{
  "id": "2411.04089",
  "version": "v1",
  "published": "2024-11-06T18:08:48.000Z",
  "updated": "2024-11-06T18:08:48.000Z",
  "title": "Disorder-Order Interface Propagating over the Ferromagnetic Ground State in the Transverse Field Ising Chain",
  "authors": [
    "Vanja Marić",
    "Florent Ferro",
    "Maurizio Fagotti"
  ],
  "comment": "21 pages, 13 figures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn",
    "cond-mat.str-el",
    "quant-ph"
  ],
  "abstract": "We consider time evolution of order parameters and entanglement asymmetries in the ferromagnetic phase of the transverse-field Ising chain. One side of the system is prepared in a ferromagnetic ground state and the other side either in equilibrium at higher temperature or out of equilibrium. We focus on the disorder-order interface in which the order parameter attains a nonzero value, different from the ground state one. In that region, correlations follow a universal behaviour. We analytically compute the asymptotic scaling functions of the one- and two-point equal time correlations of the order parameter and provide numerical evidence that also the non-equal time correlations are universal. We analyze the R\\'enyi entanglement asymmetries of subsystems and obtain a prediction that is expected to hold also in the von Neumann limit. Finally, we show that the Wigner-Yanase skew information of the order paramerter in subsystems within the interfacial region scales as their length squared. We propose a semiclassical approximation that is particularly effective close to the edge of the lightcone.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-06T18:08:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ferromagnetic ground state",
      "transverse field ising chain",
      "disorder-order interface propagating",
      "order parameter",
      "two-point equal time correlations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}