{
  "abstract": "We theoretically identify observable consequences of spatial and spin symmetries on the dynamics of a small XXZ quantum simulator. Our proposed protocol relies on the choice of suitable initial states, and involves the measurement scheme whose experimental implementation is the simplest. We analyze a system of N = 2n = 6 to 12 particles, trapped in a planar geometry comprised of two rings which exhibits point group symmetry D nh . The particles represent effective spins whose interaction is described by the XXZ or Heisenberg Hamiltonian. The system is prepared in an initial state which is sitewise-factorized and invariant under all spatial symmetries, it evolves for a given time, after which the z-components of all N spins are measured. We show that symmetries dictate (i) the qualitative behavior of the measurement probabilities as a function of the evolution time, and (ii) the number of measurement results with different probabilities. We highlight the role of a twofold rotation of all spins. We also demonstrate that, in larger systems, the collapse of the initial state may be observed.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "David Papoular"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8b4sqtzwfxd9x.bib",
  "cited_by": 0,
  "doi": "10.1088/1751-8121/aeae7b",
  "fulltext_url": null,
  "id": "8b4sqtzwfxd9x",
  "issns": [
    "1751-8113",
    "1751-8121"
  ],
  "landing_url": "https://hal.science/hal-05803311v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.phys"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W4416966067",
  "pdf_url": "https://hal.science/hal-05803311/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": "IOP Publishing",
  "ris": "https://research.draconitic.com/paper/8b4sqtzwfxd9x.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:58Z",
      "native_id": "hal-05803311",
      "source": "hal",
      "url": "https://hal.science/hal-05803311v1"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3107|Quantum many-body systems",
      "subfield": "amo"
    }
  ],
  "title": "Measured dynamics of an XXZ quantum simulator in a highly symmetrical double-ringed geometry",
  "title_text": "Measured dynamics of an XXZ quantum simulator in a highly symmetrical double-ringed geometry",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:58Z",
  "url": "https://research.draconitic.com/paper/8b4sqtzwfxd9x",
  "venue": "Journal of Physics A: Mathematical and Theoretical",
  "versions": []
}