Distribution of quantum gravity induced entanglement in many-body systems - INSPIRE

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Distribution of quantum gravity induced entanglement in many-body systems

Pratik Ghosal
(
- Bose Inst., Kolkata
)
,
Arkaprabha Ghosal
(
- IMSc, Chennai and
- HBNI, Mumbai
)
,
Somshubhro Bandyopadhyay
(
- Bose Inst., Kolkata
)

Nov 14, 2023

34 pages

Published in:

J.Phys.A 57 (2024) 44, 445302,
J.Phys.A 57 (2024) 445302

Published: Oct 15, 2024

e-Print:

2311.08291 [quant-ph]

DOI:

10.1088/1751-8121/ad82bd

View in:

ADS Abstract Service

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Abstract: (IOP)

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.

Note:

v2: Published version; minor changes and edits

quantum entanglement
many-body entanglement
gravity induced entanglement
gravitation
entanglement
many-body problem
quantum state
time dependence
quantum gravity

References(32)

Figures(7)

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