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

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

2003-01-17

arxiv.org/abs/quant-ph/0301092v1

Phys. Rev. A 67, 052505 (2003)

Physics

Quantum Physics

10 pages, 3 figures

Scientific paper

10.1103/PhysRevA.67.052505

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 KAM 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.

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