6533b7cffe1ef96bd1259b4d
RESEARCH PRODUCT
Unitary time-dependent superconvergent technique for pulse-driven quantum dynamics
Osman AtabekHans-rudolf JauslinDavid DaemsArne KellerStéphane Guérinsubject
PhysicsQuantum PhysicsTruncationIterative methodQuantum dynamicsFOS: Physical sciencesSuperconvergenceUnitary stateAtomic and Molecular Physics and OpticsQuasiperiodic functionPerturbation theory (quantum mechanics)Quantum Physics (quant-ph)Adiabatic processMathematics::Symplectic GeometryMathematical physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-05-27 | Physical Review A |