{
  "abstract": "Chirality in active and passive fluids gives rise to odd transport properties, most notably the emergence of robust edge currents that defy standard dissipative dynamics. While these phenomena are well-described by continuum hydrodynamics, the topological analogy with quantum systems, widely invoked to explain their robustness, has lacked a concrete discrete realization. Here, we present a lattice model for an isotropic chiral random walk that bridges the gap between classical stochastic diffusion and unitary quantum evolution. By equipping the walker with an internal degree of freedom and a tunable chirality parameter, p, we interpolate between a standard diffusive random walk and a deterministic, topologically non-trivial quantum walk. We show that signatures of the topologically protected edge states characteristic of the unitary limit (p=1) persist into the dissipative regime (p<1), decaying anomalously slowly compared to bulk excitations. This correspondence allows us to theoretically ground the robustness of edge flows in classical &#xD;chiral systems using the bulk-boundary correspondence of Floquet topological insulators. Our results provide a discrete, effective description for odd diffusion, offering a powerful toolkit to predict transport in confined geometries and disordered chiral media.",
  "abstract_shown": true,
  "affiliations": [
    "University of Gdańsk",
    "University of Potsdam Faculty of Science"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Jan W{\\'o}jcik"
    },
    {
      "affs": [
        1
      ],
      "name": "Erik Kalz",
      "orcid": "0000-0003-3294-7365"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/540y0b25h7a1x.bib",
  "cited_by": 0,
  "doi": "10.1088/1367-2630/aeaf77",
  "fulltext_url": null,
  "id": "540y0b25h7a1x",
  "issns": [
    "1367-2630"
  ],
  "landing_url": "https://iopscience.iop.org/article/10.1088/1367-2630/aeaf77",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "feed-journal",
      "physics/general"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7216175506",
  "pdf_url": "https://iopscience.iop.org/article/10.1088/1367-2630/aeaf77/pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": "IOP Publishing",
  "ris": "https://research.draconitic.com/paper/540y0b25h7a1x.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:56Z",
      "native_id": "10.1088/1367-2630/aeaf77",
      "source": "crossref",
      "url": "https://iopscience.iop.org/article/10.1088/1367-2630/aeaf77"
    },
    {
      "first_seen": "2026-11-06T18:20:58Z",
      "native_id": "10.1088/1367-2630/aeaf77",
      "source": "feed-iop",
      "url": "https://iopscience.iop.org/article/10.1088/1367-2630/aeaf77"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3107|Topological Materials and Phenomena",
      "subfield": "amo"
    }
  ],
  "title": "The chiral random walk: A quantum-inspired framework for odd diffusion",
  "title_text": "The chiral random walk: A quantum-inspired framework for odd diffusion",
  "type": "peer-reviewed",
  "updated_at": "2026-11-08T00:20:58Z",
  "url": "https://research.draconitic.com/paper/540y0b25h7a1x",
  "venue": "New Journal of Physics",
  "versions": []
}