Entangled states and the gravitational quantum well

Abstract

We study the continuous variable entanglement of a system of two particles under the influence of the Earth's gravitational field. We determine a phase-space description of this bipartite system by calculating its Wigner function and verify its entanglement by applying a generalization of the PPT criterion for non-Gaussian states. We also examine the influence of gravity on entangled states at different potentials based on the correlation of states of the gravitational quantum well.