Stuttgart 2012 – scientific programme

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A: Fachverband Atomphysik

A 2: Atomic systems in external fields I

A 2.3: Talk

Monday, March 12, 2012, 11:00–11:15, V57.05

Numerical time-dependent quantum dynamics at relativistic laser intensities — •Heiko Bauke, Matthias Ruf, Frederick Blumenthal, and Christoph H. Keitel — Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg

The quantum dynamics of high intensity laser-matter interactions necessitate a relativistic treatment. The derivation of analytical solutions of the Dirac equation or the Klein-Gordon equation, however, is possible for very few highly symmetric systems only. Many setups of ultra-short laser matter interactions at relativistic intensities require numerical approaches. In this contribution, we survey the challenges of numerical time-dependent relativistic quantum dynamics and present approaches to master these challenges by smart numerical algorithms [1, 2], high-performance implementations on parallel architectures [1, 3] and casting a quantum system’s mathematical description by physical insights into a form that is beneficial for numerical methods [4]. Some applications of numerical relativistic time-dependent quantum dynamics will be highlighted.

=8 0pt @percent0.046@percent0.954@percent0pt @percent0.046@percent0.954@percent0pt @percent0.046@percent0.954@percent0pt @percent0.046@percent0.954@percent[1] Matthias Ruf, Heiko Bauke and Christoph H. Keitel, Journal of Computational Physics, 228, pp. 9092–9106 (2009)
 Frederick Blumenthal and Heiko Bauke, Journal of Computational Physics, 231, pp. 454–464 (2012)
 Heiko Bauke and Christoph H. Keitel, Computer Physics Communications, 182, pp. 2454–2463 (2011)
 Heiko Bauke and Christoph H. Keitel, Physical Review E, 80, article 016706 (2009)