Atomic Supersymmetry, Rydberg Wave Packets, and Radial Squeezed States

We study radial wave packets produced by short-pulsed laser fields acting on Rydberg atoms, using analytical tools from supersymmetry-based quantum-defect theory. We begin with a time-dependent perturbative calculation for alkali-metal atoms, incorporating the atomic-excitation process. This provides insight into the general wave packet behavior and demonstrates agreement with conventional theory. We then obtain an alternative analytical description of a radial wave packet as a member of a particular family of squeezed states, which we call radial squeezed states. By construction, these have close to minimum uncertainty in the radial coordinates during the first pass through the outer apsidal point. The properties of radial squeezed states are investigated, and they are shown to provide a description of certain aspects of Rydberg atoms excited by short-pulsed laser fields. We derive expressions for the time evolution and the autocorrelation of the radial squeezed states, and we study numerically and analytically their behavior in several alkali-metal atoms. Full and fractional revivals are observed. Comparisons show agreement with other theoretical results and with experiment.Comment: published in Physical Review

Numérique : impact sur le cycle de vie du document (Le)

Actes du colloque "Le numérique : impact sur le cycle de vie du document" organisé à l\u27université de Montréal par l\u27EBSI et l\u27ENSSIB du 13 au 15 octobre 2004. Son objectif était de traiter de façon interdisciplinaire la problématique suivante : « La numérisation, la diffusion des formats numériques originaux, les nouvelles méthodes d\u27indexation et d\u27analyse du document ainsi que le fonctionnement en réseau changent les données de base de la vie du document qui devient une sorte de phénix incessamment renaissant » (programme du colloque)