{
  "id": "2303.17492",
  "version": "v1",
  "published": "2023-03-30T16:03:04.000Z",
  "updated": "2023-03-30T16:03:04.000Z",
  "title": "Semiclassical dynamics of a superconducting circuit: chaotic dynamics and fractal attractors",
  "authors": [
    "Davide Stirpe",
    "Juuso Manninen",
    "Francesco Massel"
  ],
  "comment": "11 pages, 9 figures and 1 table",
  "categories": [
    "quant-ph",
    "cond-mat.supr-con"
  ],
  "abstract": "In this article, we study the semiclassical dynamics of a superconducting circuit constituted by two Josephson junctions in series, in the presence of a voltage bias. We show that the equations of motion describing the superconducting phase correspond to those controlling the dynamics of a planar rotor with an oscillating pivot and, consequently, to those of a Kapitza pendulum in the absence of gravity. In addition, we show that the system exhibits a rich dynamical behavior with chaotic properties and provide insight into its attractor's fractal nature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-30T16:03:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "superconducting circuit",
      "semiclassical dynamics",
      "chaotic dynamics",
      "fractal attractors",
      "attractors fractal nature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}