Mechanical Entanglement via Detuned Parametric Amplification

Abstract

We propose two schemes to generate entanglement between a pair of mechanical oscillators using parametric amplification. In contrast to existing parametric drive-based protocols, both schemes operate in the steady-state. Using a detuned parametric drive to maintain equilibrium and to couple orthogonal quadratures, our approach can be viewed as a two-mode extension of previous proposals for parametric squeezing. We find that robust steady-state entanglement is possible for matched oscillators with well-controlled coupling. In addition, one of the proposed schemes is robust to differences in the damping rates of the two oscillators.

13 pages, 2 figures

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• Ultrasensitive hysteretic force sensing with parametric nonlinear oscillators
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• Remote Macroscopic Entanglement on a Photonic Crystal Architecture
• Mechanical entanglement detection in an optomechanical system