{
  "abstract": "We construct the spatial-gauge-singlet Hamiltonian of pure SU(2) lattice gauge theory in $3+1$ dimensions ($3+1$D) on qubits under the minimal truncation $j_{\\rm max}=1/2$, building on previous work on the hyperhoneycomb lattice, and test the eigenstate thermalization hypothesis (ETH). By enforcing Gauss's law and exploiting the redundancy among gauge-invariant loop operators, we find the minimal set of independent loop variables that can be bijectively mapped onto qubits, and write the Hamiltonian as a sum of Pauli strings. An $n\\times n\\times n$ lattice with fixed boundary conditions requires $2(n-1)^3+3(n-1)^2$ qubits. We exactly diagonalize the Hamiltonian on a $2\\times 3\\times 3$ lattice and identify the coupling range of quantum ergodicity from the level statistics. At the ergodic coupling $g=0.3$, we calculate the matrix elements of local energy density operators and the entanglement entropies of all eigenstates and find them consistent with the ETH. These results show that the $3+1$D truncated SU(2) lattice gauge theory thermalizes in accordance with the ETH and provide a benchmark for future real-time quantum simulations of non-equilibrium dynamics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.36608",
  "author_total": 2,
  "authors": [
    {
      "name": "Ziyuan Li"
    },
    {
      "name": "Xiaojun Yao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9wmt8v9aqe7c5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.36608",
  "fulltext_url": null,
  "id": "9wmt8v9aqe7c5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.36608",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "hep-lat"
    ],
    [
      "arxiv",
      "hep-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7224118209",
  "pdf_url": "https://arxiv.org/pdf/2610.36608",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9wmt8v9aqe7c5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2610.36608",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.36608"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    }
  ],
  "title": "Spin Hamiltonian for Quantum Simulation of Minimally Truncated $3+1$D SU(2) Lattice Gauge Theory and Testing Eigenstate Thermalization",
  "title_text": "Spin Hamiltonian for Quantum Simulation of Minimally Truncated 3+1D SU(2) Lattice Gauge Theory and Testing Eigenstate Thermalization",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:50Z",
  "url": "https://research.draconitic.com/paper/9wmt8v9aqe7c5",
  "venue": "arXiv",
  "versions": []
}