{
  "id": "2310.01246",
  "version": "v1",
  "published": "2023-10-02T14:31:15.000Z",
  "updated": "2023-10-02T14:31:15.000Z",
  "title": "Heat bath in a quantum circuit",
  "authors": [
    "Jukka P. Pekola",
    "Bayan Karimi"
  ],
  "categories": [
    "quant-ph",
    "cond-mat.mes-hall"
  ],
  "abstract": "We discuss the concept and realization of a heat bath in solid state quantum systems. First we demonstrate that, unlike a true resistor, a finite one-dimensional Josephson junction array or analogously a transmission line with non-vanishing frequency spacing does not strictly qualify as a Caldeira-Leggett type dissipative environment. We then consider a set of quantum two-level systems as a bath, which can be realized as a collection of qubits. We demonstrate that only a dense and wide distribution of energies of the two-level systems can secure long Poincare recurrence times characteristic of a proper heat bath. An alternative for this bath is a collection of harmonic oscillators, for instance in form of superconducting resonators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-02T14:31:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heat bath",
      "quantum circuit",
      "finite one-dimensional josephson junction array",
      "long poincare recurrence times characteristic",
      "secure long poincare recurrence times"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}