{
  "abstract": "Higher-order time-convolutionless (TCL) master equations provide systematic corrections for non-Markovian dynamics in open quantum systems, but their time-ordered integrals become increasingly costly to evaluate. Direct quadrature of the Hadamard-reduced sixth-order (TCL6) generator at all $N_t$ sampled times requires $O(N_t^3)$ operations at fixed system dimension. We derive an exact reduction for a finite-dimensional system coupled through one Hermitian operator to a stationary centered Gaussian bath. By separating operator coefficients from scalar time-dependent spectral densities, the complete TCL6 time series is reduced to cumulative sums and first-order recurrences, one-dimensional causal convolutions, and an exact dyadic recursion for interlocked sums. With the algorithm, evaluating the complete TCL6 time series requires $O(N_t\\log^2N_t)$ operations. These reductions enable fast, practical simulations of non-Markovian dynamics involving multiphonon and multiphoton processes in open quantum systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.18806",
  "author_total": 3,
  "authors": [
    {
      "name": "Jiahao Chen"
    },
    {
      "name": "Sirui Chen"
    },
    {
      "name": "Dragomir Davidovic"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5wrr2pdrp0xx4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.18806",
  "fulltext_url": null,
  "id": "5wrr2pdrp0xx4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.18806",
  "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",
      "physics.comp-ph"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum Mechanics and Applications"
    ]
  ],
  "openalex": "W7213523777",
  "pdf_url": "https://arxiv.org/pdf/2609.18806",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5wrr2pdrp0xx4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:18Z",
      "native_id": "2609.18806",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.18806"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Fast Evaluation of the Sixth-Order Time-Convolutionless (TCL6) Master-Equation Generator",
  "title_text": "Fast Evaluation of the Sixth-Order Time-Convolutionless (TCL6) Master-Equation Generator",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:18Z",
  "url": "https://research.draconitic.com/paper/5wrr2pdrp0xx4",
  "venue": "arXiv",
  "versions": []
}