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arXiv · 1402.5119

Coherent excitation of two-state system by a Lorentzian filed

G. S. Vasilev·N. V. Vitanov
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Abstract

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 and amplitude of the probability oscillations.

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G. S. Vasilev, N. V. Vitanov. 2014-02-20. Coherent excitation of two-state system by a Lorentzian filed. https://arxiv.org/abs/1402.5119

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