Cavity-mediated entanglement between levitated nanoparticles

在这个项目中，我们将开发一个全面和现实的理论来关联光学悬浮纳米粒子的旋转平移动力学，以实现基本的量子测试和传感应用。这些粒子被高Q腔中的光学镊子捕获，它们通过镊子光子到普通腔模的相干散射而相互作用。这可以将纳米粒子的运动冷却到深量子区域，并通过将镊子失谐和偏振限制在腔场的量子测量上来产生量子关联和同步。通过考虑粒子之间的非球面形状、大伸展和非线性耦合，并通过对所有相关的退相干机制、测量反向作用和条件反馈驱动进行逼真的建模，我们提供了一个框架，用于设计适合于随机算法优化的实验上现实的方案。

In this project we will develop a comprehensive and realistic theory for correlating the ro-translational dynamics of optically levitated nanoparticles to realize fundamental quantum tests and sensing applications. The particles are trapped by optical tweezers inside a high Q-cavity and they interact via coherent scattering of tweezer photons into common cavity modes. This can cool the nanoparticle motion into the deep quantum regime and generate quantum correlations as well as synchronization by conditioning the tweezer detunings and polarizations on quantum measurements of the cavity field. By accounting for the aspherical shape, large extension, and nonlinear couplings between the particles, and by realistically modeling all relevant decoherence mechanisms, measurement back-actions, and conditioned feedback drivings, we provide a framework for designing experimentally realistic schemes that are amenable to optimization by stochastic algorithms.