{
  "id": "2408.14428",
  "version": "v1",
  "published": "2024-08-26T17:16:20.000Z",
  "updated": "2024-08-26T17:16:20.000Z",
  "title": "Relaxation dynamics in the (double) sine-Gordon model -- an open-system viewpoint",
  "authors": [
    "D. Szász-Schagrin",
    "D. X. Horváth",
    "G. Takács"
  ],
  "comment": "9 pages, 28 figures",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th",
    "quant-ph"
  ],
  "abstract": "We study the effects of integrability breaking on the relaxation dynamics of the (double) sine-Gordon model. Compared to previous studies, we apply an alternative viewpoint motivated by open-system physics by separating the phase field into homogeneous and inhomogeneous parts, describing a quantum pendulum (subsystem) and an interacting phononic bath (environment). To study the relaxation dynamics in the model, we perform quantum quenches using the mini-superspace-based truncated Hamiltonian approach developed recently and simulate the real-time evolution of various entanglement measures and the energy transfer between the subsystem and its environment. Our findings demonstrate that in the presence of integrability-breaking perturbations, the relaxation dynamics is substantially faster, signalled by the increase of entanglement and energy transfer between the quantum pendulum and the phonon bath.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-26T17:16:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "relaxation dynamics",
      "sine-gordon model",
      "open-system viewpoint",
      "truncated hamiltonian approach",
      "energy transfer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}