Entanglement of self-interacting scalar fields in an expanding spacetime

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

Abstract

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.

Citation

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. https://doi.org/10.1209/0295-5075/115/10006

• 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
• DOI: https://doi.org/10.1209/0295-5075/115/10006
• Public URL: https://durham-repository.worktribe.com/output/1377082
• Related Public URLs: https://arxiv.org/abs/1607.03159