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Entanglement in an expanding spacetime

Entanglement in an expanding spacetime
Entanglement in an expanding spacetime

We show that a dynamical spacetime generates entanglement between modes of a quantum field. Conversely, the entanglement encodes information concerning the underlying spacetime structure, which hints at the prospect of applications of this observation to cosmology. Here we illustrate this point by way of an analytically exactly soluble example, that of a scalar quantum field on a two-dimensional asymptotically flat Robertson-Walker expanding spacetime. We explicitly calculate the entanglement in the far future, for a quantum field residing in the vacuum state in the distant past. In this toy universe, it is possible to fully reconstruct the parameters of the cosmic history from the entanglement entropy.

0375-9601
550-554
Ball, Jonathan L.
783e58e2-00d4-494d-89bf-cea6e51b857a
Fuentes-Schuller, Ivette
c6d65a4c-feac-44c1-9097-e0f6a9e0cf44
Schuller, Frederic P.
7a174ab0-917b-4193-8514-03154ad0d680
Ball, Jonathan L.
783e58e2-00d4-494d-89bf-cea6e51b857a
Fuentes-Schuller, Ivette
c6d65a4c-feac-44c1-9097-e0f6a9e0cf44
Schuller, Frederic P.
7a174ab0-917b-4193-8514-03154ad0d680

Ball, Jonathan L., Fuentes-Schuller, Ivette and Schuller, Frederic P. (2006) Entanglement in an expanding spacetime. Physics Letters, Section A: General, Atomic and Solid State Physics, 359 (6), 550-554. (doi:10.1016/j.physleta.2006.07.028).

Record type: Article

Abstract

We show that a dynamical spacetime generates entanglement between modes of a quantum field. Conversely, the entanglement encodes information concerning the underlying spacetime structure, which hints at the prospect of applications of this observation to cosmology. Here we illustrate this point by way of an analytically exactly soluble example, that of a scalar quantum field on a two-dimensional asymptotically flat Robertson-Walker expanding spacetime. We explicitly calculate the entanglement in the far future, for a quantum field residing in the vacuum state in the distant past. In this toy universe, it is possible to fully reconstruct the parameters of the cosmic history from the entanglement entropy.

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More information

Published date: 11 December 2006
Additional Information: Funding Information: The authors would like to thank Stefan Hofmann for useful discussions. J.L.B. acknowledges financial support from Keble College in Oxford and EPSRC, and thanks Perimeter Institute for its generous hospitality.

Identifiers

Local EPrints ID: 480243
URI: http://eprints.soton.ac.uk/id/eprint/480243
ISSN: 0375-9601
PURE UUID: 744b8dff-b4d1-4913-93f3-dce31759e419

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Date deposited: 01 Aug 2023 17:11
Last modified: 05 Jun 2024 18:32

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Contributors

Author: Jonathan L. Ball
Author: Frederic P. Schuller

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