A scheme is proposed to cool two mechanical resonators simultaneously to the quantum ground state, whatever sideband resolution, in an optomechanical system with χ⁽²⁾ nonlinear medium, where the cavity light is squeezed. By selecting the system parameters appropriately, the influence from cavity dissipation can be completely removed and the quantum backaction heating is suppressed at the same time. It is found that the cooling performance is determined by the coupling strength and frequency detuning between two mechanical resonators. The numerical results indicate that the final phonon occupancy of the two mechanical resonators is no longer strictly limited by the sideband resolution and the cooling scheme can work well no matter in weak or strong effective optomechanical coupling regime.

中文翻译：

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腔内压缩光同时冷却两个机械谐振器

提出了一种方案，将两个机械谐振器同时冷却到量子基态，无论边带分辨率如何，在具有 χ ⁽²⁾非线性介质的光机械系统中，腔光被压缩。通过适当地选择系统参数，可以完全除去腔耗散的影响，并且同时抑制量子留下加热。发现冷却性能由两个机械谐振器之间的耦合强度和频率失谐决定。数值结果表明，两个机械谐振器的最终声子占有率不再受到边带分辨率的严格限制，无论在弱有效光机耦合还是强有效光机耦合状态下，冷却方案都可以很好地工作。