{
  "id": "2409.09618",
  "version": "v1",
  "published": "2024-09-15T05:46:55.000Z",
  "updated": "2024-09-15T05:46:55.000Z",
  "title": "Bethe ansatz approach for the steady state of the asymmetric simple exclusion process with open boundaries",
  "authors": [
    "Xin Zhang",
    "Fa-Kai Wen"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the asymmetric simple exclusion process with non-diagonal boundary terms under a specific constraint. A symmetric chiral basis is constructed and a special string solution of the Bethe ansatz equations corresponding to the steady state is presented. Using the coordinate Bethe ansatz method, we derive a concise expression for the steady state. The current and density profile in the steady state are also studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-15T05:46:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asymmetric simple exclusion process",
      "steady state",
      "bethe ansatz approach",
      "open boundaries",
      "coordinate bethe ansatz method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}