{
  "annotation_id": "f0da58e3-81fa-4bf1-9bb1-0fee339d4e23",
  "date_created": "2026-03-02T18:02:07.126000Z",
  "date_modified": "2026-03-02T18:02:07.126000Z",
  "file_hash": "bf029040ecf8194813a9b8f3c6078f3b8de1852d2d514eeb6fe488044862d69b",
  "private": false,
  "record": {
    "abstract": "Small quantum fluctuations in solitons described by the cubic-quintic\nnonlinear Schr\\\"{o}dinger equation (CQNLSE) are studied with the linear\napproximation. The cases of both self-defocusing and self-focusing quintic term\nare considered (in the latter case, solitons may be effectively stable, despite\nthe possibility of collapse). The numerically implemented back-propagation\nmethod is used to calculate the optimal squeezing ratio for the quantum\nfluctuations vs. the propagation distance. In the case of the self-defocusing\nquintic nonlinearity, opposite signs in front of the cubic and quintic terms\nmake the fluctuations around bistable pairs of solitons (which have different\nenergies for the same width) totally different. The fluctuations around\nnonstationary Gaussian pulses in the CQNLSE model are studied too.",
    "arxiv_id": "quant-ph/0402164",
    "authors": [
      "Ray-Kuang Lee",
      "Yinchieh Lai",
      "Boris A. Malomed"
    ],
    "categories": [
      "quant-ph",
      "nlin.PS"
    ],
    "doi": "10.1088/1464-4266/6/9/001",
    "journal_ref": "J. Opt. B, 6, 367 (2004).",
    "title": "Quantum Fluctuations around Bistable Solitons in the Cubic-Quintic   nonlinear Schr\\\"{o}dinger equation",
    "url": "https://arxiv.org/abs/quant-ph/0402164"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d5a6fd79-8805-452e-9618-7942fa77d65d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}