{
  "abstract": "We express the stochastic limit (weak-coupling limit) of a quantum system interacting with its environment as the limit of solutions to a parametrized family of quantum stochastic differential equations (QSDEs). We prove the convergence of such solutions in the case where the driving processes may be non-Markovian and the system may be infinite-dimensional with unbounded Hamiltonian. We achieve this by imposing a particular condition on the n-point functions of the driving process which we verify for annihilation, creation, and gauge operators on a bosonic Fock space with sufficient mixing. Additionally, we include not only the usual fast-evolving system Hamiltonian which is averaged out in the limit, but also a slow-evolving system Hamiltonian which survives the limit. We also relax the requirement for the fast-evolving Hamiltonian to have a purely discrete spectrum allowing accumulation points under some circumstances. Moreover, our convergence mode for the processes is convergence of all time-centered n-point functions which is stronger than the typical semigroup convergence for the stochastic limit.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06202",
  "author_total": 1,
  "authors": [
    {
      "name": "Tanner J. Reese"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8snr2p9akn4mb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06202",
  "fulltext_url": null,
  "id": "8snr2p9akn4mb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06202",
  "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",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.OA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06202",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8snr2p9akn4mb.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:20:56Z",
      "native_id": "2611.06202",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06202"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "The Quantum Stochastic Limit for Non-Markovian Driving Processes",
  "title_text": "The Quantum Stochastic Limit for Non-Markovian Driving Processes",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:30Z",
  "url": "https://research.draconitic.com/paper/8snr2p9akn4mb",
  "venue": "arXiv",
  "versions": []
}