{
  "abstract": "Non-Hermitian spectral topology has transformed our understanding of bulk--boundary correspondence in open systems, yet its exploration has largely remained within the Markovian regime of instantaneous coupling. Here, we reveal how memory shapes non-Hermitian spectral topology by extending coupling asymmetry from space to time. Spatiotemporal nonreciprocity and memory-induced spectral multivaluedness give rise to nontrivial spectral topology on multi-sheeted Riemann surfaces, governed by both spatial connectivity and interaction history. Coherent interference among long-range memory channels can induce anomalous spectral winding and skin localization opposite to the dominant-coupling direction. Moreover, asymmetric retardation alone can generate non-Hermitian spectral topology and skin accumulation even in the absence of spatial coupling asymmetry. Channel dissipation further drives topological transitions that reverse the skin effect, with a critical point at matched channel and lattice decay rates. We validate the anomalous skin effect and its dissipation-controlled reversal through full-wave simulations and microwave experiments. Our results establish time nonlocality as a fundamental degree of freedom in non-Hermitian topology, revealing phenomena inaccessible within the Markovian paradigm.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.41370",
  "author_total": 9,
  "authors": [
    {
      "name": "Hao Pan"
    },
    {
      "name": "Bo Xue"
    },
    {
      "name": "Wanyue Xiao"
    },
    {
      "name": "Qiuyang Li"
    },
    {
      "name": "Yuqiong Cheng"
    },
    {
      "name": "Yumeng Wang"
    },
    {
      "name": "Kun Ding"
    },
    {
      "name": "Alex M. H. Wong"
    },
    {
      "name": "Shubo Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ch6h7d6tg0sv9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.41370",
  "fulltext_url": null,
  "id": "ch6h7d6tg0sv9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.41370",
  "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",
      "physics.optics"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.41370",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ch6h7d6tg0sv9.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:15Z",
      "native_id": "2610.41370",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.41370"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.optics",
      "subfield": "optics-photonics"
    }
  ],
  "title": "Non-Hermitian Spectral Topology Shaped by Memory",
  "title_text": "Non-Hermitian Spectral Topology Shaped by Memory",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:51Z",
  "url": "https://research.draconitic.com/paper/ch6h7d6tg0sv9",
  "venue": "arXiv",
  "versions": []
}