Entanglement induced by quantum gravity in an infinite square well

Abstract: In this work, we examine the entanglement dynamics of two massive particles confined within their respective infinite square potential wells induced by gravity. Assuming that each particle is initially in the ground state of its infinite square well, we investigate the formation of entanglement between the particles as a result of their gravitational interaction during their adiabatic movement towards each other. Our results reveal that, under suitable parameters, entanglement swiftly emerges. Compared to previous schemes, our approach significantly reduces the particle mass, greatly lowering the experimental threshold.