{
  "id": "0709.2866",
  "version": "v1",
  "published": "2007-09-18T16:52:13.000Z",
  "updated": "2007-09-18T16:52:13.000Z",
  "title": "Bose-Einstein condensates with attractive 1/r interaction: The case of self-trapping",
  "authors": [
    "I. Papadopoulos",
    "P. Wagner",
    "G. Wunner",
    "J. Main"
  ],
  "comment": "7 pages, 7 figures, to appear in Phys. Rev. A",
  "journal": "Phys. Rev. A 76 (2007) 053604",
  "doi": "10.1103/PhysRevA.76.053604",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Amplifying on a proposal by O'Dell et al. for the realization of Bose-Einstein condensates of neutral atoms with attractive $1/r$ interaction, we point out that the instance of self-trapping of the condensate, without external trap potential, is physically best understood by introducing appropriate \"atomic\" units. This reveals a remarkable scaling property: the physics of the condensate depends only on the two parameters $N^2 a/a_u$ and $\\gamma/N^2$, where $N$ is the particle number, $a$ the scattering length, $a_u$ the \"Bohr\" radius and $\\gamma$ the trap frequency in atomic units. We calculate accurate numerical results for self-trapping wave functions and potentials, for energies, sizes and peak densities, and compare with previous variational results. As a novel feature we point out the existence of a second solution of the extended Gross-Pitaevskii equation for negative scattering lengths, with and without trapping potential, which is born together with the ground state in a tangent bifurcation. This indicates the existence of an unstable collectively excited state of the condensate for negative scattering lengths.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-18T16:52:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.75.Hh",
      "34.20.Cf",
      "34.80.Qb",
      "04.40.-b"
    ],
    "keywords": [
      "bose-einstein condensates",
      "interaction",
      "self-trapping",
      "negative scattering lengths",
      "attractive"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2007,
      "month": "Nov",
      "volume": 76,
      "number": 5,
      "pages": "053604"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007PhRvA..76e3604P"
    }
  }
}