2010/02/12 by Pankaj K. Jha, Yuri V. Rostovtsev · 30 citations
Computer Science · Mathematics · Physics and Astronomy · #Atom (system on chip) #Atomic physics #Cold Atom Physics and Bose-Einstein Condensates #Computational physics #Computer science #Excitation #Field (mathematics) #Mathematics #Near and far field #Physics #Pure mathematics #Quantum Information and Cryptography #Quantum electrodynamics #Quantum mechanics #Quantum optics and atomic interactions #quant-ph
paper · pdf · doi:10.1103/physreva.81.033827
published in Physical Review A 81(3) (American Physical Society) · 9 Pages, 8 Figures. Accepted for Physical Review A as a regular article
arxiv created 2010/02/12 · openalex publication_date 2010/03/15 · arxiv updated 2010/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 the Heun function, which is a generalization of the hypergeometric function. Degeneracy of the Heun to a 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 soft x-ray and ultraviolet radiations.