Coherent excitation of two-state system by a Lorentzian filed
Quantum Physics
2014-02-21 v1
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.
Keywords
Cite
@article{arxiv.1402.5119,
title = {Coherent excitation of two-state system by a Lorentzian filed},
author = {G. S. Vasilev and N. V. Vitanov},
journal= {arXiv preprint arXiv:1402.5119},
year = {2014}
}