{
  "abstract": "We introduce a time-dependent two-particle (TP) reduced-density-matrix algorithm for systems of interacting Majorana fermions. We close the BBGKY hierarchy at the two-particle level by reconstructing the three-particle reduced density matrix from lower-order correlations. To stabilize the evolution, we impose a positivity projection on the two-particle density matrix while preserving chosen conserved quantities such as the energy. We benchmark the approach on quenches in the one-dimensional Hubbard model and on flux dynamics in the Kitaev honeycomb model. For the Hubbard quench, TP captures strong-coupling dynamics missed by Hartree--Fock (HF). For the Kitaev quenches, TP accurately reproduces the early-time flux dynamics in several regimes and provides a substantial improvement over HF when two-particle correlations are important. We further show that gauge coherence is essential for flux dynamics. The projection procedure however introduces an effective irreversibility, which affects the long-time dynamics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.23993",
  "author_total": 2,
  "authors": [
    {
      "name": "Haoran Wang"
    },
    {
      "name": "Alessandro Principi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/esa57xnxms1qe.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.23993",
  "fulltext_url": null,
  "id": "esa57xnxms1qe",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.23993",
  "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",
      "cond-mat.str-el"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7214007654",
  "pdf_url": "https://arxiv.org/pdf/2609.23993",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/esa57xnxms1qe.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2609.23993",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.23993"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "A Majorana Formulation of Time-Dependent Two-Particle Reduced-Density-Matrix Dynamics",
  "title_text": "A Majorana Formulation of Time-Dependent Two-Particle Reduced-Density-Matrix Dynamics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:19Z",
  "url": "https://research.draconitic.com/paper/esa57xnxms1qe",
  "venue": "arXiv",
  "versions": []
}