论文标题
使用量子光机械系统的时间相关重力场的最佳估计
Optimal estimation of time-dependent gravitational fields with quantum optomechanical systems
论文作者
论文摘要
我们研究了在非线性方案中使用理想的光力学系统来实现的基本灵敏度，以测量时间依赖时间的重力场。使用最近开发的方法，用时间依赖的哈密顿量求解非线性光力系统的动力学，我们计算由于重力而引起的机械元素线性位移的量子渔民信息。我们证明，不仅可以通过注入腔场的挤压状态来进一步增强灵敏度，而且还可以通过调节光机械系统的光耦合来进一步增强灵敏度。我们将结果特别应用于来自小振荡质量的重力场的测量，我们表明，可以根据实验参数检测到振荡纳米克质量的重力场，这些引力场在近期未来可能可以访问。最后，我们确定了使用量子光力传感器重力波检测所需的实验参数状态。
We study the fundamental sensitivity that can be achieved with an ideal optomechanical system in the nonlinear regime for measurements of time-dependent gravitational fields. Using recently developed methods to solve the dynamics of a nonlinear optomechanical system with a time-dependent Hamiltonian, we compute the quantum Fisher information for linear displacements of the mechanical element due to gravity. We demonstrate that the sensitivity can not only be further enhanced by injecting squeezed states of the cavity field, but also by modulating the light--matter coupling of the optomechanical system. We specifically apply our results to the measurement of gravitational fields from small oscillating masses, where we show that, in principle, the gravitational field of an oscillating nano-gram mass can be detected based on experimental parameters that will likely be accessible in the near-term future. Finally, we identify the experimental parameter regime necessary for gravitational wave detection with a quantum optomechanical sensor.
