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arXiv quant-ph/0403202quant-ph
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Mollow谱的相对论和辐射修正

Relativistic and Radiative Corrections to the Mollow Spectrum

Joerg Evers, Ulrich D. Jentschura, Christoph H. Keitel

摘要:

激光驱动原子的共振荧光光谱的非相干、非弹性部分被称为莫洛光谱[B. R. Mollow,Phys.Rev.188,1969(1969)]。从这个层次的描述开始,我们讨论了高精度光谱学的理论基础,使用强激光驱动原子的共振荧光。具体来说,我们评估了对莫洛光谱的主要相对论和辐射修正,分别达到相对阶数(Z α)^2和α(Z α)^2,以及布洛赫-西格特位移和涉及非共振虚态的受激辐射修正。完整的结果提供氢1 S-2 P_{1/2}和1 S-2 P_{3/2}过渡;这些包括所有相关的校正项,以指定的近似顺序,并可以直接与实验数据进行比较。作为一个应用,这样的实验结果将允许一个敏感的测试的有效性的修饰态基础的自然描述的组合原子激光系统。

英文摘要:

The incoherent, inelastic part of the resonance fluorescence spectrum of a laser-driven atom is known as the Mollow spectrum [B. R. Mollow, Phys. Rev. 188, 1969 (1969)]. Starting from this level of description, we discuss theoretical foundations of high-precision spectroscopy using the resonance fluorescence light of strongly laser-driven atoms. Specifically, we evaluate the leading relativistic and radiative corrections to the Mollow spectrum, up to the relative orders of (Z alpha)^2 and alpha(Z alpha)^2, respectively, and Bloch-Siegert shifts as well as stimulated radiative corrections involving off-resonant virtual states. Complete results are provided for the hydrogen 1S-2P_{1/2} and 1S-2P_{3/2} transitions; these include all relevant correction terms up to the specified order of approximation and could directly be compared to experimental data. As an application, the outcome of such experiments would allow for a sensitive test of the validity of the dressed-state basis as the natural description of the combined atom-laser system.

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