Abstract
We theoretically investigate the phenomenon of optomechanically induced transparency (OMIT), the measurement of the atom-photon coupling strength and orbital angular momentum (OAM) in a double-Laguerre-Gaussian rotating cavity optomechanical system. The vibration mirror cavity optomechanical system traps the atomic ensemble. We study the influence of the atomic ensemble on the OMIT windows, and give an explicit explanation of the physical mechanism. We find that the normal-mode splitting (NMS) phenomenon occurs in double L-G cavity modes when the tunneling strength increases to a certain extent. We find that the distance between the peaks of the absorption on both sides changes nearly linearly with the pump laser power and the single atom-photon coupling strength. Additionally, we also propose a scheme for measuring the atom-photon coupling strength and orbital angular momentum (OAM). This research is of great significance in the field of high-precision measurement and quantum information processing.
Similar content being viewed by others
References
Aspelmeyer, M., Kippenberg, T.J., Marquardt, F.: Cavity optomechanics. Rev. Mod. Phys. 86, 1391 (2014)
Liu, Z.X., Wang, B., Kong, C., Xiong, H., Wu, Y.: Magnetic-field-dependent slow light in strontium atom-cavity system. Appl. Phys. Lett. 112, 111109 (2018)
Lvovsky, A.I., Sanders, B.C., Tittel, W.: Optical quantum memory. Nat. Photonics. 3, 706–714 (2009)
Novikova, I., Walsworth, R.L., Xiao, Y.: Optical quantum memory. Laser. Photonics. Rev. 6, 333–353 (2012)
Acosta, V.M., Jensen, K., Santori, C., Budker, D., Beausoleil, R.G.: Electromagnetically induced transparency in a diamond spin ensemble enables all-optical electromagnetic field sensing. Phys. Rev. Lett. 110, 213605 (2013)
Zhang, J.Q., Zhang, S., Zou, J.H., Chen, L., Yang, W., Li, Y., Feng, M.: Fast optical cooling of nanomechanical cantilever with the dynamical Zeeman effect. Opt. Express. 21, 29695–29710 (2013)
Kang, H., Zhu, Y.: Observation of large Kerr nonlinearity at low light intensities. Phys. Rev. Lett. 91, 093601 (2003)
Liu, C., Dutton, Z., Behroozi, C.H., Hau, L.V.: Observation of coherent optical information storage in an atomic medium using halted light pulses. Nature 409, 490–493 (2001)
Shen, J.Q., He, S.: Dimension-sensitive optical responses of electromagnetically induced transparency vapor in a waveguide. Phys. Rev. A. 74, 063831 (2006)
Jiang, C., Liu, H.X., Cui, Y.S., Li, X.W., Chen, G.B.: Electromagnetically induced transparency and slow light in two-mode optomechanics. Opt. Express. 21, 12165–12173 (2013)
Weis, S., Riviere, R., Deleglise, S., Gavartin, E., Arcizet, O., Schliesser, A., Kippenberg, T.J.: Optomechanically induced transparency. Science 330, 1520–1523 (2010)
Agarwal, G.S., Huang, S.: Electromagnetically induced transparency in mechanical effects of light. Phys. Rev. A. 81, 041803 (2010)
Lin, Q., Rosenberg, J., Chang, D., Camacho, R., Eichenfield, M., Vahala, K.J., Painter, O.: Coherent mixing of mechanical excitations in nano-optomechanical structures. Nat. Photonics. 4, 236–242 (2010)
Safavi-Naeini, A.H., Alegre, T.M., Chan, J., Eichenfield, M., Winger, M., Lin, Q., Hill, J.T., Chang, D.E., Painter, O.: Electromagnetically induced transparency and slow light with optomechanics. Nature 472, 69–73 (2011)
Teufel, J.D., Donner, T., Li, D., Harlow, J.W., Allman, M.S., Cicak, K., Sirois, A.J., Whittaker, J.D., Lehnert, K.W., Simmonds, R.W.: Sideband cooling of micromechanical motion to the quantum ground state. Nature 475, 359–363 (2011)
Anupriya, J., Ram, N., Pattabiraman, M.: Hanle electromagnetically induced transparency and absorption resonances with a Laguerre Gaussian beam. Phys. Rev. A. 81, 043804 (2010)
Akin, T.G., Krzyzewski, S.P., Marino, A.M., Abraham, E.I.: Electromagnetically induced transparency with Laguerre-Gaussian modes in ultracold rubidium. Opt. Commun. 339, 209–215 (2015)
Peng, J.X., Chen, Z., Yuan, Q.Z., Feng, X.L.: Optomechanically induced transparency in a Laguerre-Gaussian rotational-cavity system and its application to the detection of orbital angular momentum of light fields. Phys. Rev. A. 99, 043817 (2019)
Peng, J.X., Chen, Z., Yuan, Q.Z., Feng, X.L.: Double optomechanically induced transparency in a Laguerre-Gaussian rovibrational cavity. Phys. Lett. A. 384, 126153 (2020)
Mann, N., Bakhtiari, M.R., Pelster, A., Thorwart, M.: Nonequilibrium quantum phase transition in a hybrid atom-optomechanical system. Phys. Rev. Lett. 120, 063605 (2018)
Nie, W.J., Lan, Y.H., Li, Y., Zhu, S.Y.: Generating large steady-state optomechanical entanglement by the action of Casimir force. Sci. China-Phys. Mech. Astron. 57, 2276–2284 (2014)
Huang, S.M., Chen, A.X.: Quadrature-squeezed light and optomechanical entanglement in a dissipative optomechanical system with a mechanical parametric drive. Phys. Rev. A. 98, 063843 (2018)
Chen, Y.H., Qin, W., Nori, F.: Fast and high-fidelity generation of steady-state entanglement using pulse modulation and parametric amplification. Phys. Rev. A. 100, 012339 (2019)
Ma, P.C., Zhang, J.Q., Xiao, Y., Feng, M., Zhang, Z.M.: Tunable double optomechanically induced transparency in an optomechanical system. Phys. Rev. A. 90, 043825 (2014)
He, Y.: Sensitivity of optical mass sensor enhanced by optomechanical coupling. Appl. Phys. Lett. 106, 121905 (2015)
Wang, Q., Zhang, J.Q., Ma, P.C., Yao, C.M., Feng, M.: Precision measurement of the environmental temperature by tunable double optomechanically induced transparency with a squeezed field. Phys. Rev. A. 91, 063827 (2015)
He, Y.: Light storage and cavity supermodes in two coupled optomechanical cavities. Phys. Rev. A. 94, 063804 (2016)
Zhang, J.Q., Li, Y., Feng, M., Xu, Y.: Precision measurement of electrical charge with optomechanically induced transparency. Phys. Rev. A. 86, 053806 (2012)
Abramovici, A., Althouse, W., Drever, R., Gursel, Y., Kawamura, S., Raab, F., Shoemaker, D., Sievers, L., Spero, R.: The laser interferometer gravitational-wave observatory. Science 256, 325–333 (1992)
Hou, B.P., Wei, L.F., Wang, S.J.: Optomechanically induced transparency and absorption in hybridized optomechanical systems. Phys. Rev. A. 92, 033829 (2015)
Groblacher, S., Hammerer, K., Vanner, M.R., Aspelmeyer, M.: Observation of strong coupling between a micromechanical resonator and an optical cavity field. Nature 460, 724–727 (2009)
Dobrindt, J.M., Wilson-Rae, I., Kippenberg, T.J.: Parametric normal-mode splitting in cavity optomechanics. Phys. Rev. Lett. 101, 263602 (2008)
Xiong, Y.L., Wanguemert-Perez, J.G., Xu, D.X., Schmid, J.H., Cheben, P., Ye, W.N.: Polarization splitter and rotator with subwavelength grating for enhanced fabrication tolerance. Opt. Lett. 39, 6931–6934 (2014)
Liao, Q.H., Xiao, X., Nie, W.J., Zhou, N.R.: Transparency and tunable slow-fast light in a hybrid cavity optomechanical system. Opt. Express. 28, 5288–5305 (2020)
Bhattacharya, M., Giscard, P.L., Meystre, P.: Entangling the rovibrational modes of a macroscopic mirror using radiation pressure. Phys. Rev. A. 77, 030303 (2008)
Liu, Y.M., Bai, C.H., Wang, D.Y., Wang, T., Zheng, M.H., Wang, H.F., Zhu, A.D., Zhang, S.: Ground-state cooling of rotating mirror in double-laguerre-gaussian-cavity with atomic ensemble. Opt. Express. 26, 6143–6157 (2018)
Zhang, Z.C., Pei, J.C., Wang, Y.P., Wang, X.G.: Measuring orbital angular momentum of vortex beams in optomechanics. Front. Phys. 16, 32503 (2021)
Kazemi, S.H., Mahmoudi, M.: Optomechanical second-order sideband effects in a Laguerre-Gaussian rotational-cavity system. Phys. Scr. 95, 045107 (2020)
Jin, C., Li, B., Wang, K., Xu, C., Tang, X., Yu, C., Lin, C.D.: Phase-matching analysis in high-order harmonic generation with nonzero orbital angular momentum Laguerre-Gaussian beams. Phys. Rev. A. 102, 033113 (2020)
Wang, J., Yang, J.Y., Fazal, I.M., Ahmed, N., Yan, Y., Huang, H., Ren, Y.X., Yue, Y., Dolinar, S., Tur, M.: Terabit free-space data transmission employing orbital angular momentum multiplexing. Nat. Photonics. 6, 488–496 (2012)
Yan, Y., Yue, Y., Huang, H., Ren, Y.X., Ahmed, N., Tur, M., Dolinar, S., Willner, A.: Multicasting in a spatial division multiplexing system based on optical orbital angular momentum. Opt. Lett. 38, 3930–3933 (2013)
Bozinovic, N., Yue, Y., Ren, Y.X., Tur, M., Kristensen, P., Huang, H., Willner, A.E., Ramachandran, S.: Terabit-scale orbital angular momentum mode division multiplexing in fibers. Science 340, 1545–1548 (2013)
Li, S.H., Wang, J.: A compact trench-assisted multi-orbital-angular-momentum multi-ring fiber for ultrahigh-density space-division multiplexing (19 rings× 22 modes). Sci. Rep. 4, 3853 (2014)
Gibson, G., Courtial, J., Padgett, M., Vasnetsov, M., Pas’ko, V., Barnett, S., Franke-Arnoid, S.: Free-space information transfer using light beams carrying orbital angular momentum. Opt. Express. 12, 5448–5456 (2004)
Chen, M.Z., Mazilu, M., Arita, Y., Wright, E.M., Dholakia, K.: Dynamics of microparticles trapped in a perfect vortex beam. Opt. Lett. 38, 4919–4922 (2013)
Ding, D.S., Zhang, W., Zhou, Z.Y., Shi, S., Xiang, G.Y., Wang, X.S., Jiang, Y.K., Shi, B.S., Guo, G.C.: Quantum storage of orbital angular momentum entanglement in an atomic ensemble. Phys. Rev. Lett. 114, 050502 (2015)
Harris, M., Hill, C.A., Vaughan, J.M.: Optical helices and spiral interference fringes. Opt. Commun. 106, 161–166 (1994)
Harris, M., Hill, C.A., Tapster, P., Vaughan, J.: Laser modes with helical wave fronts. Phys. Rev. A. 49, 3119–3122 (1994)
Vaity, P., Banerji, J., Singh, R.P.: Measuring the topological charge of an optical vortex by using a tilted convex lens. Phys. Lett. A. 377, 1154–1156 (2013)
Zheng, S., Wang, J.: Measuring orbital angular momentum (OAM) states of vortex beams with annular gratings. Sci. Rep. 7, 40781 (2017)
Allen, L., Beijersbergen, M.W., Spreeuw, R.J.C., Woerdman, J.P.: Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. Phys. Rev. A. 45, 8185–8189 (1992)
Xiao, X., Liao, Q.H., Zhou, N.R., Nie, W.J., Liu, Y.C.: Tunable optical second-order sideband effects in a parity-time symmetric optomechanical system. Sci. China-Phys. Mech. Astron. 63, 114211 (2020)
Chen, B., Shang, L., Wang, X.F., Chen, J.B., Xue, H.B., Liu, X., Zhang, J.: Atom-assisted second-order sideband generation in an optomechanical system with atom-cavity-resonator coupling. Phys. Rev. A. 99, 063810 (2019)
Walls, D.F., Milburn, G.J.: Quantum Optics (Springer Science & Business Media, 2007)
Bhattacharya, M., Meystre, P.: Using a Laguerre-Gaussian beam to trap and cool the rotational motion of a mirror. Phys. Rev. Lett. 99, 153603 (2007)
Bhattacharya, M., Giscard, P.L., Meystre, P.: Entanglement of a Laguerre-Gaussian cavity mode with a rotating mirror. Phys. Rev. A. 77, 013827 (2008)
Butsch, A., Koehler, J.R., Noskov, R.E., Russell, P.J.: CW-pumped single-pass frequency comb generation by resonant optomechanical nonlinearity in dual-nanoweb fiber. Optica. 1, 158–164 (2014)
Acknowledgements
This Project was supported by the National Natural Science Foundation of China (Grant No. 62061028), the Opening Project of Shanghai Key Laboratory of Special Artificial Microstructure Materials and Technology(Grant No. ammt2021A-4), the Foundation for Distinguished Young Scientists of Jiangxi Province (Grant No. 20162BCB23009), the Open Research Fund Program of the State Key Laboratory of Low-Dimensional Quantum Physics (Grant No. KF202010), the Interdisciplinary Innovation Fund of Nanchang University (Grant No. 9166-27060003-YB12), and the Open Research Fund Program of Key Laboratory of Opto-Electronic Information Acquisition and Manipulation of Ministry of Education (Grant No. OEIAM202004).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Liao, Q., Sun, J., Liu, Z. et al. Optomechanically Induced Transparency in Double-Laguerre-Gaussian-Cavity with Atomic Ensemble. Int J Theor Phys 61, 150 (2022). https://doi.org/10.1007/s10773-022-05131-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10773-022-05131-9