Researching | Engineering of strong mechanical squeezing via the joint effect between Duffing nonlinearity and parametric pump driving

Photonics Research, Volume. 7, Issue 11, 1229(2019)

Engineering of strong mechanical squeezing via the joint effect between Duffing nonlinearity and parametric pump driving

Cheng-Hua Bai¹, Dong-Yang Wang¹, Shou Zhang^1,2,3, Shutian Liu¹, and Hong-Fu Wang^2、*

Author Affiliations

¹Department of Physics, Harbin Institute of Technology, Harbin 150001, China

²Department of Physics, College of Science, Yanbian University, Yanji 133002, China

³e-mail: szhang@ybu.edu.cn

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[1] M. O. Scully, M. S. Zubairy. Quantum Optics(1997).

[2] C. M. Caves, K. S. Thorne, R. W. P. Drever, V. D. Sandberg, M. Zimmermann. On the measurement of a weak classical force coupled to a quantum-mechanical oscillator. I. Issues of principle. Rev. Mod. Phys., 52, 341-392(1980).

[3] A. Abramovici, W. E. Althouse, R. W. P. Drever, Y. Gürsel, S. Kawamura, F. J. Raab, D. Shoemaker, L. Sievers, R. E. Spero, K. S. Thorne, R. E. Vogt, R. Weiss, S. E. Whitcomb, M. E. Zucker. LIGO: the laser interferometer gravitational-wave observatory. Science, 256, 325-333(1992).

[4] M. D. LaHaye, O. Buu, B. Camarota, K. C. Schwab. Approaching the quantum limit of a nanomechanical resonator. Science, 304, 74-77(2004).

[5] M. Aspelmeyer, P. Meystre, K. Schwab. Quantum optomechanics. Phys. Today, 65, 29-35(2012).

[6] W. H. Zurek. Decoherence and the transition from quantum to classical. Phys. Today, 44, 36-44(1991).

[7] T. J. Kippenberg, K. J. Vahala. Cavity optomechanics: back-action at the mesoscale. Science, 321, 1172-1176(2008).

[8] S. L. Braunstein, P. van Loock. Quantum information with continuous variables. Rev. Mod. Phys., 77, 513-577(2005).

[9] D. F. Walls. Squeezed states of light. Nature, 306, 141-146(1983).

[10] R. E. Slusher, L. W. Hollberg, B. Yurke, J. C. Mertz, J. F. Valley. Observation of squeezed states generated by four-wave mixing in an optical cavity. Phys. Rev. Lett., 55, 2409-2412(1985).

[11] L. A. Wu, H. J. Kimble, J. L. Hall, H. Wu. Generation of squeezed states by parametric down conversion. Phys. Rev. Lett., 57, 2520-2523(1986).

[12] J. N. Hollenhorst. Quantum limits on resonant-mass gravitational-radiation detectors. Phys. Rev. D, 19, 1669-1679(1979).

[13] H. Lü, Y. Jiang, Y. Z. Wang, H. Jing. Optomechanically induced transparency in a spinning resonator. Photon. Res., 5, 367-371(2017).

[14] S. Gigan, H. R. Böhm, M. Paternostro, F. Blaser, G. Langer, J. B. Hertzberg, K. C. Schwab, D. Bäuerle, M. Aspelmeyer, A. Zeilinger. Self-cooling of a micromirror by radiation pressure. Nature, 444, 67-70(2006).

[15] T. Rocheleau, T. Ndukum, C. Macklin, J. B. Hertzberg, A. A. Clerk, K. C. Schwab. Preparation and detection of a mechanical resonator near the ground state of motion. Nature, 463, 72-75(2010).

[16] J. D. Teufel, T. Donner, D. Li, J. W. Harlow, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, K. W. Lehnert, R. W. Simmonds. Sideband cooling of micromechanical motion to the quantum ground state. Nature, 475, 359-363(2011).

[17] J. Chan, T. P. M. Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Gröblacher, M. Aspelmeyer, O. Painter. Laser cooling of a nanomechanical oscillator into its quantum ground state. Nature, 478, 89-92(2011).

[18] J. B. Clark, F. Lecocq, R. W. Simmonds, J. Aumentado, J. D. Teufel. Sideband cooling beyond the quantum backaction limit with squeezed light. Nature, 541, 191-195(2017).

[19] 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, 452, 72-75(2008).

[20] S. Gröblacher, K. Hammerer, M. R. Vanner, M. Aspelmeyer. Observation of strong coupling between a micromechanical resonator and an optical cavity field. Nature, 460, 724-727(2009).

[21] 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., 6, 707-712(2010).

[22] M. Aspelmeyer, T. J. Kippenberg, F. Marquardt. Cavity optomechanics. Rev. Mod. Phys., 86, 1391-1452(2014).

[23] A. Mari, J. Eisert. Gently modulating optomechanical systems. Phys. Rev. Lett., 103, 213603(2009).

[24] J. Q. Liao, C. K. Law. Parametric generation of quadrature squeezing of mirrors in cavity optomechanics. Phys. Rev. A, 83, 033820(2011).

[25] M. Schmidt, M. Ludwig, F. Marquardt. Optomechanical circuits for nanomechanical continuous variable quantum state processing. New J. Phys., 14, 125005(2012).

[26] C. H. Bai, D. Y. Wang, S. Zhang, S. Liu, H. F. Wang. Modulation-based atom-mirror entanglement and mechanical squeezing in an unresolved-sideband optomechanical system. Ann. Phys., 531, 1800271(2019).

[27] M. J. Woolley, A. C. Doherty, G. J. Milburn, K. C. Schwab. Nanomechanical squeezing with detection via a microwave cavity. Phys. Rev. A, 78, 062303(2008).

[28] A. Kronwald, F. Marquardt, A. A. Clerk. Arbitrarily large steady-state bosonic squeezing via dissipation. Phys. Rev. A, 88, 063833(2013).

[29] R. Zhang, Y. Fang, Y. Y. Wang, S. Chesi, Y. D. Wang. Strong mechanical squeezing in an unresolved-sideband optomechanical system. Phys. Rev. A, 99, 043805(2019).

[30] K. Jähne, C. Genes, K. Hammerer, M. Wallquist, E. S. Polzik, P. Zoller. Cavity-assisted squeezing of a mechanical oscillator. Phys. Rev. A, 79, 063819(2009).

[31] A. Nunnenkamp, K. Børkje, J. G. E. Harris, S. M. Girvin. Cooling and squeezing via quadratic optomechanical coupling. Phys. Rev. A, 82, 021806(2010).

[32] M. Asjad, G. S. Agarwal, M. S. Kim, P. Tombesi, G. D. Giuseppe, D. Vitali. Robust stationary mechanical squeezing in a kicked quadratic optomechanical system. Phys. Rev. A, 89, 023849(2014).

[33] S. Huang, G. S. Agarwal. Reactive coupling can beat the motional quantum limit of nanowaveguides coupled to a microdisk resonator. Phys. Rev. A, 82, 033811(2010).

[34] W. J. Gu, G. X. Li, Y. P. Yang. Generation of squeezed states in a movable mirror via dissipative optomechanical coupling. Phys. Rev. A, 88, 013835(2013).

[35] W. J. Gu, G. X. Li. Squeezing of the mirror motion via periodic modulations in a dissipative optomechanical system. Opt. Express, 21, 20423-20440(2013).

[36] X. Y. Lü, J. Q. Liao, L. Tian, F. Nori. Steady-state mechanical squeezing in an optomechanical system via Duffing nonlinearity. Phys. Rev. A, 91, 013834(2015).

[37] B. Xiong, X. Li, S. L. Chao, L. Zhou. Optomechanical quadrature squeezing in the non-Markovian regime. Opt. Lett., 43, 6053-6056(2018).

[38] A. A. Clerk, F. Marquardt, K. Jacobs. Back-action evasion and squeezing of a mechanical resonator using a cavity detector. New J. Phys., 10, 095010(2008).

[39] A. Szorkovszky, A. C. Doherty, G. I. Harris, W. P. Bowen. Mechanical squeezing via parametric amplification and weak measurement. Phys. Rev. Lett., 107, 213603(2011).

[40] A. Szorkovszky, G. A. Brawley, A. C. Doherty, W. P. Bowen. Strong thermomechanical squeezing via weak measurement. Phys. Rev. Lett., 110, 184301(2013).

[41] R. Ruskov, K. Schwab, A. N. Korotkov. Squeezing of a nanomechanical resonator by quantum nondemolition measurement and feedback. Phys. Rev. B, 71, 235407(2005).

[42] A. Dalafi, M. H. Naderi, A. Motazedifard. Effects of quadratic coupling and squeezed vacuum injection in an optomechanical cavity assisted with a Bose-Einstein condensate. Phys. Rev. A, 97, 043619(2018).

[43] A. Farace, V. Giovannetti. Enhancing quantum effects via periodic modulations in optomechanical systems. Phys. Rev. A, 86, 013820(2012).

[44] 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, 98, 023816(2018).

[45] J. F. Huang, J. Q. Liao, L. M. Kuang. Ultrastrong Jaynes-Cummings model(2019).

[46] K. Jacobs, A. J. Landahl. Engineering giant nonlinearities in quantum nanosystems. Phys. Rev. Lett., 103, 067201(2009).

[47] E. X. DeJesus, C. Kaufman. Routh-Hurwitz criterion in the examination of eigenvalues of a system of nonlinear ordinary differential equations. Phys. Rev. A, 35, 5288-5290(1987).

[48] C. Weedbrook, S. Pirandola, R. García-Patrón, N. J. Cerf, T. C. Ralph, J. H. Shapiro, S. Lloyd. Gaussian quantum information. Rev. Mod. Phys., 84, 621-669(2012).

[49] R. X. Chen, L. T. Shen, Z. B. Yang, H. Z. Wu. Transition of entanglement dynamics in an oscillator system with weak time-dependent coupling. Phys. Rev. A, 91, 012312(2015).

[50] S. Chakraborty, A. K. Sarma. Entanglement dynamics of two coupled mechanical oscillators in modulated optomechanics. Phys. Rev. A, 97, 022336(2018).

[51] D. F. Walls, G. J. Milburn. Quantum Optics(1994).

[52] K. W. Xiao, N. Zhao, Z. Q. Yin. Bistability and squeezing of the librational mode of an optically trapped nanoparticle. Phys. Rev. A, 96, 013837(2017).

CLP Journals

[1] Biao Xiong, Xun Li, Shi-Lei Chao, Zhen Yang, Wen-Zhao Zhang, Weiping Zhang, Ling Zhou, "Strong mechanical squeezing in an optomechanical system based on Lyapunov control," Photonics Res. 8, 151 (2020)

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Cheng-Hua Bai, Dong-Yang Wang, Shou Zhang, Shutian Liu, Hong-Fu Wang, "Engineering of strong mechanical squeezing via the joint effect between Duffing nonlinearity and parametric pump driving," Photonics Res. 7, 1229 (2019)

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Paper Information

Category: Quantum Optics

Received: May. 7, 2019

Accepted: Sep. 1, 2019

Published Online: Oct. 22, 2019

The Author Email: Hong-Fu Wang (hfwang@ybu.edu.cn)

DOI:10.1364/PRJ.7.001229

Topics

laser devices and laser physics

Lasers and Laser Optics

laser manufacturing

Instrumentation, Measurement and Metrology