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.
@article{arxiv.1402.6392,
title = {Mechanical Entanglement via Detuned Parametric Amplification},
author = {Alex Szorkovszky and Aashish A. Clerk and Andrew C. Doherty and Warwick P. Bowen},
journal= {arXiv preprint arXiv:1402.6392},
year = {2015}
}