Quantum theory of spontaneous emission in one-dimensional optical cavities with output coupling

E. L. Graca, B. Baseia

Vladislav Cheltsov

Xiao-Ping Feng, Kikuo Ujihara

A quantum theory of spontaneous emission from an initially excited two-level atom in a one-dimensional optical cavity with output coupling from both sides is developed. Orthonormal mode functions with a continuous spectrum are employed, which are derived by imposing a periodic boundary condition on the whole space with a period much larger than the cavity length. The delay differential equation of the atomic state of Cook and Milonni [Phys. Rev. A 35, 5081 (1987)] is re-derived in a strict manner, where the reflectivity of the cavity mirrors is included naturally in the mode functions. An approximate solution at a single-resonant-mode limit shows the results of ``vacuum'' Rabi oscillation in an underdamped cavity and enhanced spontaneous emission rate in an overdamped cavity. For the latter case, it is found that in the optical range the spontaneous emission rate is enhanced by a factor F (finesse of the cavity).

Kikuo Ujihara

For pt.IV see J. Phys. Soc. Japan, vol.47, p.217-224 (1982). Spontaneous emission in a lossy one-dimensional cavity is analyzed under the perturbation approximation and the Wigner-Weisskopf approximation. The cavity loss due to output coupling is treated quantum mechanically by the use of a set of continuously distributed radiation modes. The enhancement and reduction factors in the spontaneous emission probability due to the presence of the cavity structure are derived. Interesting transients in spontaneous emission during a time of the order of the cavity decay time are predicted, which leads to an interpretation of the enhancement or the reduction in spontaneous emission in terms of feedback and self-interference effects. The detection of the emitted photon by a detector atom outside the cavity is also discussed.>

Violetta Sharoglazova, Marius Puplauskis, Carl Ulrich Mattschas +3 more

紀公雄 氏原

1 A one-dimensional optical cavity with output coupling-classical analysis- 2 A one-dimensional optical cavity with output coupling-quantum analysis- 3 A one-dimensional quasimode laser: General formulation 4 A one-dimensional quasimode laser-Semiclassical and quantum analysis- 5 A one-dimensional laser with output coupling -Derivation of the laser equation of motion- 6 A one-dimensional laser with output coupling-Contour integral method- 7 A one-dimensional laser with output coupling-Semiclassical linear gain analysis 8 A one-dimensional laser with output coupling-Semiclassical nonlinear gain analysis 9 A one-dimensional laser with output coupling-Quantum linear gain analysis- 10 A one-dimensional laser with output coupling -Quantum nonlinear gain analysis- 11 Analysis of a one-dimensional laser with two-side output coupling -The propagation method- 12 A one-dimensional laser with output coupling -Summary and interpretation of the results- 13 Spontaneous emission in a one-dimensional optical cavity with output coupling 14 Theory of excess noise 15 Quantum theory of the output coupling of an optical cavity Appendices