High-accuracy splitting algorithms for the time-dependent Schrodinger equation with a train of laser pulses

A. A. Gusev, O. Chuluunbaatar, Sergey I. Vinitsky, M. S. Kaschiev, Vladimir L. Derbov, Leonid A. Melnikov, Lev M. Babkov
High accuracy splitting algorithms based on the unitary approximations of the evolution operator for the timedependent Schrödinger equation (TDSE) with a train of laser pulses are developed. The efficiency of the algorithms is shown using typical examples of a hydrogen atom affected by a train of laser pulses in the dipole approximation and an additional constant magnetic field. The stabilization effects are discussed.
doi:10.1117/12.578913 fatcat:u3kz6jyyyfe3ppnjo7txv7inzi