Entanglement entropy of ( 2 + 1 )-dimensional SU(2) lattice gauge theory on plaquette chains

Ebner, Lukas; Schäfer, Andreas; Seidl, Clemens; Müller, Berndt; Yao, Xiaojun

doi:10.1103/PhysRevD.110.014505

Entanglement entropy of ( $2 + 1$ )-dimensional SU(2) lattice gauge theory on plaquette chains

Journal Article · Tue Jul 09 00:00:00 EDT 2024 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.110.014505· OSTI ID:2396396

; Schäfer, Andreas; ; ;

We study the entanglement entropy of Hamiltonian SU(2) lattice gauge theory in $2 + 1$ dimensions on linear plaquette chains and show that the entanglement entropies of both ground and excited states follow Page curves. The transition of the subsystem size dependence of the entanglement entropy from the area law for the ground state to the volume law for highly excited states is found to be described by a universal crossover function. Quantum many-body scars in the middle of the spectrum, which are present in the electric flux truncated Hilbert space, where the gauge theory can be mapped onto an Ising model, disappear when higher electric field representations are included in the Hilbert space basis. This suggests the continuum ( $2 + 1$ )-dimensional SU(2) gauge theory does not have such scarred states.

Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: FG02-05ER41367; SC0020970

OSTI ID:: 2396396

Alternate ID(s):: OSTI ID: 2579500
OSTI ID: 2916486

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 1 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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