Journal
JOURNAL OF MODERN OPTICS
Volume 60, Issue 4, Pages 255-265Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/09500340.2013.770573
Keywords
Raman transition; adiabatic elimination; Rydberg excitation
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Funding
- National Research Foundation
- Ministry of Education, Singapore
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Driven Raman processes nearly resonant two-photon transitions through an intermediate state that is non-resonantly coupled and does not acquire a sizeable population are commonly treated with a simplified description in which the intermediate state is removed by adiabatic elimination. While the adiabatic-elimination approximation is reliable when the detuning of the intermediate state is quite large, it cannot be trusted in other situations, and it does not allow one to estimate the population in the eliminated state. We introduce an alternative method that keeps all states in the description, without increasing the complexity by much. An integro-differential equation of LippmannSchwinger type generates a hierarchy of approximations, but very accurate results are already obtained in the lowest order.
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