AI 中文总结
该研究提出通过在大质量振子附近放置导电结构增强库仑相互作用的方法，利用宏观量子电动力学推导有效运动动力学，结合连续位置测量可使振子在更大距离产生稳态运动纠缠，为量子控制大质量物体及探索相关纠缠提供资源。
AI 中文摘要
我们提出一种通过在带电宏观机械振子附近放置导电结构来增强其库仑相互作用的方法。利用宏观量子电动力学推导了两个振子的有效运动动力学，表明导体中感应的镜像电荷从根本上改变了静电相互作用的范围。对于圆柱形导线的特定情况，我们预测相干运动耦合从自由空间标度$1/D^3$变为对振子间距离$D$的渐近$1/(D\ln^2 D)$依赖，且低频振子的额外退相干可忽略不计。进一步表明，结合连续位置测量时，增强的相互作用能使振子间在比自由空间大得多的距离上产生稳态运动纠缠。对于实验上实际的毫克级振子，预测在几百微米的距离上可观测到纠缠，比自由空间能力超出一个数量级以上，未来系统中改进接近两个数量级。这些结果表明导体辅助的库仑相互作用是量子控制大质量物体和探索由基本中心力产生的纠缠的一种资源。
英文摘要
We propose a method to enhance Coulomb interaction between charged macroscopic mechanical oscillators by placing a conducting structure in their vicinity. We derive the effective motional dynamics of the two oscillators using macroscopic quantum electrodynamics and show that image charges induced in the conductor fundamentally modify the range of the electrostatic interaction. For the specific case of a cylindrical wire, we predict that the coherent motional coupling changes from the free-space scaling $1/D^3$ to an asymptotic $1/(D\ln^2 D)$ dependence on the separation $D$ between the oscillators, at the cost of only negligible additional decoherence for low-frequency oscillators. We further show that, when combined with continuous position measurements, the enhanced interaction enables the generation of steady-state motional entanglement between the oscillators over significantly larger distances than achievable in free space. For experimentally realistic milligram-scale oscillators, we predict observable entanglement at separations of several hundred microns -- more than an order of magnitude beyond free-space capabilities -- with improvements approaching two orders of magnitude in future systems. These results identify conductor-assisted Coulomb interactions as a resource for quantum control of massive objects and for the exploration of entanglement generated by fundamental central forces.
Comments9+10 pages, 4 figures
