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Entanglement resolution of free Dirac fermions on a torus

Foligno, Alessandro
•
Murciano, Sara
•
Calabrese, Pasquale
2023
  • journal article

Periodico
JOURNAL OF HIGH ENERGY PHYSICS
Abstract
Whenever a system possesses a conserved charge, the density matrix splits into eigenspaces associated to the each symmetry sector and we can access the entanglement entropy in a given subspace, known as symmetry resolved entanglement (SRE). Here, we first evaluate the SRE for massless Dirac fermions in a system at finite temperature and size, i.e. on a torus. Then we add a massive term to the Dirac action and we treat it as a perturbation of the massless theory. The charge-dependent entropies turn out to be equally distributed among all the symmetry sectors at leading order. However, we find subleading corrections which depend both on the mass and on the boundary conditions along the torus. We also study the resolution of the fermionic negativity in terms of the charge imbalance between two subsystems. We show that also for this quantity, the presence of the mass alters the equipartition among the different imbalance sectors at subleading order.
DOI
10.1007/JHEP03(2023)096
WOS
WOS:000952034500001
Archivio
https://hdl.handle.net/20.500.11767/136492
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85150734612
https://arxiv.org/abs/2302.08209
Diritti
closed access
Soggetti
  • Field Theories in Low...

  • Global Symmetries

  • Scale and Conformal S...

  • Settore FIS/02 - Fisi...

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