner, T. Li, J.W. Harlow, M.S. Allman, K. Cicak, A.J. Sirois, J.D. Whittaker, K.W. Lehnert, R.W. Simmonds, Nature 475, 359 (2011)ADSCrossRefGoogle Scholar
  12. 12.
    J.M. Dobrindt, I. Wilson-Rae, T.J. Kippenberg, Phys. Rev. Lett. 101, 263602 (2008)ADSCrossRefGoogle Scholar
  13. 13.
    S. Gröblacher, K. Hammerer, M.R. Vanner, M. Aspelmeyer, Nature 460, 724 (2009)ADSCrossRefGoogle Scholar
  14. 14.
    J.D. Teufel, D. Li, M.S. Allman, K. Cicak, A.J. Sirois, J.D. Whittaker, R.W. Simmonds, Nature 471, 204 (2011)ADSCrossRefGoogle Scholar
  15. 15.
    S. Huang, G.S. Agarwal, Phys. Rev. A 80, 033807 (2009)ADSCrossRefGoogle Scholar
  16. 16.
    M. Rossi, N. Kralj, S. Zippilli, R. Natali, A. Borrielli, G. Pandraud, E. Serra, G.D. Giuseppe, D. Vitali, Phys. Rev. Lett. 120, 073601 (2018)ADSCrossRefGoogle Scholar
  17. 17.
    K. Stannigel, P. Rabl, A.S. Sorensen, P. Zoller, M.D. Lukin, Phys. Rev. Lett. 105, 220501 (2010)ADSCrossRefGoogle Scholar
  18. 18.
    V. Fiore, Y. Yang, M.C. Kuzyk, R. Barbour, L. Tian, H. Wang, Phys. Rev. Lett. 107, 133601 (2011)ADSCrossRefGoogle Scholar
  19. 19.
    C. Dong, V. Fiore, M.C. Kuzyk, H. Wang, Science 338, 1609 (2012)ADSCrossRefGoogle Scholar
  20. 20.
    S. Rips, M.J. Hartmann, Phys. Rev. Lett. 110, 120503 (2013)ADSCrossRefGoogle Scholar
  21. 21.
    I. Wilson-Rae, N. Nooshi, W. Zwerger, T.J. Kippenberg, Phys. Rev. Lett. 99, 093901 (2007)ADSCrossRefGoogle Scholar
  22. 22.
    F. Marquardt, J.P. Chen, A.A. Clerk, S.M. Girvin, Phys. Rev. Lett. 99, 093902 (2007)ADSCrossRefGoogle Scholar
  23. 23.
    C. Genes, D. Vitali, P. Tombesi, S. Gigan, M. Aspelmeyer, Phys. Rev. A 77, 033804 (2008)ADSCrossRefGoogle Scholar
  24. 24.
    Y.-C. Liu, R.-S. Liu, C.-H. Dong, Y. Li, Q. Gong, Y.-F. Xiao, Phys. Rev. A 91, 013824 (2015)ADSCrossRefGoogle Scholar
  25. 25.
    A. Xuereb, R. Schnabel, K. Hammerer, Phys. Rev. Lett. 107, 213604 (2011)ADSCrossRefGoogle Scholar
  26. 26.
    M.-Y. Yan, H.-K. Li, Y.-C. Liu, W.-L. Jin, Y.-F. Xiao, Phys. Rev. A 88, 023802 (2013)ADSCrossRefGoogle Scholar
  27. 27.
    T. Ojanen, K. Børkje, Phys. Rev. A 90, 013824 (2014)ADSCrossRefGoogle Scholar
  28. 28.
    Y. Guo, K. Li, W. Nie, Y. Li, Phys. Rev. A 90, 053841 (2014)ADSCrossRefGoogle Scholar
  29. 29.
    F. Bariani, S. Singh, L.F. Buchmann, M. Vengalattore, P. Meystre, Phys. Rev. A 90, 033838 (2014)ADSCrossRefGoogle Scholar
  30. 30.
    G. Ranjit, C. Montoya, A.A. Geraci, Phys. Rev. A 91, 013416 (2015)ADSCrossRefGoogle Scholar
  31. 31.
    W.-J. Gu, G.-X. Li, Phys. Rev. A 87, 025804 (2013)ADSCrossRefGoogle Scholar
  32. 32.
    Y.-C. Liu, Y.-F. Shen, Q. Gong, Y.-F. Xiao, Phys. Rev. A 89, 053821 (2014)ADSCrossRefGoogle Scholar
  33. 33.
    B. Peng, S.K. Özdemir, F. Lei, F. Monifi, M. Gianfreda, G.L. Long, S. Fan, F. Nori, C.M. Bender, L. Yang, Nat. Phys. 10, 394 (2014)CrossRefGoogle Scholar
  34. 34.
    Y. Li, Y.-D. Wang, F. Xue, C. Bruder, Phys. Rev. B 78, 134301 (2008)ADSCrossRefGoogle Scholar
  35. 35.
    M. Paternostro, S. Gigan, M.S. Kim, F. Blaser, H.R. Böhm, M. Aspelmeyer, New J. Phys. 8, 107 (2006)ADSCrossRefGoogle Scholar
  36. 36.
    M.A. Abbassi, M.K. Employing, J. Opt. Soc. Am. B 35, 1563 (2018)ADSCrossRefGoogle Scholar
  37. 37.
    Y.-C. Liu, Y.-F. Xiao, X. Luan, Q. Gong, C.W. Wong, Phys. Rev. A 91, 033818 (2015)ADSCrossRefGoogle Scholar
  38. 38.
    J.-S. Feng, L. Tan, H.-Q. Gu, W.-M. Liu, Phys. Rev. A 96, 063818 (2017)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Hua-Jun Chen
    • 1
    Email author
  • Jian-Yong Yang
    • 1
  • Hong-Wei Wu
    • 1
  • Xue-Chao Li
    • 1
  1. 1.School of Mechanics and Photoelectric Physics, Anhui University of Science and TechnologyHuainan, AnhuiP.R. China

Personalised recommendations