Robust macroscopic matter-wave interferometry with solids

Matter-wave interferometry with solids is highly susceptible to minute fluctuations of environmental fields, including gravitational effects from distant sources. Hence, experiments require a degree shielding that extraordinarily challenging achieve in realistic terrestrial or even space-based setups. Here, we design protocols exploit the spatial correlations are inherent perturbations due sources reduce significantly their impact on visibility interference patterns. We show patterns robust such type noise can be encoded joint probability distribution two more interferometers, provided these initialized suitable states. develop general framework makes use $N+1$ which may differ masses, correct for potential fields up order $N$ multipole expansion. Remarkably, our approach works fluctuate stochastically any timescale and does not presence quantum among different interferometers. Finally, also same ideas extended protection entanglement between pairs