• Corpus ID: 118680186

Coherent excitation of two-state system by a Lorentzian filed

  title={Coherent excitation of two-state system by a Lorentzian filed},
  author={G. S. Vasilev and Nikolay V. Vitanov},
  journal={arXiv: Quantum Physics},
This work presents an analytic description of the coherent excitation of a two-state quantum system by an external field with a Lorentzian temporal shape and a constant frequency. An exact analytical solution for the differential equation of the model is derived in terms of Confluent Heun functions. Also a very accurate analytic approximation to the transition probability is derived by using the Dykhne-Davis-Pechukas approach. This approximation provides analytic expressions for the frequency… 

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  • Rev. 51, 652
  • 1937
  • Rev. A 44, 4280
  • 1991
The Theory of Coherent Atomic Excitation
  • Rev. A 53, 2501
  • 1996
  • 64, 3129
  • 1976
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  • 1932