Symmetry-Resolved Entanglement Entropy for Local and Non-local QFTs
Abstract
In this paper, we investigate symmetry-resolved entanglement entropy (SREE) in free bosonic quantum many-body systems. Utilizing a lattice regularization scheme, we compute symmetry-resolved R\'enyi entropies for free complex scalar fields and a specific class of non-local field theories, where entanglement entropy (EE) exhibits volume-law scaling. We present effective and approximate eigenvalues for the correlation matrix used in computing SREE and demonstrate their consistency with numerical results. Furthermore, we explore the equipartition of EE, verifying its effective behavior in the massless limit. Finally, we comment on EE in non-local quantum field theories and provide an explicit expression for the symmetry-resolved R\'enyi entropies.
Keywords
Cite
@article{arxiv.2311.00494,
title = {Symmetry-Resolved Entanglement Entropy for Local and Non-local QFTs},
author = {Reza Pirmoradian and Mohammad Reza Tanhayi},
journal= {arXiv preprint arXiv:2311.00494},
year = {2025}
}
Comments
28 pages, 15 figs, References added, To appear in EPJC