{
  "abstract": "Spatially resolved modeling of optically pumped alkali-metal vapors requires the solution of a high-dimensional nonlinear diffusive quantum master equation (DQME) coupled to state-dependent light propagation. We develop a structure-preserving computational framework for this coupled three-dimensional system in the high-pressure limit. The high-fidelity solver combines second-order finite differences, explicit pseudo-time marching, and an exponential-integrator discretization of the light-propagation equation. The scheme preserves the density-matrix trace, while a derived global pseudo-time-step restriction guarantees nonnegative, bound-preserving population updates and frozen-coefficient $1$-norm stability. In the absence of a closed-form solution for the general coupled problem, the solver is verified against complementary analytical reductions, pumping-rate asymptotics, and a light-propagation invariant, all of which are accurately recovered. Tensorized GPU implementation reduces the per-iteration cost by more than two orders of magnitude relative to a single-core CPU. For repeated parameter queries, we further construct an intrusive POD--Galerkin reduced-order model. The quadratic spin-exchange term is treated by an exact nonlinear quadratic expansion, whereas the nonpolynomial and nonlocal optical-pumping term is hyper-reduced using the discrete empirical interpolation method. At out-of-sample parameter points, the reduced model closely reproduces the full-order population and polarization fields while achieving speedup of more than \\(7\\times10^3\\) relative to the single-core CPU full-order solver. The resulting hierarchy connects verified high-fidelity simulation with efficient reduced-order prediction for spatially resolved alkali-metal spin dynamics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.41778",
  "author_total": 7,
  "authors": [
    {
      "name": "Keyu Xu"
    },
    {
      "name": "Kezheng Yan"
    },
    {
      "name": "Jinbo Hu"
    },
    {
      "name": "Yanqing Shi"
    },
    {
      "name": "Xiaorui Xu"
    },
    {
      "name": "Nan Zhao"
    },
    {
      "name": "Qian Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9pdspgx8q6qpd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.41778",
  "fulltext_url": null,
  "id": "9pdspgx8q6qpd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.41778",
  "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",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "arxiv",
      "physics.comp-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.41778",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9pdspgx8q6qpd.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:15Z",
      "native_id": "2610.41778",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.41778"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    }
  ],
  "title": "High-fidelity simulation and reduced-order modeling of optical pumping in quantum devices",
  "title_text": "High-fidelity simulation and reduced-order modeling of optical pumping in quantum devices",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/9pdspgx8q6qpd",
  "venue": "arXiv",
  "versions": []
}