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Journal of High Energy Physics
Article . 2022 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Journal of High Energy Physics
Article . 2022
Data sources: DOAJ
https://dx.doi.org/10.48550/ar...
Article . 2022
License: arXiv Non-Exclusive Distribution
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Symmetry resolved entanglement of excited states in quantum field theory. Part II. Numerics, interacting theories and higher dimensions

Authors: Luca Capizzi; Cecilia De Fazio; Michele Mazzoni; Lucía Santamaría-Sanz; Olalla A. Castro-Alvaredo;

Symmetry resolved entanglement of excited states in quantum field theory. Part II. Numerics, interacting theories and higher dimensions

Abstract

Abstract In a recent paper we studied the entanglement content of zero-density excited states in complex free quantum field theories, focusing on the symmetry resolved entanglement entropy (SREE). By zero-density states we mean states consisting of a fixed, finite number of excitations above the ground state in an infinite-volume system. The SREE is defined for theories that possess an internal symmetry and provides a measure of the contribution to the total entanglement of each symmetry sector. In our work, we showed that the ratio of Fourier-transforms of the SREEs (i.e. the ratio of charged moments) takes a very simple and universal form for these states, which depends only on the number, statistics and symmetry charge of the excitations as well as the relative size of the entanglement region with respect to the whole system’s size. In this paper we provide numerical evidence for our formulae by computing functions of the charged moments in two free lattice theories: a 1D Fermi gas and a complex harmonic chain. We also extend our results in two directions: by showing that they apply also to excited states of interacting theories (i.e. magnon states) and by developing a higher dimensional generalisation of the branch point twist field picture, leading to results in (interacting) higher-dimensional models.

Country
Thailand
Keywords

Global Symmetries, High Energy Physics - Theory, Quantum Physics, Statistical Mechanics (cond-mat.stat-mech), Field Theories in Lower Dimensions, Physics, Física, 500, FOS: Physical sciences, QC770-798, 530, Field theories in lower dimensions, High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity, Integrable Field Theories, Integrable field theories, Quantum Physics (quant-ph), Condensed Matter - Statistical Mechanics

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
16
Top 10%
Average
Top 10%
Green
gold