https://doi.org/10.1140/epjc/s10052-024-13212-8
Regular Article – Theoretical Physics
Symmetry-resolved entanglement entropy for local and non-local QFTs
1
School of Physics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19568-36681, Tehran, Iran
2
School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19568-36681, Tehran, Iran
3
Ershad Damavand, Institute of Higher Education (EDI), P.O. Box 14168-34311, Tehran, Iran
4
Department of Physics, Central Tehran Branch, Islamic Azad University (IAU), P.O. Box 14676-86831, Tehran, Iran
Received:
3
June
2024
Accepted:
7
August
2024
Published online:
23
August
2024
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 Rényi 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 Rényi entropies.
© The Author(s) 2024
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