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  • Letter
  • Open Access

SU(2) gauge theory in 2+1 dimensions on a plaquette chain obeys the eigenstate thermalization hypothesis

Xiaojun Yao*

  • InQubator for Quantum Simulation, Department of Physics, University of Washington, Seattle, Washington 98195, USA

  • *xjyao@uw.edu
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Phys. Rev. D 108, L031504 – Published 18 August, 2023

DOI: https://doi.org/10.1103/PhysRevD.108.L031504

Abstract

We test the eigenstate thermalization hypothesis (ETH) for 2+1 dimensional SU(2) lattice gauge theory. By considering the theory on a chain of plaquettes and truncating basis states for link variables at j=1/2, we can map it onto a quantum spin chain with local interactions and numerically exactly diagonalize the Hamiltonian for reasonably large lattice sizes. We find energy level repulsion in momentum sectors with no remaining discrete symmetry. We study two local observables made up of Wilson loops and calculate their matrix elements in the energy eigenbasis, which are shown consistent with the ETH.

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Eigenstate thermalization in (2+1)-dimensional SU(2) lattice gauge theory

Lukas Ebner, Andreas Schäfer, Clemens Seidl, Berndt Müller, and Xiaojun Yao
Phys. Rev. D 109, 014504 (2024)

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Phys. Rev. D 108, L031504– Published 18 August, 2023
  • Received 4 April 2023
  • Accepted 26 July 2023
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