{
  "id": "2003.13708",
  "version": "v1",
  "published": "2020-03-30T18:00:07.000Z",
  "updated": "2020-03-30T18:00:07.000Z",
  "title": "Superdiffusion from emergent classical solitons in quantum spin chains",
  "authors": [
    "Jacopo De Nardis",
    "Sarang Gopalakrishnan",
    "Enej Ilievski",
    "Romain Vasseur"
  ],
  "comment": "4.5+10 pages. 2 figures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.str-el",
    "quant-ph"
  ],
  "abstract": "Finite-temperature spin transport in the quantum Heisenberg spin chain is known to be superdiffusive, and has been conjectured to lie in the Kardar-Parisi-Zhang (KPZ) universality class. Using a kinetic theory of transport, we compute the KPZ coupling strength for the Heisenberg chain as a function of temperature, directly from microscopics; the results agree well with density-matrix renormalization group simulations. We establish a rigorous quantum-classical correspondence between the ``giant quasiparticles'' that govern superdiffusion and solitons in the classical continuous Landau-Lifshitz ferromagnet. We conclude that KPZ universality has the same origin in classical and quantum integrable isotropic magnets: a finite-temperature gas of low-energy classical solitons.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-30T18:00:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum spin chains",
      "emergent classical solitons",
      "superdiffusion",
      "quantum heisenberg spin chain",
      "density-matrix renormalization group simulations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}