{
  "annotation_id": "15911728-eaf9-4aee-bcfa-5839317a829a",
  "date_created": "2026-02-17T05:53:26.431000Z",
  "date_modified": "2026-02-17T05:53:26.431000Z",
  "file_hash": "075f4f2721ec7069a41fcf27ce2ac1a3cd2f21d172f25100da01ab7a31313e24",
  "private": false,
  "record": {
    "abstract": "The rotating shallow water equations (RSWE) are a mainstay of atmospheric and oceanic modeling, and their wave dynamics has close analogues in settings ranging from two-dimensional electron gases to active-matter fluids. While recent work has emphasized the topological character of RSWE wave bands, here we develop a complementary quantum-geometric description by computing the full quantum geometric tensor (QGT) for the linearized RSWE on an $f$-plane. The QGT unifies two pieces of band geometry: its real part defines a metric that quantifies how rapidly wave polarization changes with parameters, while its imaginary part is the Berry curvature that controls geometric phases and topological invariants. We obtain compact, symmetry-guided expressions for all three bands, highlighting the transverse structure of the metric and the monopole-like Berry curvature that yields Chern numbers for the Poincar\\\u0027e bands. Finally, we describe a feasible route to probing this geometry in rotating-tank experiments via weak, time-periodic parametric driving.",
    "arxiv_id": "2601.10695",
    "authors": [
      "Sriram Ganeshan",
      "Alan T. Dorsey"
    ],
    "categories": [
      "physics.flu-dyn",
      "cond-mat.mes-hall",
      "physics.ao-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Quantum geometry of the rotating shallow water model",
    "url": "https://arxiv.org/abs/2601.10695",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8e493b3e-5a24-440d-805e-a9d819495019",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}