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

Dong-Sheng Guo·Yong-Shi Wu·Linn Van Woerkom
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Abstract

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, $\omega$. We also find that the wave functions, though finite when the original level spacing is an integral multiple of $\omega$, 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.

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Dong-Sheng Guo, Yong-Shi Wu, Linn Van Woerkom. 2005-09-20. Exact Solution for a Two-Level Atom in Radiation Fields and the Freeman Resonances. https://doi.org/10.1103/physreva.73.023419

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