Abstract
The autocorrelation function is an important quantity that can reflectthe dynamical properties of the Rydberg wave packet and can be measured inexperiments. Applying time-dependent perturbation theory and rotatingwave approximation, we derive the autocorrelation function of thedouble-pulse laser describing the evolution of a Rydberg wave packet ofhydrogen atoms in magnetic fields. The resulting expression is writtenas a sum of the modified Gaussian terms. Each Gaussian term comes froma parent semiclassical closed orbit. It provides a direct explanationand experimentally controllable measurement scheme, which allows ustherefore to recognize the closed orbit and to determine its returningtime in high precision.
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