{
  "abstract": "We propose an analog quantum-simulation protocol based on a lattice of atomic ensembles and time-averaged Floquet dynamics to construct the four-body potentials that typically appear in bosonic BFSS-like matrix quantum mechanics. In contrast to gate-based digital implementations requiring deep circuits, our approach generates the target model through a fixed set of control stages per Floquet cycle, keeping the number of consecutive unitaries constant with respect to the matrix size $N$. The principal scaling cost in our construction is given by the frequency range required to control the growing lattice. We show that this cost grows at most as $\\mathcal{O}(N^3)$, giving a polynomial scaling route to large$-N$, attractive to experimental implementation. Additionally, we demonstrate that the coupling parameter can be tuned beyond $\\mathcal{O}(1)$, enabling the simulation of strong-coupling physics necessary for holographic phases.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.05613",
  "author_total": 2,
  "authors": [
    {
      "name": "Robin Löwenberg"
    },
    {
      "name": "Julian Sonner"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0ga0tjmc4agfg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.05613",
  "fulltext_url": null,
  "id": "0ga0tjmc4agfg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.05613",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.quant-gas"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "physics.atom-ph"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7212022912",
  "pdf_url": "https://arxiv.org/pdf/2609.05613",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0ga0tjmc4agfg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2609.05613",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.05613"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "amo"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Matrix Holography on an Optical Lattice",
  "title_text": "Matrix Holography on an Optical Lattice",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:21Z",
  "url": "https://research.draconitic.com/paper/0ga0tjmc4agfg",
  "venue": "arXiv",
  "versions": []
}