We study theoretically the generation of strong entanglement of two mechanical oscillators in an unresolved-sideband optomechanical cavity, using a reservoir engineering approach. In our proposal, the effect of unwanted counter-rotating terms is suppressed via destructive quantum interference by the optical field of two auxiliary cavities. For arbitrary values of the optomechanical interaction, the entanglement is obtained numerically. In the weak-coupling regime, we derive an analytical expression for the entanglement of the two mechanical oscillators based on an effective master equation, and obtain the optimal parameters to achieve strong entanglement. Our analytical results are in accord with numerical simulations.

我们使用油藏工程方法从理论上研究了在未解析边带光机械腔中两个机械振荡器的强纠缠的产生。在我们的提议中，不需要的反向旋转项的影响通过两个辅助腔的光场的破坏性量子干涉来抑制。对于光机械相互作用的任意值，纠缠是通过数值获得的。在弱耦合状态下，我们基于有效的主方程推导出两个机械振荡器纠缠的解析表达式，并获得实现强纠缠的最佳参数。我们的分析结果与数值模拟一致。