Wave mixing is an archetypical phenomenon in bosonic systems. In optomechanics, the bidirectional conversion between electromagnetic waves or photons at optical frequencies and elastic waves or phonons at radio frequencies is building on precisely this fundamental principle. Surface acoustic waves (SAWs) provide a versatile interconnect on a chip and thus enable the optomechanical control of remote systems. Here we report on the coherent nonlinear three-wave mixing between the coherent fields of two radio frequency SAWs and optical laser photons via the dipole transition of a single quantum dot exciton. In the resolved sideband regime, we demonstrate fundamental acoustic analogues of sum and difference frequency generation between the two SAWs and employ phase matching to deterministically enhance or suppress individual sidebands. This transfer between the acoustic and optical domains is described by theory that fully takes into account direct and virtual multiphonon processes. Finally, we show that the precision of the wave mixing is limited by the frequency accuracy of modern radio frequency electronics.

中文翻译：

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通过单个量子点进行光机械波混合

波混合是玻色系统中的典型现象。在光力学中，光频率的电磁波或光子与射频的弹性波或声子之间的双向转换正是基于这一基本原理。表面声波（SAW）在芯片上提供了通用的互连，因此可以实现对远程系统的光机械控制。在这里，我们通过单个量子点激子的偶极跃迁报告了两个射频声表面波和光激光光子的相干场之间的相干非线性三波混合。在解析的边带机制中，我们演示了两个声表面波之间和频和差频生成的基本声学模拟，并采用相位匹配确定性地增强或抑制了单个边带。声学和光学域之间的这种转移是通过理论来描述的，该理论充分考虑了直接和虚拟多声子过程。最后，我们证明了混波的精度受到现代射频电子设备频率精度的限制。