{
  "id": "2205.01208",
  "version": "v1",
  "published": "2022-05-02T20:55:55.000Z",
  "updated": "2022-05-02T20:55:55.000Z",
  "title": "Decoherence and energy flow in the sunburst quantum Ising model",
  "authors": [
    "Alessio Franchi",
    "Davide Rossini",
    "Ettore Vicari"
  ],
  "comment": "24 pages, 11 figures",
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "We study the post-quench unitary dynamics of a quantum sunburst spin model, composed of a transverse-field quantum Ising ring which is suddenly coupled to a set of independent external qubits along the longitudinal direction, in a way to respect a residual translation invariance and the Ising $\\mathbb{Z}_2$ symmetry. Starting from the different equilibrium quantum phases of the system, we characterize the decoherence and the energy storage in the external qubits, which may be interpreted as a probing apparatus for the inner Ising ring. Our results show that, in proximity of the quantum transitions of the Ising ring, either first-order or continuous, it is possible to put forward dynamic FSS frameworks which unveil peculiar scaling regimes, depending on the way in which the large-size limit is taken: either by fixing the number $n$ of probing qubits, or their interspace distance $b$. In any case, the dependence of the various observables on $n$ can be reabsorbed into a redefinition of the quench parameter by a $\\sqrt{n}$ prefactor. We also address the role of a nearest-neighbor coupling between the external qubits.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-02T20:55:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "sunburst quantum ising model",
      "energy flow",
      "decoherence",
      "quantum sunburst spin model",
      "independent external qubits"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}