{
  "id": "2101.11553",
  "version": "v1",
  "published": "2021-01-27T17:19:35.000Z",
  "updated": "2021-01-27T17:19:35.000Z",
  "title": "Signatures of exceptional points in a quantum thermal machine",
  "authors": [
    "Shishir Khandelwal",
    "Nicolas Brunner",
    "Géraldine Haack"
  ],
  "comment": "5 pages, comments welcome",
  "categories": [
    "quant-ph",
    "cond-mat.mes-hall",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The concepts and tools from the theory of non-Hermitian quantum systems are used to investigate the dynamics of a quantum thermal machine. This approach allows us to characterize in full generality the analytical time-dependent dynamics of an autonomous quantum thermal machine, by solving a non-Hermitian Liouvillian for an arbitrary initial state. We show that the thermal machine features a number of exceptional points for experimentally realistic parameters. The signatures of a third-order exceptional point, both in the short and long-time regimes are demonstrated. As these points correspond to regimes of critical decay towards the steady state, in analogy with a critically damped oscillator, our work opens interesting possibilities for the precise control of the dynamics of quantum thermal machines.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-27T17:19:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "signatures",
      "work opens interesting possibilities",
      "autonomous quantum thermal machine",
      "third-order exceptional point",
      "arbitrary initial state"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}