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

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arxiv 2401.15184 v4 pith:MNEPS66J submitted 2024-01-26 hep-lat cond-mat.stat-mechhep-phhep-thquant-ph

Lukas Ebner , Andreas Schäfer , Clemens Seidl , Berndt Müller , Xiaojun Yao This is my paper · ORCID
classification hep-latcond-mat.stat-mechhep-phhep-thquant-ph
keywords entanglementgaugetheoryentropystateschainsdimensionalelectric
verification ladder T0 review T1 audit T2 compute T3 formal

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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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Local Thermalization of SU(2) Lattice Gauge Fields on Quantum Computers

    hep-lat 2026-03 unverdicted novelty 7.0 of 10

    Quantum hardware simulation of SU(2) lattice gauge thermalization matches classical extrapolations up to 101 plaquettes after error mitigation, establishing feasibility for chaotic quantum field systems.

  2. Eigenstate Thermalization in 1+1-Dimensional SU(2) Lattice Gauge Theory Coupled with Dynamical Fermions

    hep-th 2025-09 conditional novelty 6.0 of 10

    Exact diagonalization shows 1+1D SU(2) lattice gauge theory with dynamical fermions satisfies ETH, including for non-local string operators that display a memory peak.

  3. Dynamical Local Tadpole-Improvement in Quantum Simulations of Gauge Theories

    quant-ph 2025-04 conditional novelty 6.0 of 10

    Tadpole improvement factors in real-time lattice gauge theory simulations are state- and time-dependent and should be updated self-consistently at each time step.

  4. Entanglement entropy of a color flux tube in (1+1)D Yang-Mills theory

    hep-lat 2024-11 accept novelty 6.0 of 10

    For (1+1)D lattice Yang-Mills with static quarks, the flux-tube entanglement entropy is exactly F log(dim R), where F counts boundary crossings and dim R is the color representation dimension.

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