A master equation for a two-sided optical cavity
arXiv:1307.3545 · doi:10.1080/09500340.2014.992992
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)].
11 pages, 2 figures, simplified version
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- Quantising the electromagnetic field near two-sided semi-transparent mirrors
- A physically-motivated quantisation of the electromagnetic field on curved spacetimes
- Evolution of Gaussian mixed states under the Markovian master equation for a driven quantum oscillator