A compact detector for space-time metric and curvature is highly desirable. Here we show that quantum spatial superpositions of mesoscopic objects, of the type which would in principle become possible with a combination of state of the art techniques and taking into account the known sources of decoherence, could be exploited to create such a detector. By using Stern-Gerlach (SG) interferometry with masses much larger than atoms, where the interferometric signal is extracted by measuring spins, we show that accelerations as low as $5\times10^{-15}\textrm{ms}^{-2}\textrm{Hz}^{-1/2}$ or better, as well as the frame dragging effects caused by the Earth, could be sensed. Constructing such an apparatus to be non-symmetric would also enable the direct detection of curvature and gravitational waves (GWs). The GW sensitivity scales differently from the stray acceleration sensitivity, a unique feature of MIMAC. We have identified mitigation mechanisms for the known sources of noise, namely Gravity Gradient Noise (GGN), uncertainty principle and electro-magnetic forces. Hence it could potentially lead to a meter sized, orientable and vibrational noise (thermal/seismic) resilient detector of mid (ground based) and low (space based) frequency GWs from massive binaries (the predicted regimes are similar to those targeted by atom interferometers and LISA).

中文翻译：

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用于公制和曲率 (MIMAC) 和引力波探测的细观干涉

非常需要用于时空度量和曲率的紧凑型检测器。在这里，我们展示了介观物体的量子空间叠加，原则上可以通过结合最先进的技术并考虑到已知的退相干源来实现这种类型，可以用来创建这样的探测器。通过使用质量远大于原子的 Stern-Gerlach (SG) 干涉测量法，通过测量自旋提取干涉测量信号，我们表明加速度低至 $5\times10^{-15}\textrm{ms}^{-2 }\textrm{Hz}^{-1/2}$ 或更好，以及地球造成的帧拖拽效果，都可以被感知到。将这种非对称装置构造成可以直接检测曲率和引力波 (GW)。GW 灵敏度与杂散加速度灵敏度不同，这是 MIMAC 的一个独特功能。我们已经确定了已知噪声源的缓解机制，即重力梯度噪声 (GGN)、不确定性原理和电磁力。因此，它可能会导致来自大规模双星的中（地基）和低（空基）频率 GW 的米级、可定向和振动噪声（热/地震）弹性探测器（预测的机制类似于原子干涉仪的目标）和丽莎）。