2003/01/17 by D. Daems, A. Keller, S. Guérin +3 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #Spectroscopy and Quantum Chemical Studies #quant-ph
paper · pdf · doi:10.1103/physreva.67.052505
published as Phys. Rev. A 67, 052505 (2003) · 10 pages, 3 figures
arxiv created 2003/01/17 · openalex publication_date 2003/05/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a superconvergent Kolmogorov-Arnold-Moser type of perturbation theory for time-dependent Hamiltonians. It is strictly unitary upon truncation at an arbitrary order and not restricted to periodic or quasiperiodic Hamiltonians. Moreover, for pulse-driven systems we construct explicitly the Kolmogorov-Arnold-Moser transformations involved in the iterative procedure. The technique is illustrated on a two-level model perturbed by a pulsed interaction for which we obtain convergence all the way from the sudden regime to the opposite adiabatic regime.