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Symmetry resolved entanglement of excited states in quantum field theory. Part I. Free theories, twist fields and qubits

Capizzi, L., Castro-Alvaredo, O. ORCID: 0000-0003-1876-7341, De Fazio, C. , Mazzoni, M. & Santamaría-Sanz, L. (2022). Symmetry resolved entanglement of excited states in quantum field theory. Part I. Free theories, twist fields and qubits. Journal of High Energy Physics, 2022(12), 127. doi: 10.1007/jhep12(2022)127

Abstract

The excess entanglement resulting from exciting a finite number of quasiparticles above the ground state of a free integrable quantum field theory has been investigated quite extensively in the literature. It has been found that it takes a very simple form, depending only on the number of excitations and their statistics. There is now mounting evidence that such formulae also apply to interacting and even higher-dimensional quantum theories. In this paper we study the entanglement content of such zero-density excited states focusing on the symmetry resolved entanglement, that is on 1+1D quantum field theories that possess an internal symmetry. The ratio of charged moments between the excited and grounds states, from which the symmetry resolved entanglement entropy can be obtained, takes a very simple and universal form, which in addition to the number and statistics of the excitations, now depends also on the symmetry charge. Using form factor techniques, we obtain both the ratio of moments and the symmetry resolved entanglement entropies in complex free theories which possess U(1) symmetry. The same formulae are found for simple qubit states.

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, Global Symmetries, Integrable Field Theories
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Departments: School of Science & Technology > Mathematics
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