Universal scaling of the logarithmic negativity in massive quantum field theory

DOI10.1088/1751-8113/49/12/125401zbMATH Open1343.81028arXiv1508.04026OpenAlexW3104636511MaRDI QIDQ2994761

Author name not available (Why is that?)

Publication date: 3 August 2016

Published in: (Search for Journal in Brave)

Abstract: We consider the logarithmic negativity, a measure of bipartite entanglement, in a general unitary 1+1-dimensional massive quantum field theory, not necessarily integrable. We compute the negativity between a finite region of length $r$ and an adjacent semi-infinite region, and that between two semi-infinite regions separated by a distance $r$. We show that the former saturates to a finite value, and that the latter tends to zero, as $rightarrowinfty$. We show that in both cases, the leading corrections are exponential decays in $r$ (described by modified Bessel functions) that are solely controlled by the mass spectrum of the model, independently of its scattering matrix. This implies that, like the entanglement entropy, the logarithmic negativity displays a very high level of universality, allowing one to extract information about the mass spectrum. Further, a study of sub-leading terms shows that, unlike the entanglement entropy, a large-$r$ analysis of the negativity allows for the detection of bound states.

Full work available at URL: https://arxiv.org/abs/1508.04026

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: Universal scaling of the logarithmic negativity in massive quantum field theory

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2994761)