环形腔光力系统中三次非线性产生稳态机械模压缩

摘要/Abstract

摘要： 我们提出了一种利用腔光力系统产生稳态机械模压缩的方案。该系统包含一个固定镜和两个振动镜，其中振动镜可看作具有三次非线性的非简谐振子。受输入激光驱动的腔内光场对振动镜产生光辐射压力。我们首先研究了腔内光场和机械模的稳态振幅，发现当驱动功率升高时振幅也跟着增大。然后我们研究了机械模的压缩性质，发现在很大参数范围内可以达到压缩。我们还可以通过增强三次非线性强度、驱动激光功率或适当调节驱动场与腔场的失谐量来增强压缩。另外，压缩对热声子噪音具有鲁棒性。

关键词: 机械非线性

Abstract: We propose a scheme for generating the steady-state squeezing of mechanical modes in an optomechanical system. The optomechanical system is a ring cavity consisting of a fixed mirror and two oscillating mirrors. The oscillation of the mirrors is not harmonic, but has a cubic nonlinearity. The cavity field is driven by an input laser and exerts a radiation pressure on the oscillating mirrors. We first study the steady-state amplitudes of the cavity field and the mechanical modes, and find that the steady-state amplitudes increase as the power of the driving laser increases. We then investigate the squeezing properties of the mechanical modes, and find that the squeezing can be achieved in a large region of parameters, and it can be enhanced by increasing the cubic nonlinearity and/or the power of the driving laser, and/or by suitably adjusting the frequency detuning between the driving laser and the cavity field. We also find that the squeezing is robust against the thermal phonon noise.

Key words: mechanical nonlinearity

中图分类号:

O431.2

李青张智明. 环形腔光力系统中三次非线性产生稳态机械模压缩[J]. J4, 2017, 34(6): 705-712.

参考文献

[1]Zhu K D, Li W S.Electromagnetically induced transparency mediated by phonons in strongly coupled exciton–phonon systems[J].Appl. Phys. B, 2002, 75(8):861-864
[2]Agarwal G S, Huang S.Electromagnetically induced transparency in mechanical effects of light[J].Phys. Rev. A, 2010, 81(4):041803-041803
[3]Weis S, Rivi`ere R, Del′eglise S, et al.Optomechanically induced transparency[J].Science, 2010, 330(6010):1520-1523
[4]Xiao Y, Yu Y F and Zhang Z M.Controllable optomechanically induced transparency and ponderomotive squeezing in an optomechanical system assisted by an atomic ensemble[J].Opt. Express, 2014, 22(15):17979-17989
[5]Marquardt F, Chen J P, Clerk A A, et al.Quantum theory of cavity-assisted sideband cooling of mechanical motion[J].Phys. Rev. Lett., 2007, 99(9):093902-093902
[6]Wilson-Rae I, Nooshi N, Dobrindt J, et al.Cavity-assisted backaction cooling of mechanical resonators[J].New J. Phys., 2008, 10(9):095007-095007
[7]Mazzola L, Paternostro M.Distributing fully optomechanical quantum correlations[J].Phys. Rev. A, 2011, 83(6):062335-062335
[8]Genes C, Vitali D, Tombesi P.Emergence of atom-light-mirror entanglement inside an optical cavity[J].Phys. Rev. A, 2008, 77(5):050307-050307
[9]Palomaki T A, Harlow J W, et al.Coherent state transfer between itinerant microwave fields and a mechanical oscillator[J].Nature, 2013, 495(7440):210-214
[10]Wang Y D, Clerk A A.Using interference for high fidelity quantum state transfer in optomechanics[J].Phys. Rev. Lett., 2012, 108(15):153603-153603
[11]Georgiades N P, Polzik E S, et al.Nonclassical excitation for atoms in a squeezed vacuum[J].Phys. Rev. Lett., 1995, 75(19):3426-3426
[12]Alebachew E, Fesseha K.Interaction of a two-level atom with squeezed light[J].Opt. Commun., 2007, 271(1):154-161
[13]Paternostro M.Engineering nonclassicality in a mechanical system through photon subtraction[J].Phys. Rev. Lett., 2011, 106(18):183601-183601
[14]Vacanti G, Paternostro M, et al.Nonclassicality of optomechanical devices in experimentally realistic operating regimes[J].Phys. Rev. A, 2013, 88(1):013851-013851
[15]Li J, Gr¨oblacher S, Paternostro M.Enhancing non-classicality in mechanical systems[J].New J. Phys., 2013, 15(3):033023-033023
[16]Tan H, Bariani F, et al.Generation of macroscopic quantum superpositions of optomechanical oscillators by dissipation[J].Phys. Rev. A, 2013, 88(2):023817-023817
[17]Brooks D W, Botter T, et al.Non-classical light generated by quantum-noise-driven cavity optomechanics[J].Nature, 2012, 488(7412):476-480
[18]Safavi-Naeini A H, Gr¨oblacher S, et al.Squeezed light from a silicon micromechanical resonator[J].Nature, 2013, 500(7461):185-189
[19]Verlot P, Tavernarakis A, et al.Backaction amplification and quantum limits in optomechanical measurements[J].Phys. Rev. Lett., 2010, 104(13):133602-133602
[20]Gavartin E, Verlot P, Kippenberg T J.A hybrid on-chip optomechanical transducer for ultrasensitive force measurements[J].Nat. Nanotech., 2012, 7(8):509-514
[21]Purdy T P, Yu P L, et al.Strong optomechanical squeezing of light[J].Phys. Rev. X, 2013, 3(3):031012-031012
[22]Abramovici A, Althouse W E, et al.LIGO: The laser interferometer gravitational-wave observatory[J].Science, 1992, 256(5055):325-333
[23]Caves C M, Thorne K S, et al.On the measurement of a weak classical force coupled to a quantummechanical oscillatorI. Issues of principle[J].Rev. Mod. Phys., 1980, 52(2):341-341
[24]Barish B C, Weiss R.LIGO and the Detection of Gravitational Waves[J].Phys. Today, 1999, 52(1):44-50
[25]Mari A, Eisert J.Gently modulating optomechanical systems[J].Phys. Rev. Lett., 2009, 103(21):213603-213603
[26]J¨ahne K, Genes C, et al.Cavity-assisted squeezing of a mechanical oscillator[J].Phys. Rev. A, 2009, 79(6):063819-063819
[27]Seok H, Buchmann L F, et al.Generation of mechanical squeezing via magnetic dipoles on cantilevers[J].Phys. Rev. A, 2012, 85(3):033822-033822
[28]Clerk A A, Marquardt F, Jacobs K.Back-action evasion and squeezing of a mechanical resonator using a cavity detector[J].New J. Phys., 2008, 10(9):095010-095010
[29]Asjad M, Agarwal G S, et al.Robust stationary mechanical squeezing in a kicked quadratic optomechanical system[J].Phys. Rev. A, 2014, 89(2):023849-023849
[30]L¨u X Y, Liao J Q, et al.Steady-state mechanical squeezing in an optomechanical system via Duffing nonlinearity[J].Phys. Rev. A, 2015, 91(1):013834-013834
[31]Schliesser A, Arcizet O, et al.Resolved-sideband cooling and position measurement of a micromechanical oscillator close to the Heisenberg uncertainty limit[J].Nature Phys., 2009, 5(7):509-514
[32]Vitali D, Gigan S, et al.Optomechanical entanglement between a movable mirror and a cavity field[J].Phys. Rev. Lett., 2007, 98(3):030405-030405
[33]Li M, Pernice W H P, Tang H X.Broadband all-photonic transduction of nanocantilevers[J].Nat. nanotech., 2009, 4(6):377-382
[34]Rips S, Kiffner M, et al.Steady-state negative Wigner functions of nonlinear nanomechanical oscillators[J].New J. Phys., 2012, 14(2):023042-023042
[35] Li H, Chen Y, et al.Multichannel cavity optomechanics for all-optical amplification of radio frequency signals[J].Nat. Commun., 2012, 3(1):1091-1091
[36]Jacobs K, Landahl A J.Engineering giant nonlinearities in quantum nanosystems[J].Phys. Rev. Lett., 2009, 103(6):067201-067201
[37]Huang S, Agarwal G S.Entangling nanomechanical oscillators in a ring cavity by feeding squeezed light[J].New J. Phys., 2009, 11(10):103044-103044
[38]Schulze R J, Genes C, Ritsch H.Optomechanical approach to cooling of small polarizable particles in a strongly pumped ring cavity[J].Phys. Rev. A, 2010, 81(6):063820-063820