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Analytical solution for the stationary density matrix is derived, by usingthe Morris-Shore transformation, for an open Jaynes-Cummings system of atwo-level atom with Zeeman sublevel degeneracy coupled to anarbitrary-polarized cavity mode. In the limit of weak excitation with thenumber of quantum in the system not exceeding one, we have obtained thestationary solution of the master equation up to the first order of the drivingfield intensity. We have also derived the analytic expressions for theexcitation spectra of atomic spontaneous emission and cavity transmission. Ourresults show that the system can be regarded as a non-degenerate two-levelsystem with a single effective coupling constant which depends only on theelliptic angle of the driving field as long as the atom-cavity coupling is nottoo strong. A precise condition for this approximation is derived. This workprovides a theoretical ground for experimentally realizing a Jaynes-Cummingssystem with a coupling constant continuously varied for various cavity quantumelectrodynamics studies.

Stationary solution of a weak-driven open Jaynes-Cummings system of a degenerate two-level atom coupled to an arbitrary-polarized cavity field