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Alice falls into a black hole: Entanglement in noninertial frames

Alice falls into a black hole: Entanglement in noninertial frames
Alice falls into a black hole: Entanglement in noninertial frames

Two observers determine the entanglement between two free bosonic modes by each detecting one of the modes and observing the correlations between their measurements. We show that a state which is maximally entangled in an inertial frame becomes less entangled if the observers are relatively accelerated. This phenomenon, which is a consequence of the Unruh effect, shows that entanglement is an observer-dependent quantity in noninertial frames. In the high acceleration limit, our results can be applied to a nonaccelerated observer falling into a black hole while the accelerated one barely escapes. If the observer escapes with infinite acceleration, the state's distillable entanglement vanishes.

0031-9007
Fuentes-Schuller, I.
c6d65a4c-feac-44c1-9097-e0f6a9e0cf44
Mann, R. B.
acb6fbee-dc8b-4277-9738-0cdde2e40bec
Fuentes-Schuller, I.
c6d65a4c-feac-44c1-9097-e0f6a9e0cf44
Mann, R. B.
acb6fbee-dc8b-4277-9738-0cdde2e40bec

Fuentes-Schuller, I. and Mann, R. B. (2005) Alice falls into a black hole: Entanglement in noninertial frames. Physical Review Letters, 95 (12), [120404]. (doi:10.1103/PhysRevLett.95.120404).

Record type: Article

Abstract

Two observers determine the entanglement between two free bosonic modes by each detecting one of the modes and observing the correlations between their measurements. We show that a state which is maximally entangled in an inertial frame becomes less entangled if the observers are relatively accelerated. This phenomenon, which is a consequence of the Unruh effect, shows that entanglement is an observer-dependent quantity in noninertial frames. In the high acceleration limit, our results can be applied to a nonaccelerated observer falling into a black hole while the accelerated one barely escapes. If the observer escapes with infinite acceleration, the state's distillable entanglement vanishes.

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Published date: 16 September 2005

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Local EPrints ID: 480247
URI: http://eprints.soton.ac.uk/id/eprint/480247
ISSN: 0031-9007
PURE UUID: 8c966db7-6d4d-474f-8cc0-2d43f7e4fda0

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Date deposited: 01 Aug 2023 17:11
Last modified: 17 Mar 2024 00:34

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Author: R. B. Mann

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