{
  "id": "2212.13348",
  "version": "v1",
  "published": "2022-12-27T03:09:58.000Z",
  "updated": "2022-12-27T03:09:58.000Z",
  "title": "Time-System Entanglement and Special Relativity",
  "authors": [
    "Ngo Phuc Duc Loc"
  ],
  "comment": "5 pages, 3 figures",
  "categories": [
    "quant-ph",
    "gr-qc",
    "hep-th"
  ],
  "abstract": "We know that space and time are treated almost equally in classical physics, but we also know that this is not the case for quantum mechanics. A quantum description of both space and time is important to really understand the quantum nature of reality. The Page-Wootters mechanism of quantum time is a promising starting point, according to which the evolution of the quantum system is described by the entanglement between it and quantum temporal degrees of freedom. In this paper, we use a qubit clock model to study how the time-system entanglement measures depend on the rapidity when the quantum system is Lorentz boosted. We consider the case of a spin-1/2 particle with Gaussian momentum distribution as a concrete example.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-27T03:09:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "special relativity",
      "quantum system",
      "quantum temporal degrees",
      "qubit clock model",
      "time-system entanglement measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}