控制连续变量量子系统的稳定性
Controlling the stability of steady states in continuous variable quantum systems
摘要：
对于典型的阻尼量子谐振子，我们提出了两种基于测量的反馈方案来控制其不动点的稳定性。第一种方案反馈一个类似金字塔的时间延迟参考信号，第二种方案使用一个预定的而不是时间延迟的参考信号。我们表明，这两个计划可以扭转阻尼的影响，把稳定的不动点变成不稳定的。最后，通过采取经典极限$\hbar\rightarrow0$，我们明确区分固有的量子效应和效应，这也将存在于一个经典的噪声反馈回路。特别是，我们指出，一个经典粒子的条件下的噪声测量记录的正确描述是由一个非线性随机福克-普朗克方程，而不是朗之万方程，它具有可观察到的后果，平均只要反馈被认为是。
英文摘要：
For the paradigmatic case of the damped quantum harmonic oscillator we present two measurement-based feedback schemes to control the stability of its fixed point. The first scheme feeds back a Pyragas-like time-delayed reference signal and the second uses a predetermined instead of time-delayed reference signal. We show that both schemes can reverse the effect of the damping by turning the stable fixed point into an unstable one. Finally, by taking the classical limit $\hbar\rightarrow0$ we explicitly distinguish between inherent quantum effects and effects, which would be also present in a classical noisy feedback loop. In particular, we point out that the correct description of a classical particle conditioned on a noisy measurement record is given by a non-linear stochastic Fokker-Planck equation and not a Langevin equation, which has observable consequences on average as soon as feedback is considered.
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