Mesoscopic Interference for Metric and Curvature (MIMAC) & Gravitational Waves

We introduce a method for sensing space-time metric and curvature using a Stern-Gerlach interferometer for mesoscopic objects in which the interferometric signal is extracted by measuring spins. We explore the use of masses much larger than atoms to obtain high sensitivities per particle traversing the interferometer, while at the same time keeping the size of the whole apparatus restricted to be at most meter. We show that with potential feasible advancement of techniques, not only can accelerations as low as 5*10^(-16)ms^(-2)Hz^(1/2) be sensed, but also the frame dragging effects caused by the Earth. The apparatus is non-symmetric, which also enables the detection of curvature, as well as gravitational waves (GWs). In the latter context, we find that it can be used as a meter sized (compact), orientable and vibrational (thermal/seismic) noise resilient detector of low frequency GWs from massive binaries (same regime as those targeted by LISA).