Distribution of quantum gravity induced entanglement in many-body systems

Understand

Recently, it was shown that if two distant test masses, each in a spatially superposed quantum state, become entangled due to their mutual gravitational interaction, then this entanglement could serve as evidence of the quantum nature of gravity.

• We extend this treatment to a many-body system in a general setup and study the entanglement properties of the time-evolved state.
• We exactly compute the time-dependent I-concurrence for every bipartition and obtain the necessary and sufficient condition for the creation of genuine many-body entanglement.
• We further show that this entanglement is of generalised GHZ type when certain conditions are met.