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

Ebner, Lukas and Schaefer, Andreas and Seidl, Clemens and Mueller, Berndt and Yao, Xiaojun (2024) Entanglement entropy of (2+1)-dimensional SU(2) lattice gauge theory on plaquette chains. PHYSICAL REVIEW D, 110 (1): 014505. ISSN 2470-0010, 2470-0029

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: ;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Depositing User: Dr. Gernot Deinzer
Date Deposited: 29 Jul 2025 08:30
Last Modified: 29 Jul 2025 08:30
URI: https://pred.uni-regensburg.de/id/eprint/64088

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