{
  "id": "2311.05361",
  "version": "v1",
  "published": "2023-11-09T13:40:31.000Z",
  "updated": "2023-11-09T13:40:31.000Z",
  "title": "A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate",
  "authors": [
    "Benjamin Hinrichs",
    "Jonas Lampart"
  ],
  "comment": "10 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "math.SP",
    "quant-ph"
  ],
  "abstract": "In the Bogoliubov-Fr\\\"ohlich 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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-09T13:40:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81V73",
      "81Q10",
      "47A10"
    ],
    "keywords": [
      "lower bound",
      "critical momentum",
      "bose-einstein condensate forms",
      "mass times",
      "contains massless excitations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}