{
  "id": "2212.10863",
  "version": "v1",
  "published": "2022-12-21T09:09:56.000Z",
  "updated": "2022-12-21T09:09:56.000Z",
  "title": "Quantum simulation of two-dimensional $\\mathrm{U(1)}$ gauge theory in Rydberg atom arrays",
  "authors": [
    "Zheng Zhou",
    "Zheng Yan",
    "Changle Liu",
    "Yan Chen",
    "Xue-Feng Zhang"
  ],
  "comment": "7 pages, 4 figures and supplemental materials 7 pages, 5 figues. arXiv admin note: substantial text overlap with arXiv:2106.05518",
  "categories": [
    "quant-ph",
    "cond-mat.stat-mech",
    "cond-mat.str-el",
    "physics.atom-ph"
  ],
  "abstract": "Simulating $\\mathrm{U(1)}$ quantum gauge theories with spatial dimension greater than one is of great physical significance yet has not been achieved experimentally. Here we propose a simple realization of $\\mathrm{U(1)}$ gauge theory on triangular lattice Rydberg atom arrays. Within experimentally accessible range, we find that the effective model well simulates various aspects of the $\\mathrm{U(1)}$ gauge theory, such as emergence of topological sectors, incommensurability, and the deconfined Rokhsar-Kivelson point. Our proposal is easy to implement experimentally and exhibits pronounced quantum dynamics compared with previous proposals realizing $\\mathrm{U(1)}$ and $\\mathbb Z_2$ gauge theories.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-21T09:09:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gauge theory",
      "quantum simulation",
      "triangular lattice rydberg atom arrays",
      "two-dimensional",
      "spatial dimension greater"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}