Distribution of quantum gravity induced entanglement in many-body systems
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913545940107264 |
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| author | Ghosal, Pratik Ghosal, Arkaprabha Bandyopadhyay, Somshubhro |
| author_facet | Ghosal, Pratik Ghosal, Arkaprabha Bandyopadhyay, Somshubhro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_08291 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Distribution of quantum gravity induced entanglement in many-body systems Ghosal, Pratik Ghosal, Arkaprabha Bandyopadhyay, Somshubhro Quantum Physics General Relativity and Quantum Cosmology 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. |
| title | Distribution of quantum gravity induced entanglement in many-body systems |
| topic | Quantum Physics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2311.08291 |