Dynamics in quantum metrology

该项目有三个主要目标：首先，我们想要检查测量动力学在量子计量学中的影响。特别是，我们想要研究，在从可积动力学、混合经典相空间的动力学到混沌动力学的不同场景中，最佳可能的灵敏度如何随测量时间的变化而变化。我们想要详细了解动力学方面是否可以导致与经典传感器相比的“量子增强”，无论是对于驱动量子传感器还是完整量子传感器，如果是这样的话，量子增强在多大程度上允许人们摆脱到目前为止困扰着现有的量子增强传感器的退相干困境。其次，我们希望开发一种新的量词，以获得更接近实验世界的最佳灵敏度。新的量词应该考虑到关于要测量的参数的先验信息，提供可信区间，以及每平方根赫兹的输出灵敏度。第三，我们想提出新的量子增强型传感器的具体概念，这些传感器与SFB/TRR 21中所研究的量子混合系统相关，并且可以在那里实验实现。

The projet has three main objectives: Firstly, we want to examine the influence of the dynamics of measurements in quantum metrology. In particular, we want to investigate, how the best possible sensitivity scales with measurement time in different scenarios ranging from integrable dynamics, over dynamics with a mixed classical phase space, up to chaotic dynamics. We would like to understand in detail whether the dynamics aspect can lead to a "quantum enhancement" compared to classical sensors, both for driven and holonomic quantum sensors, and if so, to what extent the quantum enhancement allows one to escape from the decoherence dilemma that plagues so far existing quantum enhanced sensors. Secondly, we would like to develop a new quantifier for the best possible sensitivity that comes closer to the experimental world. The new quantifier should take into account prior information about the parameters to be measured, deliver confidence intervals, and output sensitivities per square root of Hertz. Thirdly, we want to propose concrete concepts for novel quantum enhanced sensors that are relevant for the quantum hybrid systems investigated in the SFB/TRR 21 and that can be realized there experimentally.