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Entanglement Content of Quantum Particle Excitations I. Free Field Theory

Castro-Alvaredo, O. ORCID: 0000-0003-1876-7341, Fazio, C. D., Doyon, B. and Szécsényi, I. M. (2018). Entanglement Content of Quantum Particle Excitations I. Free Field Theory. Journal of High Energy Physics, 39, doi: 10.1007/JHEP10(2018)039

Abstract

We evaluate the entanglement entropy of a single connected region in excited states of one-dimensional massive free theories with finite numbers of particles, in the limit of large volume and region length. For this purpose, we use finite-volume form factor expansions of branch-point twist field two-point functions. We find that the additive contribution to the entanglement due to the presence of particles has a simple "qubit" interpretation, and is largely independent of momenta: it only depends on the numbers of groups of particles with equal momenta. We conjecture that at large momenta, the same result holds for any volume and region lengths, including at small scales. We provide accurate numerical verifications.

Publication Type: Article
Additional Information: This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Publisher Keywords: Field Theories in Lower Dimensions Integrable Field Theories Nonperturbative Effects
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/20775
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