{
  "id": "cond-mat/0604338",
  "version": "v1",
  "published": "2006-04-13T11:33:27.000Z",
  "updated": "2006-04-13T11:33:27.000Z",
  "title": "Derivation of a Matrix Product Representation for the Asymmetric Exclusion Process from Algebraic Bethe Ansatz",
  "authors": [
    "O. Golinelli",
    "K. Mallick"
  ],
  "comment": "16 pages",
  "journal": "J. Phys. A: Math. Gen. 39 (2006) 10647-10658",
  "doi": "10.1088/0305-4470/39/34/004",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We derive, using the algebraic Bethe Ansatz, a generalized Matrix Product Ansatz for the asymmetric exclusion process (ASEP) on a one-dimensional periodic lattice. In this Matrix Product Ansatz, the components of the eigenvectors of the ASEP Markov matrix can be expressed as traces of products of non-commuting operators. We derive the relations between the operators involved and show that they generate a quadratic algebra. Our construction provides explicit finite dimensional representations for the generators of this algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-04-13T11:33:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asymmetric exclusion process",
      "algebraic bethe ansatz",
      "matrix product representation",
      "matrix product ansatz",
      "explicit finite dimensional representations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2006,
      "month": "Aug",
      "volume": 39,
      "number": 34,
      "pages": 10647
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006JPhA...3910647G"
    }
  }
}