{
  "id": "1307.3545",
  "version": "v6",
  "published": "2013-07-12T19:28:47.000Z",
  "updated": "2014-10-19T23:24:08.000Z",
  "title": "A master equation for a two-sided optical cavity",
  "authors": [
    "Thomas M. Barlow",
    "Robert Bennett",
    "Almut Beige"
  ],
  "comment": "11 pages, 2 figures, simplified version",
  "categories": [
    "quant-ph"
  ],
  "abstract": "Quantum optical systems, like trapped ions, are routinely described by master equations. The purpose of this paper is to introduce a master equation for two-sided optical cavities with spontaneous photon emission. To do so, we use the same notion of photons as in linear optics scattering theory and consider a continuum of traveling-wave cavity photon modes. Our model predicts the same stationary state photon emission rates for the different sides of a laser-driven optical cavity as classical theories. Moreover, it predicts the same time evolution of the total cavity photon number as the standard standing-wave description in experiments with resonant and near-resonant laser driving. The proposed resonator Hamiltonian can be used, for example, to analyse coherent cavity-fiber networks [Kyoseva et al., New J. Phys. 14, 023023 (2012)].",
  "revisions": [
    {
      "version": "v5",
      "updated": "2014-07-10T13:14:20.000Z",
      "abstract": "Quantum optical systems with spontaneous photon emission, like trapped ions, are routinely described by master equations. The purpose of this paper is to introduce such a master equation for two-sided optical cavities and to propose a resonator Hamiltonian which can be used to easily analyse coherent cavity-fiber networks [Kyoseva {\\em et al.}, New J. Phys. {\\bf 14}, 023023 (2012)]. To do so, we use the same notion of photons as in linear optics scattering theory and consider a continuum of traveling-wave cavity photon modes. Our model predicts the same stationary state photon emission rates for the different sides of a laser-driven optical cavity as classical theories. Moreover, it predicts the same time evolution of the total cavity photon number as the standard standing-wave description in experiments with resonant and near-resonant laser driving. More detailed experiments are needed to decide which theory --- the input output formalism, universe mode models, or master equations --- describe optical cavities most accurately.",
      "comment": "13 pages, 2 figures, further small corrections",
      "journal": null,
      "doi": null
    },
    {
      "version": "v6",
      "updated": "2014-10-19T23:24:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "master equation",
      "two-sided optical cavity",
      "stationary state photon emission rates",
      "total cavity photon number",
      "analyse coherent cavity-fiber networks"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.3545B"
    }
  }
}