{
  "annotation_id": "30d1c4a0-d525-4545-bb12-9a0a0f34802c",
  "date_created": "2026-03-02T18:02:06.631000Z",
  "date_modified": "2026-03-02T18:02:06.631000Z",
  "file_hash": "610fa4ff6db86b476b311cb25254ca2bad2cc52b76cb3ee3c4b81651dfbe4994",
  "private": false,
  "record": {
    "abstract": "We consider a pair of identical two-level atoms interacting with a scalar\nfield in one dimension, separated by a distance $x_{21}$. We restrict our\nattention to states where one atom is excited and the other is in the ground\nstate, in symmetric or anti-symmetric combinations. We obtain exact collective\ndecaying states, belonging to a complex spectral representation of the\nHamiltonian. The imaginary parts of the eigenvalues give the decay rates, and\nthe real parts give the average energy of the collective states. In one\ndimension there is strong interference between the fields emitted by the atoms,\nleading to long-range cooperative effects. The decay rates and the energy\noscillate with the distance $x_{21}$. Depending on $x_{21}$, the decay rates\nwill either decrease, vanish or increase as compared with the one-atom decay\nrate. We have sub- and super-radiance at periodic intervals. Our model may be\nused to study two-cavity electron wave-guides. The vanishing of the collective\ndecay rates then suggests the possibility of obtaining stable configurations,\nwhere an electron is trapped inside the two cavities.",
    "arxiv_id": "quant-ph/0401097",
    "authors": [
      "Gonzalo Ordonez",
      "Sungyun Kim"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.70.032702",
    "title": "Complex collective states in a one-dimensional two-atom system",
    "url": "https://arxiv.org/abs/quant-ph/0401097"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cf056173-f64c-478e-a4bf-dcc0a4207855",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}