{
  "id": "2107.04442",
  "version": "v1",
  "published": "2021-07-09T13:46:10.000Z",
  "updated": "2021-07-09T13:46:10.000Z",
  "title": "Can the Macroscopic Fluctuation Theory be Quantized ?",
  "authors": [
    "Denis Bernard"
  ],
  "comment": "28 pages plus references, 5 figures. Prepared as a contribution to a special volume of Journal of Physics A on \"Hydrodynamics of Low-Dimensional Quantum Systems\"",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP",
    "quant-ph"
  ],
  "abstract": "The Macroscopic Fluctuation Theory is an effective framework to describe transports and their fluctuations in classical out-of-equilibrium diffusive systems. Whether the Macroscopic Fluctuation Theory may be extended to the quantum realm and which form this extension may take is yet terra incognita but is a timely question. In this short introductory review, I discuss possible questions that a quantum version of the Macroscopic Fluctuation Theory could address and how analysing Quantum Simple Exclusion Processes yields pieces of answers to these questions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-09T13:46:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "macroscopic fluctuation theory",
      "simple exclusion processes yields pieces",
      "quantum simple exclusion processes yields",
      "analysing quantum simple exclusion processes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}