Universal role of curvature in vacuum entanglement

Fuente: arXiv
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Autores principales: K, Hari, Barman, Subhajit, Kothawala, Dawood
Formato: Preprint
Publicado: 2023
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author K, Hari
Barman, Subhajit
Kothawala, Dawood
author_facet K, Hari
Barman, Subhajit
Kothawala, Dawood
contents We highlight some universal features concerning the role of spacetime curvature in the entanglement induced between quantum probes coupled to a quantum field in a suitable vacuum state. The probes are initially causally disconnected and non-entangled. We explore the parameter space $\{ω, d_0, \boldsymbol{v}_0\}$ spanned by the energy gap $ω$ of the detectors, and the initial values of separation distance $d_0$ and relative velocity $\boldsymbol{v}_0$, both covariantly defined in arbitrary curved spacetime. We also obtain numerical results in de Sitter spacetimes and use these to explore strong curvature regime, while also corroborating our perturbative results in arbitrary curved spacetime. Our analysis shows that curvature can induce entanglement features in certain regions of the above parameter space, in a manner which facilitates using entanglement as a probe of spacetime curvature.
format Preprint
id arxiv_https___arxiv_org_abs_2311_15019
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Universal role of curvature in vacuum entanglement
K, Hari
Barman, Subhajit
Kothawala, Dawood
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Quantum Physics
We highlight some universal features concerning the role of spacetime curvature in the entanglement induced between quantum probes coupled to a quantum field in a suitable vacuum state. The probes are initially causally disconnected and non-entangled. We explore the parameter space $\{ω, d_0, \boldsymbol{v}_0\}$ spanned by the energy gap $ω$ of the detectors, and the initial values of separation distance $d_0$ and relative velocity $\boldsymbol{v}_0$, both covariantly defined in arbitrary curved spacetime. We also obtain numerical results in de Sitter spacetimes and use these to explore strong curvature regime, while also corroborating our perturbative results in arbitrary curved spacetime. Our analysis shows that curvature can induce entanglement features in certain regions of the above parameter space, in a manner which facilitates using entanglement as a probe of spacetime curvature.
title Universal role of curvature in vacuum entanglement
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
Quantum Physics
url https://arxiv.org/abs/2311.15019