{
  "id": "1901.08944",
  "version": "v1",
  "published": "2019-01-25T16:02:51.000Z",
  "updated": "2019-01-25T16:02:51.000Z",
  "title": "Domain wall dynamics in the Landau--Lifshitz magnet and the classical-quantum correspondence of spin transport",
  "authors": [
    "Oleksandr Gamayun",
    "Yuan Miao",
    "Enej Ilievski"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "We investigate the dynamics of spin in the axially anisotropic Landau--Lifshitz field theory with a magnetic domain wall initial condition. Employing the analytic scattering technique, we obtain the exact scattering data and reconstruct the time-evolved profile. We identify three qualitatively distinct regimes of spin transport, ranging from ballistic expansion in the easy-plane regime, absence of transport in the easy-axis regime and log-modified diffusion for the isotropic interaction. Our results are in perfect qualitative agreement with those found in the anisotropic quantum Heisenberg spin-$1/2$ chain, indicating a remarkable classical-quantum correspondence of macroscopic spin transport.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-25T16:02:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spin transport",
      "domain wall dynamics",
      "classical-quantum correspondence",
      "landau-lifshitz magnet",
      "anisotropic landau-lifshitz field theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}