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SYQI: Symposium Entanglement in Quantum Information, Condensed Matter and Gravity
SYQI 1: Entanglement in quantum information, condensed matter and gravity
SYQI 1.4: Invited Talk
Wednesday, March 20, 2024, 16:30–17:00, H 0105
Gauge Symmetry-Resolved Entanglement in Lattice Gauge Theories: A Tensor Network Approach — Noa Feldman1, Johannes Knaute2, Erez Zohar2, and •Moshe Goldstein1 — 1Raymond and Beverly Sackler School of Physics and Astronomy, Tel-Aviv University, Tel Aviv 6997801, Israel — 2Racah Institute of Physics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel
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 [New J. Phys. 18, 043008 (2016)] 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.
Keywords: entanglement; symmetry; lattice gauge theory; tensor network