Berlin 2024 – wissenschaftliches Programm

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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: Hauptvortrag

Mittwoch, 20. März 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