{
  "id": "2307.00045",
  "version": "v1",
  "published": "2023-06-30T18:00:00.000Z",
  "updated": "2023-06-30T18:00:00.000Z",
  "title": "Simple Hamiltonian for Quantum Simulation of Strongly Coupled 2+1D SU(2) Lattice Gauge Theory on a Honeycomb Lattice",
  "authors": [
    "Berndt Müller",
    "Xiaojun Yao"
  ],
  "comment": "16 pages, 3 figures",
  "categories": [
    "quant-ph",
    "hep-lat",
    "hep-ph",
    "nucl-th"
  ],
  "abstract": "We find a simple spin Hamiltonian to describe physical states of $2+1$ dimensional SU(2) lattice gauge theory on a honeycomb lattice with a truncation of the electric field representation at $j_{\\rm max}=\\frac{1}{2}$. The simple spin Hamiltonian only contains local products of Pauli matrices, even though Gauss's law has been completely integrated out.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-30T18:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lattice gauge theory",
      "honeycomb lattice",
      "simple hamiltonian",
      "quantum simulation",
      "simple spin hamiltonian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}