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Entanglement of self-interacting scalar fields in an expanding spacetime

Alexander, Helder; de Souza, Gustavo; Mansfield, Paul; da Paz, I.G.; Sampaio, Marcos

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Helder Alexander

Gustavo de Souza

Paul Mansfield

I.G. da Paz

Marcos Sampaio


We evaluate self-interaction effects on the quantum correlations of field modes of opposite momenta for scalar $\lambda \phi^4$ theory in a two-dimensional asymptotically flat Robertson-Walker spacetime. Such correlations are encoded both in the von Neumann entropy defined through the reduced density matrix in one of the modes and in the covariance expressed in terms of the expectation value of the number operators for each mode in the evolved state. The entanglement between field modes carries information about the underlying spacetime evolution.


Alexander, H., de Souza, G., Mansfield, P., da Paz, I., & Sampaio, M. (2016). Entanglement of self-interacting scalar fields in an expanding spacetime. European Physical Society Letters, 115(1), Article 10006.

Journal Article Type Article
Acceptance Date Jul 13, 2016
Online Publication Date Aug 3, 2016
Publication Date Jul 1, 2016
Deposit Date Sep 2, 2016
Publicly Available Date Jul 1, 2017
Journal Europhysics Letters
Print ISSN 0295-5075
Electronic ISSN 1286-4854
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 115
Issue 1
Article Number 10006
Related Public URLs


Accepted Journal Article (203 Kb)

Copyright Statement
This is an author-created, un-copyedited version of an article published in EPL (Europhysics Letters). IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at

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