%0 Journal Article
%T Exact Solution for a Two-Level Atom in Radiation Fields and the Freeman Resonances
%A Dong-Sheng Guo
%A Yong-Shi Wu
%A Linn Van Woerkom
%J Physics
%D 2005
%I arXiv
%R 10.1103/PhysRevA.73.023419
%X 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.
%U http://arxiv.org/abs/quant-ph/0509135v2