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Universal scaling of the logarithmic negativity in massive quantum field theory

Research output: Contribution to journalArticlepeer-review

Olivier Blondeau-Fournier, Olalla A. Castro-Alvaredo, Benjamin Doyon

Original languageEnglish
Article number125401
Number of pages22
JournalJournal of Physics A
Issue number12
Accepted/In press4 Jan 2016
Published9 Feb 2016


  • ttcorrelator

    ttcorrelator.pdf, 366 KB, application/pdf

    Uploaded date:03 Apr 2016

    Version:Accepted author manuscript

King's Authors


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 . 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 (EE), 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 EE, a large-r analysis of the negativity allows for the detection of bound states.

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