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

Kamran Ullah1
1Department of Physics, Quaid-i-Azam University, Islamabad, Pakistan

Tóm tắt

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.

Tài liệu tham khảo

T.J. Kippenberg, K.J. Vahala, Opt. Express 15, 17172 (2007). P. Treutlein, D. Hunger, S. Camerer, T.W. Hänsch, J. Reichel, Phys. Rev. Lett. 99, 140403 (2007). F. Brennecke, S. Ritter, T. Donner, T. Esslinger, Science 322, 235 (2008). 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). H. Ritsch, P. Domokos, F. Brennecke, T. Esslinger, Rev. Mod. Phys. 85, 553 (2013). P.C. Ma, J.Q. Zhang, Y. Xiao, M. Feng, Z.M. Zhang, Phys. Rev. A 90, 043825 (2014). 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). M. Paternostro, D. Vitali, S. Gigan, M.S. Kim, C. Brukner, J. Eisert, M. Aspelmeyer, Phys. Rev. Lett. 99, 250401 (2007). M.J. Hartmann, M.B. Plenio, Phys. Rev. Lett. 101, 200503 (2008). 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). 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). M. Bhattacharya, P. Meystre, Phys. Rev. Lett. 99, 073601 (2007). P. Rabl, Phys. Rev. Lett. 107, 063601 (2011). D. Tarhan, S. Huang, O.E. Mustecaplioglu, Phys. Rev. A 87, 013824 (2013). F. Saif, K. Ullah, S. Watanabe, AIP Conf. Proc. 2067, 020002 (2019). 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). M.R. Vanner, I. Pikovski, M.S. Kim, Ann. Phys. (Berlin) 527, 15 (2015). M. Abdi, M.J. Hartmann, New J. Phys. 17, 013056 (2015). S. Huang, J. Phys. B: At. Mol. Opt. Phys. 47, 055504 (2014). S.E. Harris, J.E. Field, A. Imamoglu, Phys. Rev. Lett. 64, 1107 (1990). G.S. Agarwal, S. Huang, Phys. Rev. A 81, 041803 (2010). S. Weis, R. Riviere, S. Deleglise, E. Gavartin, O. Arcizet, A. Schliesser, T.J. Kippenberg, Science 330, 1520 (2010). Q. Lin, J. Rosenberg, D. Chang, R. Camacho, M. Eichenfield, J.K. Vahala, O. Painter, Nature Photon. 4, 236 (2010). D.J. Teufel, D. Li, S.M. Allman, K. Cicak, J.A. Sirois, D.J. Whittaker, W.R. Simmonds, Nature 471, 204 (2011). F. Massel, S.U. Cho, J.M. Pirkkalainen, J.P. Hakonen, T.T. Heikkilä, A.M. Sillanpää, Nature Commun. 3, 987 (2012). P.C. Ma, L.L. Yan, G.B. Chen, X.W. Li, Y.B. Zhan, Laser Phys. Lett. 13, 125301 (2016). K. Ullah, H. Jing, F. Saif, Phys. Rev. A 97, 033812 (2018). Y. Jiao, H. Lü, J. Qian, Y. Li, H. Jing, New J. Phys. 18, 083034 (2016). S. Huang, G.S. Agarwal, Phys. Rev. A 83, 023823 (2011). B.P. Hou, L.F. Wei, S.J. Wang, Phys. Rev. A 92, 033829 (2015). C. Jiang, H. Liu, Y. Cui, X. Li, G. Chen, B. Chen, Opt. Express 21, 12165 (2013). L.G. Si, H. Xiong, M. Suhail Zubairy, Y. Wu, Phys. Rev. A 95, 033803 (2017). J.L. Ma, L. Tan, Q. Li, H.Q. Gu, W.M. Liu, Sci. Rep. 8, 14367 (2018). U. Fano, Phys. Rev. 124, 1866 (1961). A.E. Miroshnichenko, S. Flach, Y.S. Kivshar, Rev. Mod. Phys. 82, 2257 (2010). M.J. Akram, F. Ghafoor, M.M. Khan, F. Saif, Phys. Rev. A 95, 023810 (2017). B. Gallinet, O.J.F. Martin, ACS Nano 5, 8999 (2011). Y. Francescato, V. Giannini, S.A. Maier, ACS Nano 6, 1830 (2012). B.H. Bransden, C.C.J. Joachain, in Physics of Atoms and Molecules. 2nd ed., (Addison-Wesley, New York, 2003), Chap. 4. K. Qu, G.S. Agarwal, Phys. Rev. A 87, 063813 (2013). S. Zanotto, A. Tredicucci, Sci. Rep. 6, 24592 (2016). P. Horak, S.M. Barnett, H. Ritsch, Phys. Rev. A 61, 033609 (2000). C. Maschler, H. Ritsch, Phys. Rev. Lett. 95, 260401 (2005). F. Brennecke, T. Donner, S. Ritter, T. Bourdel, M. Köhl, T. Esslinger, Nature (London) 450, 268 (2007). K. Zhang, W. Chen, M. Bhattacharya, P. Meystre, Phys. Rev. A 81, 013802 (2010). P. Domokos, P. Horak, H. Ritsch, J. Phys. B: At. Mol. Opt. Phys. 34, 187 (2001). C. Maschler, H. Ritsch, Opt. Commun. 243, 145 (2004). D. Nagy, P. Domokos, A. Vukics, H. Ritsch, Eur. Phys. J. D 55, 659 (2009). L. Tian, P. Zoller, Phys. Rev. Lett. 93, 266403 (2004). W.K. Hensinger, D.W. Utami, G.S. Goan, K. Schwab, C. Monroe, G.J. Milburn, Phys. Rev. A 72, 041405 (2005). C.W. Gardiner, Quantum Noise, Springer, Berlin, 1991. C. Genes, D. Vitali, P. Tombesi, S. Gigan, M. Aspelmeyer, Phys. Rev. A 77, 033804 (2008). R.W. Boyd, Nonlinear Optics (Academic Press, New York, 2010). D.F. Walls, G.J. Milburn, Quantum Optics (Springer-Verlag, Berlin, 1994).