Entanglement of self interacting scalar fields in an expanding spacetime

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 dens...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2016-07
Main Authors: Helder, Alexander, de Souza, Gustavo, Mansfield, Paul, da Paz, I G, Sampaio, Marcos
Format: Article
Language:English
Subjects:
Coding
Covariance
Entanglement
Evolution
Relativity
Spacetime
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1607.03159