Generation of two-mode squeezing of mechanical oscillators in the multi-mode optomechanical systems

We investigate the generation of two-mode mechanical squeezing in the multi-mode optomechanical systems with N mechanical oscillators. The cavity field is driven by an external field with time-varying amplitude. It is shown that the two-mode squeezed states of two arbitrary oscillators can be generated for an appropriate choice of the driving field. Our results show that the stronger squeezing can be achieved by increasing the driving field amplitude and enhancing the coupling between the mechanical oscillators and cavity field. In the addition, we find that the mechanical squeezed states are also affected by the number of mechanical oscillators: the more the mechanical oscillators, the larger the strength of squeezing.

[1]  Michael Thorwart,et al.  Enhancing nanomechanical squeezing by atomic interactions in a hybrid atom-optomechanical system , 2018, Physical Review A.

[2]  Shutian Liu,et al.  Modulation‐Based Atom‐Mirror Entanglement and Mechanical Squeezing in an Unresolved‐Sideband Optomechanical System , 2018, Annalen der Physik.

[3]  Seth Lloyd,et al.  Quantum Computation over Continuous Variables , 1999 .

[4]  K. Jacobs,et al.  Preparation of nonclassical states in cavities with a moving mirror , 1997 .

[5]  Kimble,et al.  Unconditional quantum teleportation , 1998, Science.

[6]  S. Gigan,et al.  Self-cooling of a micromirror by radiation pressure , 2006, Nature.

[7]  P. Tombesi,et al.  Emergence of atom-light-mirror entanglement inside an optical cavity , 2008, 0801.2266.

[8]  P. Solano,et al.  Manipulation of multimode squeezing in a coupled waveguide array , 2019, Physical Review A.

[9]  Franco Nori,et al.  Cavity optomechanical coupling assisted by an atomic gas , 2008, 0803.0776.

[10]  Martin B Plenio,et al.  Steady state entanglement in the mechanical vibrations of two dielectric membranes. , 2008, Physical review letters.

[11]  G. S. Agarwal,et al.  Superradiance and collective gain in multimode optomechanics , 2014, 1409.7226.

[12]  D. Bouwmeester,et al.  Creating and verifying a quantum superposition in a micro-optomechanical system , 2008, 0807.1834.

[13]  Sumei Huang,et al.  Enhancement of cavity cooling of a micromechanical mirror using parametric interactions , 2008, 0810.2589.

[14]  Aires Ferreira,et al.  Optomechanical entanglement between a movable mirror and a cavity field , 2007, 2007 European Conference on Lasers and Electro-Optics and the International Quantum Electronics Conference.

[15]  S. Deleglise,et al.  Determination of the vacuum optomechanical coupling rate using frequency noise calibration. , 2010, Optics Express.

[16]  S. Girvin,et al.  Cooling and squeezing via quadratic optomechanical coupling , 2010, 1004.2510.

[17]  Sheng-li Ma,et al.  Generation of broadband two-mode squeezed light in cascaded double-cavity optomechanical systems , 2015 .

[18]  R. Metzler,et al.  Strange kinetics of single molecules in living cells , 2012 .

[19]  Shutian Liu,et al.  Engineering of strong mechanical squeezing via the joint effect between Duffing nonlinearity and parametric pump driving , 2019, Photonics Research.

[20]  Wen-Xue Cui,et al.  Mechanical squeezing beyond resolved sideband and weak-coupling limits with frequency modulation , 2019, Physical Review A.

[21]  W. Bowen.  Quantum Optomechanics , 2015, 2018 Conference on Lasers and Electro-Optics Pacific Rim (CLEO-PR).

[22]  Chui-Ping Yang,et al.  Generalized coupling system between a superconducting qubit and two nanomechanical resonators , 2018, Physical Review A.

[23]  T. Briant,et al.  Radiation-pressure cooling and optomechanical instability of a micromirror , 2006, Nature.

[24]  S. Braunstein,et al.  Quantum Information with Continuous Variables , 2004, quant-ph/0410100.

[25]  M. Wallquist,et al.  Single-atom cavity QED and optomicromechanics , 2009, 0912.4424.

[26]  V. Sandberg,et al.  ON THE MEASUREMENT OF A WEAK CLASSICAL FORCE COUPLED TO A QUANTUM MECHANICAL OSCILLATOR. I. ISSUES OF PRINCIPLE , 1980 .

[27]  Ying-Dan Wang,et al.  Strong mechanical squeezing in an unresolved-sideband optomechanical system , 2018, Physical Review A.

[28]  Gao-xiang Li,et al.  Ground-state cooling of a nanomechanical resonator with a triple quantum dot via quantum interference , 2012 .

[29]  C. Regal,et al.  Strong Optomechanical Squeezing of Light , 2013, 1306.1268.

[30]  G. S. Agarwal,et al.  Strong squeezing via phonon mediated spontaneous generation of photon pairs , 2014, 1401.7353.

[31]  Schumaker,et al.  New formalism for two-photon quantum optics. I. Quadrature phases and squeezed states. , 1985, Physical review. A, General physics.

[32]  M. Aspelmeyer,et al.  Observation of strong coupling between a micromechanical resonator and an optical cavity field , 2009, Nature.

[33]  Franco Nori,et al.  Effective Hamiltonian approach to the Kerr nonlinearity in an optomechanical system , 2008, 0805.4102.

[34]  B. Barish,et al.  LIGO and the Detection of Gravitational Waves , 1999 .