Rydberg Atoms and Autocorrelation Function
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Study of atomic Rydberg states and their interactions with electromagnetic eld is of current interest. Determination of their internal parameters such as oscillator strength and lifetimes are pertinent to diverse elds of applied and fundamental Science. These parameters may be determined from the knowledge of transition atomic probabilities and require accurate electronic wave functions. From another side, measurements su⁄er from inherent di¢ culties and are generally obtained with a limited accuracy. In this chapter, we set up an approach based on the autocorrelation function of the excited atom placed inside a cavity with high quality factor. We envision two excitation regimes namely the strong and the weak pumping laser. Due to their simplicity, Rydberg states are successfully described within the two-level atom model. Making use of appropriate approximations we derive simple and practical expressions of the autocorrelation function of the emitted eld. Then, we show that Rydberg atomic lifetimes are deduced from theses simplied autocorrelation expressions at selected time values. This approach is related to interferometric measurements known to be accurate as compared to traditional methods.