Dresden 2011 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 56: Ultrakurze Laserpulse: Anwendungen 3

Q 56.4: Vortrag

Donnerstag, 17. März 2011, 15:15–15:30, SCH A215

A split operator method for the Klein-Gordon equation with applications to ultrashort laser-matter interaction — •Matthias Ruf, Heiko Bauke, and Christoph H. Keitel — Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, D-69117 Heidelberg

The quantum dynamics of ultrashort high-intensity laser-matter interaction necessitate a relativistic treatment. Many problems may be treated by numerical means only. Here, we present a numerical scheme to solve the time evolution of the Klein-Gordon equation via the split operator method. Typical split operator methods act alternately in position and momentum space and, therefore, require the computation of a Fourier transform in each time step. In the two-component representation of the Klein-Gordon equation [1], however, the kinetic energy operator is nilpotent. This allows one to perform the split operator method for the Klein-Gordon equation entirely in position space and this way to avoid the computation of a Fourier transform.

We have implemented a position space split operator method [2] for the solution of the time-dependent Klein-Gordon equation with arbitrary electromagnetic fields. The parallel implementation is based on domain decomposition. In our presentation, we describe the computational details and address various physical applications, such as the ionization of highly charged hydrogenlike ions or electron-positron pair creation from vacuum.

[1] H. Feshbach and F. Villars, Rev. Mod. Phys. 30, 24 (1958)

[2] M. Ruf, H. Bauke and C. H. Keitel, J. Comp. Phys. 228, 9092 (2009)