{
  "abstract": "In this paper, we illustrate how a Schrödinger cat state created via a matter-wave interferometer can be viewed as the simplest quantum-gravity setup where we can treat both matter and gravity on an equal footing at a perturbative level. Here we treat Einstein's theory of general relativity using an effective field theory approach, quantising the massless spin-2 graviton in the presence of a quantum spatial superposition of matter that creates a matter-wave interferometer in the non-relativistic limit. We show that, due to the matter-graviton coupling, the graviton vacuum is displaced analogous to the coherent state. We study the contrast/overlap between the coherent states of the left and right superpositions in the matter-wave interferometer. We also study the entanglement between matter and the graviton in this setup and relate it to a gravitational contrast, or the overlap of the quantum geometries led by the coherent states. In the appendix, we provide an example of a time-dependent harmonic oscillator and study the contrast/overlap of such coherent states of the graviton.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.05153",
  "author_total": 2,
  "authors": [
    {
      "name": "Anupam Mazumdar"
    },
    {
      "name": "Tian Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3pv2g352fyyqk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.05153",
  "fulltext_url": null,
  "id": "3pv2g352fyyqk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.05153",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2605.05153",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3pv2g352fyyqk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2605.05153",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.05153"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Quantum gravitational contrast in creating Schrödinger cat state",
  "title_text": "Quantum gravitational contrast in creating Schrödinger cat state",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/3pv2g352fyyqk",
  "venue": "arXiv",
  "versions": []
}