@Article{Faleiro_etal2020, author="Faleiro, R. and Pavao, R. and Costa, H. A. S. and Hiller, B. and Blin, A. H. and Sampaio, M.", title="Perturbative approach to entanglement generation in QFT using the S matrix", journal="Journal of Physics A", year="2020", publisher="Iop Publishing Ltd", volume="53", number="36", pages="365301 - 19pp", optkeywords="S-matrix; entanglement; QFT; cross-section", abstract="We compute the variation of the von Neumann (VN) entropy Delta Sbetween the asymptoticinandoutmomenta modes of a real scalar field A, when elastically scattered against the modes of another scalar field B. This is done to see how the entanglement between the two fields{\textquoteright} momenta changes under the scattering procedure. The calculation is separated into two case studies, one where the fields{\textquoteright} asymptoticinstates are separable, and another where they are arbitrarily entangled. We perform a perturbative calculation to one loop order in the separable case, and verify that Delta Schanges in a non-trivial way when we vary the momentum of the incoming field modes and/or the coupling of the theory. Finally, also in the separable case, we show an explicit dependence between Delta Sand the cross-section of the collision, consistent with perturbation theory.", optnote="WOS:000563486000001", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=4511), last updated on Wed, 07 Dec 2022 13:19:01 +0000", issn="1751-8113", doi="10.1088/1751-8121/aba214", opturl="https://arxiv.org/abs/1607.01715", opturl="https://doi.org/10.1088/1751-8121/aba214", language="English" }