论文标题
使用最佳控制的机械冷却和挤压
Mechanical cooling and squeezing using optimal control
论文作者
论文摘要
可以通过连续测量其位置随后进行反馈来最佳控制机械系统。我们重新审视完整的形式主义，以预测系统的性能，而无需调用标准旋转波近似和绝热近似。使用这种形式主义，我们使用最佳控制和反馈来推断机械振荡器的条件和无条件状态，从而导致机械冷却和机械挤压。我们发现精确解决方案与近似解决方案之间的差异很大，这强调了使用完整模型的重要性。我们还强调了通过证明这两者在典型的控制方案中也无法重合的条件和无条件状态的重要性，即使具有无限的反馈强度。
A mechanical system can be optimally controlled through continuous measurements of its position followed by feedback. We revisit the complete formalism for predicting the performance of such as system without invoking the standard rotating wave approximations and the adiabatic approximation. Using this formalism we deduce both the conditional and unconditional state of a mechanical oscillator using the optimal control and feedback that leads to mechanical cooling and mechanical squeezing. We find large discrepancies between the exact solutions and the approximate solutions stressing the importance of using the complete model. We also highlight the importance of distinguishing between the conditional and unconditional state by demonstrating that these two cannot coincide in a typical control scheme, even with infinite feedback strength.
