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Phys. Rev. A 69, 033411 (2004) [15 pages]

Pulse-driven quantum dynamics beyond the impulsive regime

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D. Daems*
Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Campus Plaine, 1050 Brussels, Belgium

S. Guérin and H. R. Jauslin
Laboratoire de Physique de l’Université de Bourgogne, UMR CNRS 5027, Boîte Postale 47870, 21078 Dijon, France

A. Keller and O. Atabek
Laboratoire de Photophysique Moléculaire du CNRS, Université Paris-Sud, Bâtiment 210—Campus d’Orsay, 91405 Orsay Cedex, France

Received 6 November 2003; published 24 March 2004

We review various unitary time-dependent perturbation theories and compare them formally and numerically. We show that the Kolmogorov-Arnold-Moser technique performs better owing to both the superexponential character of correction terms and the possibility to optimize the accuracy of a given level of approximation which is explored in detail here. As an illustration, we consider a two-level system driven by short pulses beyond the sudden limit.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.69.033411
DOI:
10.1103/PhysRevA.69.033411
PACS:
42.50.Hz, 02.30.Mv, 03.65.−w

*Electronic address: ddaems@ulb.ac.be

Electronic address: sguerin@u-bourgogne.fr

Electronic address: arne.keller@ppm.u-psud.fr