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Unitary time-dependent superconvergent technique for pulse-driven quantum dynamics

par Daems, David ;Keller, Arne;Guérin, Stéphane;Jauslin, Hans Rudolf;Atabek, Osman
Référence Physical review. A, Atomic, Molecular, and Optical Physics, 67, 5, page (525051-525059)
Publication Publié, 2003-05

Article révisé par les pairs

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Résumé :

A Kolmogorov-Arnold-Moser (KAM) algorithm for nonautonomous Hamiltonians, strictly unitary upon truncation at an arbitrary order, was presented. The algorithm was not restricted to periodic or quasiperiodic Hamiltonians. KAM transformations were constructed for pulse-driven systems and the convergence of the algorithm was studied. The convergence was obtained from the sudden regime to the opposite adiabatic regime.