{
  "annotation_id": "0f84a2f2-c2d5-40a3-970f-93e0dd839497",
  "date_created": "2026-03-02T18:01:56.250000Z",
  "date_modified": "2026-03-02T18:01:56.250000Z",
  "file_hash": "7143e7fc76862fe4f8c1ba154a9786080f4b0c8aad5c3a6062ade8c2074e9c39",
  "private": false,
  "record": {
    "abstract": "The quantitative description of the quantum entanglement between a qubit and\nits environment is considered. Specifically, for the ground state of the\nspin-boson model, the entropy of entanglement of the spin is calculated as a\nfunction of $\\alpha$, the strength of the ohmic coupling to the environment,\nand $\\epsilon$, the level asymmetry. This is done by a numerical\nrenormalization group treatment of the related anisotropic Kondo model. For\n$\\epsilon=0$, the entanglement increases monotonically with $\\alpha$, until it\nbecomes maximal for $\\alpha \\lim 1^-$. For fixed $\\epsilon\u003e0$, the entanglement\nis a maximum as a function of $\\alpha$ for a value, $\\alpha = \\alpha_M \u003c 1$.",
    "arxiv_id": "quant-ph/0302055",
    "authors": [
      "T. A. Costi",
      "Ross H. McKenzie"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.str-el"
    ],
    "doi": "10.1103/PhysRevA.68.034301",
    "journal_ref": "Phys. Rev. A 68, 034301 (2003)",
    "title": "Entanglement between a qubit and the environment in the spin-boson model",
    "url": "https://arxiv.org/abs/quant-ph/0302055"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "097d03fa-1e9e-4b1d-9088-7765490e00c7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}