Quantum manipulation of mechanical oscillators has important applications in fundamental physics and quantum information processing. Ground-state cooling of the mechanical oscillators is the prerequisite for these applications. In this paper, we propose a scheme for cooling double mechanical oscillators simultaneously, in which the parametric processes induced by a degenerate optical parameter amplifier (OPA) change the statistical properties of the cavity field, resulting in the lower average phonon numbers. However, it is worth noting that two mechanical modes with the same frequency cannot be cooled due to destructive interference between the two cooling processes. While two mechanical oscillators with different frequencies can be simultaneously cooled to near their ground-state, and the cooling efficiency can be improved by increasing the parametric gain of OPA.

机械振荡器的量子操纵在基础物理学和量子信息处理中具有重要的应用。机械振荡器的基态冷却是这些应用的先决条件。在本文中，我们提出了一种同时冷却双机械振荡器的方案，其中由简并光学参数放大器（OPA）引起的参数过程改变了腔场的统计特性，从而导致较低的平均声子数。但值得注意的是，由于两种冷却过程之间存在相消干涉，因此无法冷却具有相同频率的两种机械模式。虽然两个不同频率的机械振荡器可以同时冷却到接近它们的基态，