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

Journal Article · Thu May 01 04:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.67.052505· OSTI ID:20636372

Daems, D; Keller, A; Guerin, S; Jauslin, H R; Atabek, O ^[1]

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1. Center for Nonlinear Phenomena and Complex Systems, Universite Libre de Bruxelles, Code Postal 231, 1050 Brussels (Belgium)

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.

• OSTI ID: 20636372
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 67; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CONVERGENCE
ENERGY LEVELS
HAMILTONIANS
ITERATIVE METHODS
LASER RADIATION
PERIODICITY
PERTURBATION THEORY
PULSES
RADIATION PRESSURE
TIME DEPENDENCE
TRANSFORMATIONS