{
  "abstract": "We develop a process tensor approach for calculating the finite-temperature spectral functions of lattice polarons. We show that the finite-temperature phonon influence functional can be expressed as the elementwise exponential of a low-rank matrix product state, enabling an efficient summation of electron worldlines. An embedding construction embeds worldlines of different propagation times into a single matrix product state. This construction yields the propagator over the full simulated time interval in a single calculation. We benchmark this approach against available finite-temperature density-matrix renormalization group results for the one-dimensional Holstein polaron. We further obtain numerically converged spectra for the two-dimensional Holstein polaron. The spectra reveal a progressive transfer of spectral weight from coherent spectral features into an incoherent background with increasing temperature.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.27582",
  "author_total": 2,
  "authors": [
    {
      "name": "Qi Gao"
    },
    {
      "name": "Yuan Wan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c9rtsxkgd57vg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.27582",
  "fulltext_url": null,
  "id": "c9rtsxkgd57vg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.27582",
  "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.str-el"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7223126994",
  "pdf_url": "https://arxiv.org/pdf/2610.27582",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c9rtsxkgd57vg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2610.27582",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.27582"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Finite-temperature spectral functions of lattice polarons with process tensors",
  "title_text": "Finite-temperature spectral functions of lattice polarons with process tensors",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:04Z",
  "url": "https://research.draconitic.com/paper/c9rtsxkgd57vg",
  "venue": "arXiv",
  "versions": []
}