Femtosecond evolution of spatially inhomogeneous carrier excitations part II: Stochastic approach and grid implementation

Abstract

We present a stochastic approach for solving the quantum-kinetic equation introduced in Part I. A Monte Carlo method based on backward time evolution of the numerical trajectories is developed. The computational complexity and the stochastic error are investigated numerically. Variance reduction techniques are applied, which demonstrate a clear advantage with respect to the approaches based on symmetry transformation. Parallel implementation is realized on a GRID infrastructure. © Springer-Verlag Berlin Heidelberg 2006.