Quantum entanglement of masses with non-local gravitational interaction

Understand

We examine the quantum gravitational entanglement of two test masses in the context of linearized General Relativity with specific non-local interaction with matter.

• To accomplish this, we consider an energy-momentum tensor describing two test particles of equal mass with each possessing some non-zero momentum.
• After discussing the quantization of the linearized theory, we compute the gravitational energy shift which is operator-valued in this case.
• As compared to the local gravitational interaction, we find that the change in the gravitational energy due to the self-interaction terms is finite.