Enhancing quantum effects via periodic modulations in optomechanical systems

Parametrically modulated optomechanical systems have been recently proposed as a simple and efficient setting for the quantum control of a micromechanical oscillator: relevant possibilities include the generation of squeezing in the oscillator position (or momentum) and the enhancement of entanglement between mechanical and radiation modes. In this paper we further investigate this new modulation regime, considering an optomechanical system with one or more parameters being modulated over time. We first apply a sinusoidal modulation of the mechanical frequency and characterize the optimal regime in which the visibility of purely quantum effects is maximal. We then introduce a second modulation on the input laser intensity and analyze the interplay between the two. We find that an interference pattern shows up, so that different choices of the relative phase between the two modulations can either enhance or cancel the desired quantum effects.

[1]  Law Interaction between a moving mirror and radiation pressure: A Hamiltonian formulation. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[2]  Stefano Mancini,et al.  Stationary entanglement between two movable mirrors in a classically driven Fabry–Perot cavity , 2006, quant-ph/0611038.

[3]  J. Ignacio Cirac,et al.  Optically Levitating Dielectrics in the Quantum Regime: Theory and Protocols , 2010, 1010.3109.

[4]  Michael R. Vanner,et al.  Demonstration of an ultracold micro-optomechanical oscillator in a cryogenic cavity , 2009, 0901.1801.

[5]  V. Vedral,et al.  Classical, quantum and total correlations , 2001, quant-ph/0105028.

[6]  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.

[7]  M. Aspelmeyer,et al.  Laser cooling of a nanomechanical oscillator into its quantum ground state , 2011, Nature.

[8]  Kerry Vahala,et al.  Cavity opto-mechanics. , 2007, Optics express.

[9]  David Zueco,et al.  Bringing entanglement to the high temperature limit. , 2010, Physical review letters.

[10]  V. Giovannetti,et al.  Phase-noise measurement in a cavity with a movable mirror undergoing quantum Brownian motion , 2000, quant-ph/0006084.

[11]  T. Kippenberg,et al.  Parametric normal-mode splitting in cavity optomechanics. , 2008, Physical review letters.

[12]  A. Datta,et al.  Quantum versus classical correlations in Gaussian states. , 2010, Physical review letters.

[13]  Markus Aspelmeyer,et al.  Quantum optomechanics—throwing a glance [Invited] , 2010, 1005.5518.

[14]  P. Zoller,et al.  Cavity-assisted squeezing of a mechanical oscillator , 2009, 0904.1306.

[15]  S. Deléglise,et al.  Quantum-coherent coupling of a mechanical oscillator to an optical cavity mode , 2011, Nature.

[16]  P. Tombesi,et al.  Quantum Effects in Optomechanical Systems , 2009, 0901.2726.

[17]  G. Milburn,et al.  Nanomechanical squeezing with detection via a microwave cavity , 2008, 0803.1757.

[18]  Erik Lucero,et al.  Quantum ground state and single-phonon control of a mechanical resonator , 2010, Nature.

[19]  G. Vidal,et al.  Computable measure of entanglement , 2001, quant-ph/0102117.

[20]  Sylvain Gigan,et al.  Ground-state cooling of a micromechanical oscillator: Comparing cold damping and cavity-assisted cooling schemes , 2007, 0705.1728.

[21]  W. Zurek,et al.  Quantum discord: a measure of the quantumness of correlations. , 2001, Physical review letters.

[22]  Kaufman,et al.  Routh-Hurwitz criterion in the examination of eigenvalues of a system of nonlinear ordinary differential equations. , 1987, Physical review. A, General physics.

[23]  J Eisert,et al.  Gently modulating optomechanical systems. , 2009, Physical review letters.