Perfect optomechanically induced transparency in two-cavity optomechanics

Abstract

Here, we study the controllable optical responses in a two-cavity optomechanical system, especially on the perfect optomechanically induced transparency (OMIT) in the model which has never been studied before. The results show that the perfect OMIT can still occur even with a large mechanical damping rate, and at the perfect transparency window the long-lived slow light can be achieved. In addition, we find that the conversion between the perfect OMIT and optomechanically induced absorption can be easily achieved just by adjusting the driving field strength of the second cavity. We believe that the results can be used to control optical transmission in modern optical networks.

Graphical abstract

Keywords

perfect optomechanically induced transparency / slow light / optomechanically induced absorption / cavity optomechanics

References

[1] M. Aspelmeyer, T. J. Kippenberg, F. Marquardt. Cavity optomechanics. Rev. Mod. Phys., 2014, 86(4): 1391

[2] S. Gigan, H. Böhm, M. Paternostro, F. Blaser, G. Langer, J. Hertzberg, K. Schwab, D. Bäuerle, M. Aspelmeyer, A. Zeilinger. Self-cooling of a micromirror by radiation pressure. Nature, 2006, 444(7115): 67

[3] O. Arcizet, P. F. Cohadon, T. Briant, M. Pinard, A. Heidmann. Radiation-pressure cooling and optomechanical instability of a micromirror. Nature, 2006, 444(7115): 71

[4] T. J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, K. J. Vahala. Analysis of Radiation-Pressure Induced Mechanical Oscillation of an Optical Microcavity. Phys. Rev. Lett., 2005, 95(3): 033901

[5] M. Tomes, T. Carmon. Photonic micro-electromechanical systems vibrating at X-band (11-GHz) rates. Phys. Rev. Lett., 2009, 102(11): 113601

[6] X. Jiang, Q. Lin, J. Rosenberg, K. Vahala, O. Painter. High-Q double-disk microcavities for cavity optomechanics. Opt. Express, 2009, 17(23): 20911

[7] C. A. Regal, J. D. Teufel, K. W. Lehnert. Measuring nanomechanical motion with a microwave cavity interferometer. Nat. Phys., 2008, 4(7): 555

[8] J. D. Teufel, D. Li, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, R. W. Simmonds. Circuit cavity electromechanics in the strong-coupling regime. Nature, 2011, 471(7337): 204

[9] J. D. Thompson, B. M. Zwickl, A. M. Jayich, F. Marquardt, S. M. Girvin, J. G. E. Harris. Strong dispersive coupling of a high-finesse cavity to a micromechanical membrane. Nature, 2008, 452(7183): 72

[10] A. M. Jayich, J. C. Sankey, B. M. Zwickl, C. Yang, J. D. Thompson, S. M. Girvin, A. A. Clerk, F. Marquardt, J. G. E. Harris. Dispersive optomechanics: A membrane inside a cavity. New J. Phys., 2008, 10(9): 095008

[11] J. C. Sankey, C. Yang, B. M. Zwickl, A. M. Jayich, J. G. E. Harris. Strong and tunable nonlinear optomechanical coupling in a low-loss system. Nat. Phys., 2010, 6(9): 707

[12] M. Karuza, C. Biancofiore, M. Bawaj, C. Molinelli, M. Galassi, R. Natali, P. Tombesi, G. Di Giuseppe, D. Vitali. Optomechanically induced transparency in a membrane-in-the-middle setup at room temperature. Phys. Rev. A, 2013, 88(1): 013804

[13] F. Marquardt, J. P. Chen, A. A. Clerk, S. M. Girvin. Quantum theory of cavity-assisted sideband cooling of mechanical motion. Phys. Rev. Lett., 2007, 99(9): 093902

[14] I. Wilson-Rae, N. Nooshi, W. Zwerger, T. J. Kippenberg. Theory of ground state cooling of a mechanical oscillator using dynamical backaction. Phys. Rev. Lett., 2007, 99(9): 093901

[15] B. He, L. Yang, Q. Lin, M. Xiao. Radiation pressure cooling as a quantum dynamical process. Phys. Rev. Lett., 2017, 118(23): 233604

[16] D. Y. Wang, C. H. Bai, S. Liu, S. Zhang, H. F. Wang. Optomechanical cooling beyond the quantum backaction limit with frequency modulation. Phys. Rev. A, 2018, 98(2): 023816

[17] J. Y. Yang, D. Y. Wang, C. H. Bai, S. Y. Guan, X. Y. Gao, A. D. Zhu, H. F. Wang. Ground-state cooling of mechanical oscillator via quadratic optomechanical coupling with two coupled optical cavities. Opt. Express, 2019, 27(16): 22855

[18] J. Wang. Ground-state cooling based on a three-cavity optomechanical system in the unresolved-sideband regime. Chin. Phys. B, 2021, 30(2): 024204

[19] Q. He, F. Badshah, Y. Song, L. Wang, E. Liang, S. L. Su. Force sensing and cooling for the mechanical membrane in a hybrid optomechanical system. Phys. Rev. A, 2022, 105(1): 013503

[20] J. Yang, C. Zhao, Z. Yang, R. Peng, S. Chao, L. Zhou. Nonreciprocal ground-state cooling of mechanical resonator in a spinning optomechanical system. Front. Phys., 2022, 17(5): 52507

[21] J. Li, G. Li, S. Zippilli, D. Vitali, T. Zhang. Enhanced entanglement of two different mechanical resonators via coherent feedback. Phys. Rev. A, 2017, 95(4): 043819

[22] C. H. Bai, D. Y. Wang, H. F. Wang, A. D. Zhu, S. Zhang. Robust entanglement between a movable mirror and atomic ensemble and entanglement transfer in coupled optomechanical system. Sci. Rep., 2016, 6(1): 33404

[23] X. B. Yan. Enhanced output entanglement with reservoir engineering. Phys. Rev. A, 2017, 96(5): 053831

[24] Z. J. Deng, X. B. Yan, Y. D. Wang, C. W. Wu. Optimizing the output-photon entanglement in multimode optomechanical systems. Phys. Rev. A, 2016, 93(3): 033842

[25] X. B. Yan, Z. J. Deng, X. D. Tian, J. H. Wu. Entanglement optimization of filtered output fields in cavity optomechanics. Opt. Express, 2019, 27(17): 24393

[26] Y. T. Chen, L. Du, Y. Zhang, J. H. Wu. Perfect transfer of enhanced entanglement and asymmetric steering in a cavity-magnomechanical system. Phys. Rev. A, 2021, 103(5): 053712

[27] S. Y. Guan, H. F. Wang, X. X. Yi. Cooperative-effect-induced one-way steering in open cavity magnonics. npj Quantum Inf., 2022, 8: 102

[28] Y. Zeng, B. Xiong, C. Li. Suppressing laser phase noise in an optomechanical system. Front. Phys., 2022, 17(1): 12503

[29] C. H. Bai, D. Y. Wang, S. Zhang, S. Liu, H. F. Wang. Engineering of strong mechanical squeezing via the joint effect between Duffing nonlinearity and parametric pump driving. Photon. Res., 2019, 7(11): 1229

[30] L. J. Feng, L. Yan, S. Q. Gong. Unconventional photon blockade induced by the self-Kerr and cross-Kerr nonlinearities. Front. Phys., 2023, 18(1): 12304

[31] K. Quand G. S. Agarwal, Phonon-mediated electromagnetically induced absorption in hybrid opto-electromechanical systems, Phys. Rev. A 87, 031802(R) (2013)

[32] G. S. Agarwal, S. Huang. Nanomechanical inverse electromagnetically induced transparency and confinement of light in normal modes. New J. Phys., 2014, 16(3): 033023

[33] J. Wang. Optomechanically induced tunable ideal nonreciprocity in optomechanical system with Coulomb interaction. Quantum Inform. Process., 2022, 21(7): 238

[34] B. He, L. Yang, and M. Xiao, Dynamical phonon laser in coupled active-passive microresonators, Phys. Rev. A 94, 031802(R) (2016)

[35] L. Du, Y. M. Liu, B. Jiang, Y. Zhang. All-optical photon switching, router and amplifier using a passive-active optomechanical system. EPL, 2018, 122(2): 24001

[36] C. C. Xia, X. B. Yan, X. D. Tian, F. Gao. Ideal optical isolator with a two-cavity optomechanical system. Opt. Commun., 2019, 451: 197

[37] X. B. Yan, C. L. Cui, K. H. Gu, X. D. Tian, C. B. Fu, J. H. Wu. Coherent perfect absorption, transmission, and synthesis in a double-cavity optomechanical system. Opt. Express, 2014, 22(5): 4886

[38] X. B. Yan, H. L. Lu, F. Gao, L. Yang. Perfect optical nonreciprocity in a double-cavity optomechanical system. Front. Phys., 2019, 14(5): 52601

[39] Y. T. Chen, L. Du, Y. M. Liu, Y. Zhang. Dual-gate transistor amplifier in a multimode optomechanical system. Opt. Express, 2020, 28(5): 7095

[40] T. Wang, C. H. Bai, D. Y. Wang, S. Liu, S. Zhang, H. F. Wang. Optomechanically induced Faraday and splitting effects in a double-cavity optomechanical system. Phys. Rev. A, 2021, 104(1): 013721

[41] L. Qi, G. L. Wang, S. Liu, S. Zhang, H. F. Wang. Dissipation-induced topological phase transition and periodic-driving-induced photonic topological state transfer in a small optomechanical lattice. Front. Phys., 2021, 16(1): 12503

[42] Z. R. Zhong, L. Chen, J. Q. Sheng, L. T. Shen, S. B. Zheng. Multiphonon-resonance quantum Rabi model and adiabatic passage in a cavity-optomechanical system. Front. Phys., 2022, 17(1): 12501

[43] S. Shahidani, M. H. Naderi, M. Soltanolkotabi. Control and manipulation of electromagnetically induced transparency in a nonlinear optomechanical system with two movable mirrors. Phys. Rev. A, 2013, 88(5): 053813

[44] Y. X. Liu, M. Davanco, V. Aksyuk, K. Srinivasan. Electromagnetically induced transparency and wideband wavelength conversion in silicon nitride microdisk optomechanical resonators. Phys. Rev. Lett., 2013, 110(22): 223603

[45] G. Pan, R. Xiao, H. Chen, J. Gao. Multicolor optomechanically induced transparency in a distant nano-electro-optomechanical system assisted by two-level atomic ensemble. Laser Phys., 2021, 31(6): 065202

[46] H. Xiong, L. G. Si, A. S. Zheng, X. Yang, Y. Wu. Higher-order sidebands in optomechanically induced transparency. Phys. Rev. A, 2012, 86(1): 013815

[47] X. B. Yan. Optomechanically induced transparency and gain. Phys. Rev. A, 2020, 101(4): 043820

[48] G. S. Agarwaland S. Huang, Electromagnetically induced transparency in mechanical effects of light, Phys. Rev. A 81, 041803(R) (2010)

[49] T. Bodiya, V. Sudhir, C. Wipf, N. Smith, A. Buikema, A. Kontos, H. Yu, N. Mavalvala. Sub-Hertz optomechanically induced transparency with a kilogram-scale mechanical oscillator. Phys. Rev. A, 2019, 100(1): 013853

[50] A. Kronwald, F. Marquardt. Optomechanically induced transparency in the nonlinear quantum regime. Phys. Rev. Lett., 2013, 111: 133601

[51] H. Jing, S. K. Özdemir, Z. Geng, J. Zhang, X. Y. Lü, B. Peng, L. Yang, F. Nori. Optomechanically-induced transparency in parity−time-symmetric microresonators. Sci. Rep., 2015, 5(1): 9663

[52] W. Li, Y. Jiang, C. Li, H. Song. Parity−time-symmetry enhanced optomechanically-induced-transparency. Sci. Rep., 2016, 6(1): 31095

[53] Y. C. Liu, B. B. Li, Y. F. Xiao. Electromagnetically induced transparency in optical microcavities. Nanophotonics, 2017, 6(5): 789

[54] S. Weis, R. Rivie’re, S. Deléglise, E. Gavartin, O. Arcizet, A. Schliesser, T. J. Kippenberg. Optomechanically induced transparency. Science, 2010, 330(6010): 1520

[55] X. B. Yan, K. H. Gu, C. B. Fu, C. L. Cui, R. Wang, J. H. Wu. Optical switching of optomechanically induced transparency and normal mode splitting in a double-cavity system. Eur. Phys. J. D, 2014, 68(5): 126

[56] A. H. Safavi-Naeini, T. P. M. Alegre, J. Chan, M. Eichenfield, M. Winger, Q. Lin, J. T. Hill, D. E. Chang, O. Painter. Electromagnetically induced transparency and slow light with optomechanics. Nature, 2011, 472(7341): 69

[57] X. B. Yan. Optomechanically induced optical responses with non-rotating wave approximation. J. Phys. At. Mol. Opt. Phys., 2021, 54(3): 035401

[58] B. Chen, C. Jiang, K. D. Zhu. Slow light in a cavity optomechanical system with a Bose−Einstein condensate. Phys. Rev. A, 2011, 83(5): 055803

[59] D. Tarhan, S. Huang, Ö. E. Müstecaplioğlu. Superluminal and ultraslow light propagation in optomechanical systems. Phys. Rev. A, 2013, 87(1): 013824

[60] K. H. Gu, X. B. Yan, Y. Zhang, C. B. Fu, Y. M. Liu, X. Wang, J. H. Wu. Tunable slow and fast light in an atom-assisted optomechanical system. Opt. Commun., 2015, 338: 569

[61] D. E. Chang, A. H. Safavi-Naeini, M. Hafezi, O. Painter. Slowing and stopping light using an optomechanical crystal array. New J. Phys., 2011, 13(2): 023003

[62] M. J. Akram, M. M. Khan, F. Saif. Tunable fast and slow light in a hybrid optomechanical system. Phys. Rev. A, 2015, 92(2): 023846

[63] X. B. Yan. Optomechanically induced ultraslow and ultrafast light. Physica E, 2021, 131: 114759

[64] L. Wang, Y. T. Chen, K. Yin, Y. Zhang. Nonreciprocal transmission and asymmetric fast–slow light effect in an optomechanical system with two PT-symmetric mechanical resonators. Laser Phys., 2020, 30(10): 105205

[65] Y. N. Zhao, T. Wang, D. Y. Wang, X. Han, S. Zhang, H. F. Wang. Optical amplification and fast-slow light in a three-mode cavity optomechanical system without rotating wave approximation. Photonics, 2021, 8(9): 384

[66] X. W. Xu, Y. Li. Optical nonreciprocity and optomechanical circulator in three-mode optomechanical systems. Phys. Rev. A, 2015, 91(5): 053854

[67] N. R. Bernier, L. D. Tóth, A. Koottandavida, M. A. Ioannou, D. Malz, A. Nunnenkamp, A. K. Feofanov, T. J. Kippenberg. Nonreciprocal reconfigurable microwave optomechanical circuit. Nat. Commun., 2017, 8(1): 604

[68] M. Ludwig, A. H. Safavi-Naeini, O. Painter, F. Marquardt. Enhanced quantum nonlinearities in a two-mode optomechanical system. Phys. Rev. Lett., 2012, 109(6): 063601

[69] X. Y. Lü, W. M. Zhang, S. Ashhab, Y. Wu, F. Nori. Quantum-criticality-induced strong Kerr nonlinearities in optomechanical systems. Sci. Rep., 2013, 3(1): 2943

[70] L. Tian. Robust photon entanglement via quantum interference in optomechanical interfaces. Phys. Rev. Lett., 2013, 110(23): 233602

[71] A. Nunnenkamp, K. Børkje, S. M. Girvin. Single-photon optomechanics. Phys. Rev. Lett., 2011, 107(6): 063602

[72] A. Nunnenkamp, V. Sudhir, A. K. Feofanov, A. Roulet, T. J. Kippenberg. Quantum-limited amplification and parametric instability in the reversed dissipation regime of cavity optomechanics. Phys. Rev. Lett., 2014, 113(2): 023604

[73] Sh. Barzanjeh, M. Abdi, G. J. Milburn, P. Tombesi, D. Vitali. Reversible optical-to-microwave quantum interface. Phys. Rev. Lett., 2012, 109(13): 130503

[74] M. S. Bigelow, N. N. Lepeshkin, R. W. Boyd. Superluminal and slow light propagation in a room-temperature solid. Science, 2003, 301(5630): 200

RIGHTS & PERMISSIONS

2023 Higher Education Press