{
  "abstract": "Non-reciprocal lattices offer a flexible setting for directional wave transport, raising the question of how enhanced internal scattering translates into transmission between fixed external ports. We address this question for non-reciprocal Su--Schrieffer--Heeger (SSH) chains with staggered gain and loss by relating the reference-dependent insertion kernel $K_p=VG_pV$ to the coherent transmission intensity $T$. On a fixed finite graph, a strong-insertion expansion gives a contribution proportional to $γ^{1-d}$, whose coefficient is the signed sum of shortest directed paths of length $d$. When this sum is nonzero, it sets the leading behavior independently of fixed diagonal losses; when it cancels, those losses can enter the first surviving higher-order term. For a fixed cross-sublattice endpoint channel, transmission has a strictly negative slope at every nonzero differentiable stationary point of the kernel magnitude. In the weak-insertion regime, the reference-system coefficient $χ=-\\mathrm{Re}\\,\\mathrm{Tr}[(G_{0p}Z)^2]$ predicts the initial transmission change for symmetric SSH ports, and $χ>0$ together with a strictly stable baseline guarantees local stable enhancement. Finite-chain calculations and driven dynamics connect these results to observable response and distinguish asymptotic convergence from transient settling. A strictly dissipative short-chain example exhibits local enhancement without net power gain. Together, these results separate graph-path structure, coherent port response, and dynamical establishment, providing channel-specific criteria for interpreting internal scattering.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.09387",
  "author_total": 2,
  "authors": [
    {
      "name": "Xudong Zhang"
    },
    {
      "name": "Bin Guo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6f9c4dgw98d7e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.09387",
  "fulltext_url": null,
  "id": "6f9c4dgw98d7e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.09387",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum Mechanics and Non-Hermitian Physics"
    ]
  ],
  "openalex": "W7220906397",
  "pdf_url": "https://arxiv.org/pdf/2610.09387",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6f9c4dgw98d7e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2610.09387",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.09387"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Distance Structure of Insertion Kernels and Local Port Response in Non-Reciprocal Su--Schrieffer--Heeger Chains",
  "title_text": "Distance Structure of Insertion Kernels and Local Port Response in Non-Reciprocal Su--Schrieffer--Heeger Chains",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/6f9c4dgw98d7e",
  "venue": "arXiv",
  "versions": []
}