2能级模型处理长脉冲圆偏振光与钠原子相互作用的合理性
Rationality in adopting 2-level model to deal with interaction between long-pulse circularly-polarized laser and sodium atoms
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摘要: 采用密度矩阵方法来处理长脉冲光与钠原子的相互作用，求解24能级钠精细结构的布洛赫方程,给出参与跃迁的每个态密度随时间的演化曲线。对于圆偏振情形，发现在长脉冲(大于100 ns)的持续时间内，最终的原子通过转移只在3S1/2(2,2)到3P/3/2(3,3)之间进行泵浦并且激发态达到稳态。进一步的2能级模型计算与24能级计算结果的对比表明：用2能级近似的速率方程方法取代24能级密度矩阵方法具有合理性，由此简化了模型，节约了后续研究的计算量。Abstract: In this paper a full density matrix treatment is adopted to deal with the interaction between long-pulse, circularly-polarized light and the sodium atoms. The time evolution curve of each of the 24 sub-state’s population probability can be obtained by solving the Bloch equation of twenty-four hyperfine levels. It is found that during the long pulse time(more than 100 ns), the final transition is only between the sub-level 3S1/2(2,2) and 3P/3/2 and the probability of the excited sub-state has become steady. Comparison between the 2-level model and the full density matrix method proves the rationality of rate equation and the simplicity of 2-level model for the long pulse, circularly-polarized light.
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Key words:
- sodium beacon /
- long pulse /
- circularly polarized light /
- 2-level atoms /
- adaptive optics
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