Advertisement

Control of electromagnetically induced transparency and Fano resonances in a hybrid optomechanical system

  • 43 Accesses

Abstract

We study the control of electromagnetically induced transparency and Fano resonances in a hybrid optomechanical system based on Bose-Einstein condensate trapped inside a high finesse Fabry Pérot cavity coupled with two charged nanomechanical resonators. The system is driven by a pump field and probed by a probe field. The nanomechanical resonators are connected to an external bias voltage V1(−V2) and generated electrostatic Coulomb coupling gc. In this study, we show that the electromagnetically induced transparency can be controlled by the s-wave scattering frequency ωsw as well as by the coupling frequencies of the system. Further, studying the effect of Bogoliubov mode, the transparency window splits from double to triple windows. At strong atom-atom interaction, we explain the asymmetric windows’ and explain their physical understanding.

Graphical abstract

This is a preview of subscription content, log in to check access.

Access options

Buy single article

Instant unlimited access to the full article PDF.

US$ 39.95

Price includes VAT for USA

Subscribe to journal

Immediate online access to all issues from 2019. Subscription will auto renew annually.

US$ 199

This is the net price. Taxes to be calculated in checkout.

References

  1. 1.

    T.J. Kippenberg, K.J. Vahala, Opt. Express 15, 17172 (2007).

  2. 2.

    P. Treutlein, D. Hunger, S. Camerer, T.W. Hänsch, J. Reichel, Phys. Rev. Lett. 99, 140403 (2007).

  3. 3.

    F. Brennecke, S. Ritter, T. Donner, T. Esslinger, Science 322, 235 (2008).

  4. 4.

    K. Hammerer, M. Wallquist, C. Genes, M. Ludwig, F. Marquardt, P. Treutlein, P. Zoller, J. Ye, H.J. Kimble, Phys. Rev. Lett. 103, 063005 (2009).

  5. 5.

    H. Ritsch, P. Domokos, F. Brennecke, T. Esslinger, Rev. Mod. Phys. 85, 553 (2013).

  6. 6.

    P.C. Ma, J.Q. Zhang, Y. Xiao, M. Feng, Z.M. Zhang, Phys. Rev. A 90, 043825 (2014).

  7. 7.

    D. Vitali, S. Gigan, A. Ferreira, H.R. Böhm, P. Tombesi, A. Guerreiro, V. Vedral, A. Zeilinger, M. Aspelmeyer, Phys. Rev. Lett. 98, 030405 (2007).

  8. 8.

    M. Paternostro, D. Vitali, S. Gigan, M.S. Kim, C. Brukner, J. Eisert, M. Aspelmeyer, Phys. Rev. Lett. 99, 250401 (2007).

  9. 9.

    M.J. Hartmann, M.B. Plenio, Phys. Rev. Lett. 101, 200503 (2008).

  10. 10.

    J.D. Teufel, T. Donner, D. Li, J.W. Harlow, M.S. Allman, K. Cicak, A.J. Sirois, J.D. Whittaker, K. Lehnert, R. Simmonds, Nature (London) 475, 359 (2011).

  11. 11.

    J. Chan, T.P.M. Alegre, A.H. Safavi-Naeini, J.T. Hill, A. Krause, S. Groblacher, M. Aspelmeyer, O. Painter, Nature (London) 478, 89 (2011).

  12. 12.

    M. Bhattacharya, P. Meystre, Phys. Rev. Lett. 99, 073601 (2007).

  13. 13.

    P. Rabl, Phys. Rev. Lett. 107, 063601 (2011).

  14. 14.

    D. Tarhan, S. Huang, O.E. Mustecaplioglu, Phys. Rev. A 87, 013824 (2013).

  15. 15.

    F. Saif, K. Ullah, S. Watanabe, AIP Conf. Proc. 2067, 020002 (2019).

  16. 16.

    A.H. Safavi-Naeini, T.P.M. Alegre, J. Chan, M. Eichenfield, M. Winger, Q. Lin, J.T. Hill, D.E. Chang, O. Painter, Nature (London) 472, 69 (2011).

  17. 17.

    M.R. Vanner, I. Pikovski, M.S. Kim, Ann. Phys. (Berlin) 527, 15 (2015).

  18. 18.

    M. Abdi, M.J. Hartmann, New J. Phys. 17, 013056 (2015).

  19. 19.

    S. Huang, J. Phys. B: At. Mol. Opt. Phys. 47, 055504 (2014).

  20. 20.

    S.E. Harris, J.E. Field, A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1990).

  21. 21.

    G.S. Agarwal, S. Huang, Phys. Rev. A 81, 041803 (2010).

  22. 22.

    S. Weis, R. Riviere, S. Deleglise, E. Gavartin, O. Arcizet, A. Schliesser, T.J. Kippenberg, Science 330, 1520 (2010).

  23. 23.

    Q. Lin, J. Rosenberg, D. Chang, R. Camacho, M. Eichenfield, J.K. Vahala, O. Painter, Nature Photon. 4, 236 (2010).

  24. 24.

    D.J. Teufel, D. Li, S.M. Allman, K. Cicak, J.A. Sirois, D.J. Whittaker, W.R. Simmonds, Nature 471, 204 (2011).

  25. 25.

    F. Massel, S.U. Cho, J.M. Pirkkalainen, J.P. Hakonen, T.T. Heikkilä, A.M. Sillanpää, Nature Commun. 3, 987 (2012).

  26. 26.

    P.C. Ma, L.L. Yan, G.B. Chen, X.W. Li, Y.B. Zhan, Laser Phys. Lett. 13, 125301 (2016).

  27. 27.

    K. Ullah, H. Jing, F. Saif, Phys. Rev. A 97, 033812 (2018).

  28. 28.

    Y. Jiao, H. Lü, J. Qian, Y. Li, H. Jing, New J. Phys. 18, 083034 (2016).

  29. 29.

    S. Huang, G.S. Agarwal, Phys. Rev. A 83, 023823 (2011).

  30. 30.

    B.P. Hou, L.F. Wei, S.J. Wang, Phys. Rev. A 92, 033829 (2015).

  31. 31.

    C. Jiang, H. Liu, Y. Cui, X. Li, G. Chen, B. Chen, Opt. Express 21, 12165 (2013).

  32. 32.

    L.G. Si, H. Xiong, M. Suhail Zubairy, Y. Wu, Phys. Rev. A 95, 033803 (2017).

  33. 33.

    J.L. Ma, L. Tan, Q. Li, H.Q. Gu, W.M. Liu, Sci. Rep. 8, 14367 (2018).

  34. 34.

    U. Fano, Phys. Rev. 124, 1866 (1961).

  35. 35.

    A.E. Miroshnichenko, S. Flach, Y.S. Kivshar, Rev. Mod. Phys. 82, 2257 (2010).

  36. 36.

    M.J. Akram, F. Ghafoor, M.M. Khan, F. Saif, Phys. Rev. A 95, 023810 (2017).

  37. 37.

    B. Gallinet, O.J.F. Martin, ACS Nano 5, 8999 (2011).

  38. 38.

    Y. Francescato, V. Giannini, S.A. Maier, ACS Nano 6, 1830 (2012).

  39. 39.

    B.H. Bransden, C.C.J. Joachain, in Physics of Atoms and Molecules. 2nd ed., (Addison-Wesley, New York, 2003), Chap. 4.

  40. 40.

    K. Qu, G.S. Agarwal, Phys. Rev. A 87, 063813 (2013).

  41. 41.

    S. Zanotto, A. Tredicucci, Sci. Rep. 6, 24592 (2016).

  42. 42.

    P. Horak, S.M. Barnett, H. Ritsch, Phys. Rev. A 61, 033609 (2000).

  43. 43.

    C. Maschler, H. Ritsch, Phys. Rev. Lett. 95, 260401 (2005).

  44. 44.

    F. Brennecke, T. Donner, S. Ritter, T. Bourdel, M. Köhl, T. Esslinger, Nature (London) 450, 268 (2007).

  45. 45.

    K. Zhang, W. Chen, M. Bhattacharya, P. Meystre, Phys. Rev. A 81, 013802 (2010).

  46. 46.

    P. Domokos, P. Horak, H. Ritsch, J. Phys. B: At. Mol. Opt. Phys. 34, 187 (2001).

  47. 47.

    C. Maschler, H. Ritsch, Opt. Commun. 243, 145 (2004).

  48. 48.

    D. Nagy, P. Domokos, A. Vukics, H. Ritsch, Eur. Phys. J. D 55, 659 (2009).

  49. 49.

    L. Tian, P. Zoller, Phys. Rev. Lett. 93, 266403 (2004).

  50. 50.

    W.K. Hensinger, D.W. Utami, G.S. Goan, K. Schwab, C. Monroe, G.J. Milburn, Phys. Rev. A 72, 041405 (2005).

  51. 51.

    C.W. Gardiner, Quantum Noise, Springer, Berlin, 1991.

  52. 52.

    C. Genes, D. Vitali, P. Tombesi, S. Gigan, M. Aspelmeyer, Phys. Rev. A 77, 033804 (2008).

  53. 53.

    R.W. Boyd, Nonlinear Optics (Academic Press, New York, 2010).

  54. 54.

    D.F. Walls, G.J. Milburn, Quantum Optics (Springer-Verlag, Berlin, 1994).

Download references

Author information

Kamran Ullah described the theoretical model, performed the analytic calculations and simulations. Kamran Ullah wrote the manuscript and approved the final version for publication.

Correspondence to Kamran Ullah.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Ullah, K. Control of electromagnetically induced transparency and Fano resonances in a hybrid optomechanical system. Eur. Phys. J. D 73, 267 (2019) doi:10.1140/epjd/e2019-100328-2

Download citation

Keywords

  • Quantum Optics