{
  "annotation_id": "433e04f2-bdbb-47f5-911c-d8dda5cab1e0",
  "date_created": "2026-03-02T18:02:12.706000Z",
  "date_modified": "2026-03-02T18:02:12.706000Z",
  "file_hash": "4556e038334e8dcace77ba9790230df47a557f009d5691b3b89f20bf63aca30a",
  "private": false,
  "record": {
    "abstract": "We study modulational instability of two-component Bose-Einstein condensates\nin an optical lattice, which is modelled as a coupled discrete nonlinear Schr\n\\\"{o}dinger equation. The excitation spectrum and the modulational instability\ncondition of the total system are presented analytically. In the\nlong-wavelength limit, our results agree with the homogeneous two-component\nBose-Einstein condensates case. The discreteness effects result in the\nappearance of the modulational instability for the condensates in miscible\nregion. The numerical calculations confirm our analytical results and show that\nthe interspecies coupling can transfer the instability from one component to\nanother.",
    "arxiv_id": "quant-ph/0412153",
    "authors": [
      "Guang-Ri Jin",
      "Chul Koo Kim",
      "Kyun Nahm"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.other",
      "cond-mat.soft"
    ],
    "doi": "10.1103/PhysRevA.72.045601",
    "journal_ref": "Phys. Rev. A 72, 045601 (2005)",
    "title": "Modulational instability of two-component Bose-Einstein condensates in   an optical lattice",
    "url": "https://arxiv.org/abs/quant-ph/0412153"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dd4db876-4ad2-4997-94f1-1e13613c1f07",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}