Distribution of quantum gravity induced entanglement in many-body systems

• URL: http://arxiv.org/abs/2311.08291v2
• Date: Wed, 09 Oct 2024 16:19:26 GMT
• Title: Distribution of quantum gravity induced entanglement in many-body systems
• Authors: Pratik Ghosal, Arkaprabha Ghosal, Somshubhro Bandyopadhyay,
• Abstract summary: We show that two distant test masses, each in a spatially superposed quantum state, become entangled due to their mutual gravitational interaction. We extend this treatment to a many-body system in a general setup and study the entanglement properties of the time-evolved state.
• Score: 14.37149160708975
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• Abstract: 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. We also evaluate the amount of multipartite entanglement in the system using a set of generalised Meyer-Wallach measures.

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