English

Distribution of quantum gravity induced entanglement in many-body systems

Quantum Physics 2024-10-16 v2 General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.2311.08291,
  title  = {Distribution of quantum gravity induced entanglement in many-body systems},
  author = {Pratik Ghosal and Arkaprabha Ghosal and Somshubhro Bandyopadhyay},
  journal= {arXiv preprint arXiv:2311.08291},
  year   = {2024}
}

Comments

v2: Published version; minor changes and edits