Geodesic
Formation dynamics of the radial-angular structure of the Rydberg wave-packet in a resonant microwave field.
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 1, pp. 83-89 Cet article a éte moissonné depuis la source Math-Net.Ru

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We discuss a very interesting experiment by H. Maeda, T. F. Gallagher, PRL 92, 133004 (2004), in which Li Rydberg atoms were exposed to an action of a resonant microwave filed (switched-on at $t=0$). Then, in a varying time $t_0$, the atoms were ionized by a strong sub-picosecond Half-Cycle Pulse. The probability of ionization $w_i$ was measured in its dependence on $t_0$ and the function $w_i(t_0)$ was found to be oscillating with the classical Rydberg-atom Kepler period. The original author's explanation of this effect was based on the assumption that the resonant microwave field provided formation of a localized Rydberg wave packet moving along the classical Kepler trajectory and responsible for the observed periodical dependence of $w_i(t_0)$. We suggest here an alternative interpretation of this result. By solving exactly the initial-value problem for a Rydberg atom in a microwave field we find that such a field does not provide any radial localization of a wave packet. On the other hand, it provides a rather efficient repopulation of the resonant Rydberg levels with high values of the angular momentum quantum number $l$. Migration of population to high-$l$ states is shown to cause a modulation of both angular and radial motion of a Rydberg electron. Such a periodical modulation of the electron motion is believed to provide a proper explanation of the experimental results by Maeda and Gallagher. 
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     author = {P. A. Volkov and M. A. Efremov and M. V. Fedorov},
     title = {Formation dynamics of the radial-angular structure of the {Rydberg} wave-packet in a~resonant microwave field.},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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P. A. Volkov; M. A. Efremov; M. V. Fedorov. Formation dynamics of the radial-angular structure of the Rydberg wave-packet in a resonant microwave field.. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 1, pp. 83-89. http://geodesic.mathdoc.fr/item/UZKU_2006_148_1_a9/

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