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

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

2005-09-20

arxiv.org/abs/quant-ph/0509135v2

Physics

Quantum Physics

24 pages, no figure; v2 typos corrected

Scientific paper

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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