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Bulgarian Journal of Physics
Print: 1310-0157 Online: 1314-2666
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RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY 
Bulg. J. Phys. vol.33 no.s3 (2006), pp. 172-185
Coherent Excitation of a Two-State System by a Gaussian Field
G.S. Vasilev1, N.V. Vitanov1,2
1Department of Physics, University of Sofia, 5 James Bourchier Blvd., BG-1164 Sofia, Bulgaria
2Institute of Solid State Physics, Bulgarian Academy of Sciences, 72 Tsarigradsko Chaussee Blvd., BG-1784 Sofia, Bulgaria
go back1Department of Physics, University of Sofia, 5 James Bourchier Blvd., BG-1164 Sofia, Bulgaria
2Institute of Solid State Physics, Bulgarian Academy of Sciences, 72 Tsarigradsko Chaussee Blvd., BG-1784 Sofia, Bulgaria
Abstract. This work presents an analytic description of coherent excitation of a two-state quantum system by an external field with a Gaussian temporal shape for both cases of constant frequency and a linear frequency sweep. Very accurate analytic approximations to the transition probability are derived by using the Dykhne-Davis-Pechukas approach. These approximations provides analytic expressions for the frequency and the amplitude of the probability oscillations.