Quantum ground-state cooling and tripartite entanglement with three-mode optoacoustic interactions

Abstract

We present a quantum analysis of three-mode optoacoustic parametric interactions in an optical cavity, in which two orthogonal transverse optical-cavity modes are coupled to one acoustic mode through radiation pressure. Due to the optimal frequency matching -- the frequency separation of two cavity modes is equal to the acoustic-mode frequency -- the carrier and sideband fields simultaneously resonate and coherently build up. This mechanism significantly enhances the optoacoustic couplings in the quantum regime. It allows exploration of quantum behavior of optoacoustic interactions in small-scale table-top experiments. We show explicitly that given an experimentally achievable parameter, three-mode scheme can realize quantum ground-state cooling of milligram scale mechanical oscillators and create robust stationary tripartite optoacoustic quantum entanglements.

20 pages, 5 figures

References in corpus (21)

• Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
• Optomechanical entanglement between a movable mirror and a cavity field
• Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
• Theory of ground state cooling of a mechanical oscillator using dynamical back-action
• Radiation-pressure cooling and optomechanical instability of a micro-mirror
• Self-cooling of a micro-mirror by radiation pressure
• Resolved Sideband Cooling of a Micromechanical Oscillator
• Ground-state cooling of a micromechanical oscillator: generalized framework for cold damping and cavity-assisted cooling schemes
• Cooling of a micro-mechanical oscillator using radiation pressure induced dynamical back-action
• Cooling a nanomechanical resonator with quantum back-action
• Feedback cooling of a cantilever's fundamental mode below 5 mK
• An all-optical trap for a gram-scale mirror
• Creating and probing macroscoping entanglement with light
• Steady state entanglement in the mechanical vibrations of two dielectric membranes
• Optical dilution and feedback cooling of a gram-scale oscillator to 6.9 mK
• Simultaneous cooling and entanglement of mechanical modes of a micromirror in an optical cavity
• Multimode uncertainty relations and separability of continuous variable states
• Entanglement of macroscopic test masses and the Standard Quantum Limit in laser interferometry
• Observation of Three Mode Parametric Interactions in Long Optical Cavities
• Analysis of Parametric Oscillatory Instability in Signal Recycled LIGO Interferometer
• Three-mode opto-acoustic parametric interactions with coupled cavity

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• Proposal for an Optomechanical Microwave Sensor at the Subphoton Level
• Design of a quasi-2D photonic crystal optomechanical cavity with tunable, large $x^2$-coupling
• Phase noise and laser-cooling limits of optomechanical oscillators
• Brillouin Cooling
• Pathway interference in a loop array of three coupled microresonators
• Coherent coupling completes an unambiguous optomechanical classification framework
• Generation of multipartite entangled states based on double-longitudinal-mode cavity optomechanial system
• Non-Markovian environment induced chaos in optomechanical system
• Three mode interaction noise in laser interferometer gravitational wave detectors
• Nonreciprocity of intense light field and weak quantum signal in optomechanical systems with three-mode parametric interactions
• Entanglement generation in capacitively coupled Transmon-cavity system