Applying Principle Control Analysis to Optical Pulse Shapes Optimized for Selective Fragmentation of Clusters

Principal control analysis has been applied to the results of a learning algorithm search that optimized optical pulse shapes for selective fragmentation of $S_8$ clusters. This technique reduces the control dimensions needed for pulse shape optimization for this multiphoton process. Pulse shapes optimized for ionization/fragmentation generally require more control directions than the stimulated Raman scattering processes explored by White {\it et al}\thanks{J. L. White, B. J. Pearson, and P. H. Bucksbaum, J. Phys. B {\bf 37}, L399 (2004).}$^2$. Thus, despite using principal control analysis, it still appears difficult to extract information about the quantum dynamics of higher order processes from the optimized pulse shape. %[1] J. L. White, B. J. Pearson, and P. H. Bucksbaum, J. Phys. B %{\bf 37}, L399 (2004).