Superselection-resolved entanglement in lattice gauge theories: a tensor network approach

Noa Feldman*, Johannes Knaute, Erez Zohar, Moshe Goldstein

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Lattice gauge theories (LGT) play a central role in modern physics, providing insights into high-energy physics, condensed matter physics, and quantum computation. Due to the nontrivial structure of the Hilbert space of LGT systems, entanglement in such systems is tricky to define. However, when one limits themselves to superselection-resolved entanglement, that is, entanglement corresponding to specific gauge symmetry sectors (commonly denoted as superselection sectors), this problem disappears, and the entanglement becomes well-defined. The study of superselection-resolved entanglement is interesting in LGT for an additional reason: when the gauge symmetry is strictly obeyed, superselection-resolved entanglement becomes the only distillable contribution to the entanglement. In our work, we study the behavior of superselection-resolved entanglement in LGT systems. We employ a tensor network construction for gauge-invariant systems as defined by Zohar and Burrello [1] and find that, in a vast range of cases, the leading term in superselection-resolved entanglement depends on the number of corners in the partition — corner-law entanglement. To our knowledge, this is the first case of such a corner-law being observed in any lattice system.

Original languageAmerican English
Article number83
JournalJournal of High Energy Physics
Issue number5
StatePublished - May 2024

Bibliographical note

Publisher Copyright:
© The Author(s) 2024.


  • Confinement
  • Gauge Symmetry
  • Lattice Quantum Field Theory
  • Topological States of Matter


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