Distribution of quantum gravity induced entanglement in many-body
systems
- URL: http://arxiv.org/abs/2311.08291v1
- Date: Tue, 14 Nov 2023 16:37:32 GMT
- Title: Distribution of quantum gravity induced entanglement in many-body
systems
- Authors: Pratik Ghosal, Arkaprabha Ghosal, and Somshubhro Bandyopadhyay
- Abstract summary: Recently, it was shown that two distant test masses, each prepared in a spatially superposed quantum state, become entangled through 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
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Recently, it was shown that two distant test masses, each prepared in a
spatially superposed quantum state, become entangled through their mutual
gravitational interaction. This entanglement, it was argued, is a signature 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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