{
  "id": "1905.03206",
  "version": "v1",
  "published": "2019-05-08T16:48:17.000Z",
  "updated": "2019-05-08T16:48:17.000Z",
  "title": "Molecular dynamics simulation of entanglement spreading in generalized hydrodynamics",
  "authors": [
    "Márton Mestyán",
    "Vincenzo Alba"
  ],
  "comment": "25 pages, 8 figures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.str-el",
    "hep-th"
  ],
  "abstract": "The so-called flea gas is an elementary yet very powerful method that allows the simulation of the out-of-equilibrium dynamics after quantum quenches in integrable systems. Here we show that, after supplementing it with minimal information about the initial state correlations, the flea gas provides a versatile tool to simulate the dynamics of entanglement-related quantities. The method can be applied to any quantum integrable system and to a large class of initial states. Moreover, the efficiency of the method does not depend on the choice of the subsystem configuration. Here we implement the flea gas dynamics for the gapped anisotropic Heisenberg XXZ chain, considering quenches from globally homogeneous and piecewise homogeneous initial states. We compute the time evolution of the entanglement entropy and the mutual information in these quenches, providing strong confirmation of recent analytical results obtained using the Generalized Hydrodynamics approach. The method also allows us to obtain the full-time dynamics of the mutual information after quenches from inhomogeneous settings, for which no analytical results are available.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-08T16:48:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "molecular dynamics simulation",
      "generalized hydrodynamics",
      "entanglement spreading",
      "flea gas",
      "gapped anisotropic heisenberg xxz chain"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}