{
  "id": "2010.09794",
  "version": "v1",
  "published": "2020-10-19T19:12:42.000Z",
  "updated": "2020-10-19T19:12:42.000Z",
  "title": "Quasiparticle dynamics of symmetry resolved entanglement after a quench: the examples of conformal field theories and free fermions",
  "authors": [
    "Gilles Parez",
    "Riccarda Bonsignori",
    "Pasquale Calabrese"
  ],
  "comment": "7 pages, 2 figures",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th",
    "quant-ph"
  ],
  "abstract": "The time evolution of the entanglement entropy is a key concept to understand the structure of a non-equilibrium quantum state. In a large class of models, such evolution can be understood in terms of a semiclassical picture of moving quasiparticles spreading the entanglement throughout the system. However, it is not yet known how the entanglement splits between the sectors of an internal local symmetry of a quantum many-body system. Here, guided by the examples of conformal field theories and free-fermion chains, we show that the quasiparticle picture can be adapted to this goal, leading to a general conjecture for the charged entropies whose Fourier transform gives the desired symmetry resolved entanglement $S_n(q)$. We point out two physically relevant effects that should be easily observed in atomic experiments: a delay time for the onset of $S_n(q)$ which grows linearly with $|\\Delta q|$ (the difference from the charge $q$ and its mean value), and an effective equipartition when $|\\Delta q|$ is much smaller than the subsystem size.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-19T19:12:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conformal field theories",
      "symmetry resolved entanglement",
      "free fermions",
      "quasiparticle dynamics",
      "non-equilibrium quantum state"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}