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A Lower Bound on the Critical Momentum of an Impurity in a Bose–Einstein Condensate

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  • Additional Information
    • Publication Information:
      Preprint
    • Publication Information:
      Cellule MathDoc/Centre Mersenne, 2024.
    • Publication Date:
      2024
    • Abstract:
      In the Bogoliubov-Fröhlich model, we prove that an impurity immersed in a Bose-Einstein condensate forms a stable quasi-particle when the total momentum is less than its mass times the speed of sound. The system thus exhibits superfluid behavior, as this quasi-particle does not experience friction. We do not assume any infrared or ultraviolet regularization of the model, which contains massless excitations and point-like interactions.
      10 pages, version accepted for publication in Comptes Rendus Math\'ematique
    • ISSN:
      1778-3569
    • Accession Number:
      10.5802/crmath.652
    • Accession Number:
      10.48550/arxiv.2311.05361
    • Rights:
      arXiv Non-Exclusive Distribution
    • Accession Number:
      edsair.doi.dedup.....8146af3aeab514ac479989e7795a04f6