{
  "id": "1312.6107",
  "version": "v3",
  "published": "2013-12-20T20:47:08.000Z",
  "updated": "2014-05-27T19:30:30.000Z",
  "title": "Spectroscopy for a Few Atoms Harmonically-Trapped in One Dimension",
  "authors": [
    "N. L. Harshman"
  ],
  "comment": "version 3: 11 pages, 1 figure, 16 tables. Few corrections of v2 to match published form",
  "journal": "Phys. Rev. A 89, 033633 (2014)",
  "doi": "10.1103/PhysRevA.89.033633",
  "categories": [
    "quant-ph",
    "cond-mat.quant-gas",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Spectroscopic labels for a few particles with spin that are harmonically trapped in one-dimension with effectively zero-range interactions are provided by quantum numbers that characterize the symmetries of the Hamiltonian: permutations of identical particles, parity inversion, and the separability of the center-of-mass. The exact solutions for the non-interacting and infinitely repulsive cases are reduced with respect to these symmetries. This reduction explains how states of single-component and multi-component fermions and bosons transform under adiabatic evolution from non-interacting to strong hard-core repulsion. These spectroscopic methods also clarify previous analytic and numerical results for intermediate values of interaction strength. Several examples, including adiabatic mapping for two-component fermionic states in the cases $N=3-5$, are provided.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-05-27T19:30:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.75.Mn",
      "05.30.Fk",
      "67.85.-d"
    ],
    "keywords": [
      "spectroscopy",
      "two-component fermionic states",
      "strong hard-core repulsion",
      "spectroscopic labels"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2014,
      "month": "Mar",
      "volume": 89,
      "number": 3,
      "pages": "033633"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PhRvA..89c3633H"
    }
  }
}