Entanglement Entropy of ($2+1$)-Dimensional SU(2) Lattice Gauge Theory on Plaquette Chains

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.

14 pages, 16 figures; v2: update the discussions of area-volume transition and scars; v3: published version; v4: corrected a typo in the legend of Fig.7

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Cited by in corpus (12)

• Quantum Computing for Energy Correlators
• Quantum Many-Body Scarring in a Non-Abelian Lattice Gauge Theory
• Non-abelian symmetry-resolved entanglement entropy
• Hilbert space fragmentation at the origin of disorder-free localization in the lattice Schwinger model
• Emergent Hydrodynamic Mode on SU(2) Plaquette Chains and Quantum Simulation
• Entanglement Properties of SU(2) Gauge Theory
• Mass-Assisted Local Deconfinement in a Confined ${\mathbb{Z}}_2$ Lattice Gauge Theory
• Field digitization scaling in a ${\mathbb{Z}}_N\subset U(1)$ symmetric model
• The Magic Barrier before Thermalization
• From Confinement to Chaos in AdS/CFT Correspondence via Non-equilibrium Local States
• Eigenstate Thermalization in 1+1-Dimensional SU(2) Lattice Gauge Theory Coupled with Dynamical Fermions
• Disorder-Free Localization and Fragmentation in a Non-Abelian Lattice Gauge Theory