{
  "annotation_id": "d107110d-0013-4470-aedb-edf2059c5015",
  "date_created": "2026-03-02T18:02:02.261000Z",
  "date_modified": "2026-03-02T18:02:02.261000Z",
  "file_hash": "12c38e37012583d514c2ef798f629977cfccf92f16f1cf741b6060b88cbbb427",
  "private": false,
  "record": {
    "abstract": "There is a renewed interest in the uncertainty principle, reformulated from\nthe information theoretic point of view, called the entropic uncertainty\nrelations. They have been studied for various integrable systems as a function\nof their quantum numbers. In this work, focussing on the ground state of a\nnonlinear, coupled Hamiltonian system, we show that approximate eigenstates can\nbe can be constructed within the framework of adiabatic theory. Using the\nadiabatic eigenstates, we estimate the information entropies and their sum as a\nfunction of the the nonlinearity parameter. We also briefly look at the\ninformation entropies for the highly excited states in the system.",
    "arxiv_id": "quant-ph/0308147",
    "authors": [
      "M. S. Santhanam"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.69.042301",
    "journal_ref": "Phys. Rev. A 69, 042301 (2004).",
    "title": "Entropic uncertainty relations for the ground state of a coupled system",
    "url": "https://arxiv.org/abs/quant-ph/0308147"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "83eecaad-875f-4b58-afe6-6498ae4dad3e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}