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arXiv quant-ph/0509135quant-phphysics.atom-phphysics.optics
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辐射场中二能级原子的精确解及Freeman共振

Exact Solution for a Two-Level Atom in Radiation Fields and the Freeman Resonances

Dong-Sheng Guo, Yong-Shi Wu, Linn Van Woerkom

摘要:

利用复分析的代数方法,精确求解了二能级原子与单色光场相互作用的波动方程。得到了准能量的封闭形式表达式,表明无论初始能级间距或位移能级间距是驱动频率$ω$的整数倍,Bloch-Siegert位移总是有限的.我们还发现,波函数,虽然有限的原始能级间距是一个整数倍的$ω$,成为发散时,强度相关的移动的能量间距是一个整数倍的光子能量。这一结果提供了,在文献中第一次,从头算理论解释的发生在阈值以上的电离实验中观察到的弗里曼共振。

英文摘要:

Using techniques of complex analysis in an algebraic approach, we solve the wave equation for a two-level atom interacting with a monochromatic light field exactly. A closed-form expression for the quasi-energies is obtained, which shows that the Bloch-Siegert shift is always finite, regardless of whether the original or the shifted level spacing is an integral multiple of the driving frequency, $ω$. We also find that the wave functions, though finite when the original level spacing is an integral multiple of $ω$, become divergent when the intensity-dependent shifted energy spacing is an integral multiple of the photon energy. This result provides, for the first time in the literature, an ab-initio theoretical explanation for the occurrence of the Freeman resonances observed in above-threshold ionization experiments.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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