Coherent Excitation of a Two-Level Atom driven by a far off-resonant Classical Field: Analytical Solutions

Details Coherent Excitation of a Two-Level Atom driven by a far off-resonant Classical Field: Analytical Solutions Coherent Excitation of a Two-Level Atom driven by a far off-resonant Classical Field: Analytical Solutions

2010-02-12

arxiv.org/abs/1002.2483v1

Phys. Rev. A 81, 033827 (2010)

Physics

Quantum Physics

9 Pages, 8 Figures. Accepted for Physical Review A as a regular article

Scientific paper

10.1103/PhysRevA.81.033827

We present an analytical treatment of coherent excitation of a Two-Level Atom driven by a far-off resonant classical field. A class of pulse envelope is obtained for which this problem is exactly solvable. The solutions are given in terms of Heun function which is a generalization of the Hypergeometric function. The degeneracy of Heun to Hypergeometric equation can give all the exactly solvable pulse shapes of Gauss Hypergeometric form, from the generalized pulse shape obtained here. We discuss the application of the results obtained to the generation of XUV.

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