Phys. Rev. A 67, 052505 (2003) [9 pages]Unitary time-dependent superconvergent technique for pulse-driven quantum dynamicsReceived 23 October 2002; published 27 May 2003 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. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.67.052505
DOI:
10.1103/PhysRevA.67.052505
PACS:
31.15.Md, 03.65.-w, 02.30.Mv
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