{
  "abstract": "In the framework of generalized, nonlocal Gross-Pitaevskii (GP) model, we study numerically the pressure- and size-dependent mechanisms of roton emission and vortex nucleation by objects moving in superfluid $^4$He. As far as the authors are aware, this is the first attempt to analyze the pressure dependence of these mechanisms and the associated critical velocities within a single theoretical framework. For each of several pressures in the range from 0 to the solidification pressure of $\\approx25$~bar, we chose the parameters of the interatomic interaction potential such that the resulting excitation spectrum for the generalized, nonlocal GP equation approximates fairly accurately the pressure-dependent dispersion curve determined experimentally by Godfrin \\textit{et al.}, Phys. Rev. B \\textbf{103}, 104516 (2021). In the two-dimensional approximation, for circular obstacles (disks) moving in quiescent $^4$He, we calculated two critical velocities -- one corresponding to the roton emission and the other to the nucleation of quantized vortices -- as functions of pressure and the obstacle's size. We also comment briefly on three-dimensional simulations of the roton emission and vortex nucleation by moving spherical obstacles.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.24075",
  "author_total": 4,
  "authors": [
    {
      "name": "Nicolás Pablo Müller"
    },
    {
      "name": "Ladislav Skrbek"
    },
    {
      "name": "Yuri A. Sergeev"
    },
    {
      "name": "Giorgio Krstulovic"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9wxgy1g5aj34x.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.24075",
  "fulltext_url": null,
  "id": "9wxgy1g5aj34x",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.24075",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.quant-gas"
    ],
    [
      "openalex",
      "3107|Quantum, superfluid, helium dynamics"
    ]
  ],
  "openalex": "W7162429140",
  "pdf_url": "https://arxiv.org/pdf/2605.24075",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9wxgy1g5aj34x.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:36Z",
      "native_id": "2605.24075",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.24075"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "amo"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Pressure and Size Dependence of Roton Emission and Vortex Creation by Moving Objects in He~II in $T \\to 0$ Limit: Generalized Nonlocal Gross-Pitaevskii Model",
  "title_text": "Pressure and Size Dependence of Roton Emission and Vortex Creation by Moving Objects in He~II in T → 0 Limit: Generalized Nonlocal Gross-Pitaevskii Model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:36Z",
  "url": "https://research.draconitic.com/paper/9wxgy1g5aj34x",
  "venue": "arXiv",
  "versions": []
}