{
  "annotation_id": "2c669d74-3664-4f89-a781-5cef3e5e0c43",
  "date_created": "2026-03-02T18:01:18.024000Z",
  "date_modified": "2026-03-02T18:01:18.024000Z",
  "file_hash": "1231053cad7e995d3febfdacd962fd5add58db0411866a22d0d5724e96688acd",
  "private": false,
  "record": {
    "abstract": "We show that QED nonlinear effects imply a phase correction to the linear\nevolution of electromagnetic waves in vacuum. We provide explicit solutions of\nthe modified Maxwell\u0027s equations for the propagation of a superposition of two\nplane waves, and calculate analytically and numerically the corresponding phase\nshift. This provides a new framework for the search of all-optical signatures\nof photon-photon scattering in vacuum. In particular, we propose an experiment\nfor measuring the phase shift in projected high-power laser facilities.",
    "arxiv_id": "physics/0703215",
    "authors": [
      "Albert Ferrando",
      "Humberto Michinel",
      "Marcos Seco",
      "Daniele Tommasini"
    ],
    "categories": [
      "physics.optics"
    ],
    "doi": "10.1103/PhysRevLett.99.150404",
    "journal_ref": "Phys. Rev. Lett. 99 (2007) 150404",
    "title": "Nonlinear phase shift from photon-photon scattering in vacuum",
    "url": "https://arxiv.org/abs/physics/0703215"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "36d3d349-5203-46d2-8d2e-b2e8f2ecd0ff",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}