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arXiv 0906.3584quant-ph
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简并二能级原子与任意极化腔场耦合的弱驱动开放Jaynes-Cummings系统的定态解

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

Sungsam Kang, Youngwoon Choi, Sooin Lim, Wookrae Kim, Jai-Hyung Lee, Kyungwon An

摘要:

利用Morris-Shore变换,导出了具有塞曼次能级简并的二能级原子与任意极化腔模耦合的开放Jaynes-Cummings系统的稳态密度矩阵的解析解.在系统量子数不超过1的弱激发极限下,我们得到了主方程在驱动场强一阶以下的定态解。我们还导出了原子自发发射和腔透射的激发谱的解析表达式。结果表明,只要原子-腔耦合不太强,系统可以看作是一个非简并的二能级系统,只有一个有效的耦合常数,它只取决于驱动场的椭圆角。这种近似的一个精确的条件推导。这一工作为在实验上实现耦合常数连续变化的Jaynes-Cummings系统提供了理论基础,可用于各种腔量子电动力学的研究。

英文摘要:

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

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