Gravitational Entanglement Limits for Gaussian States

This paper investigates the feasibility of using gravitationally induced entanglement to probe the quantum nature of gravity. It focuses on a system of two particles in harmonic traps interacting solely through gravity, analyzing the entanglement generated from thermal and squeezed initial states. The study provides insights into the limitations of entanglement generation, identifying a maximum temperature for thermal states and demonstrating that squeezing the initial state extends the observable temperature range. The paper's significance lies in quantifying the extremely small amount of entanglement generated, emphasizing the experimental challenges in observing quantum gravitational effects.