Entanglement generation from gravity: the Diósi-Penrose model

The most popular proposals of table-top experiments to demonstrate the quantum character of gravity involve the measurement of gravitationally induced entanglement. Contrary to popular belief, we show that models of classical gravity interacting with quantum matter are also able to produce entanglement in matter. We study in great detail the most prominent of these: the Diósi-Penrose (DP) model. We show that its entanglement generation capabilities are qualitatively different than those of semi-classical gravity, and that these experiments have the capability to rule out so-far unexplored regions of the parameter space of the DP model.