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Entanglement of self-interacting scalar fields in an expanding spacetime.

Alexander, Helder and de Souza, Gustavo and Mansfield, Paul and da Paz, I. G. and Sampaio, Marcos (2016) 'Entanglement of self-interacting scalar fields in an expanding spacetime.', Europhysics letters., 115 (1). p. 10006.


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.

Item Type:Article
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Publisher 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
Date accepted:13 July 2016
Date deposited:07 September 2016
Date of first online publication:03 August 2016
Date first made open access:03 August 2017

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