Numerical integration of the time-dependent Schrödinger equation for two three-dimensional electrons reveals the behavior of helium in the presence of strong 390 nm and 800 nm light. Non-sequential double ionization is seen to take place predominantly at times when the electric-field component of the light reaches its peak value. Double ionization starts only in the second cycle of a flat-top pulse, and reaches a stable value only after many cycles, showing that recollision, sometimes through very long trajectories, must be involved.

OPG
doi.org/10.1364/OE.8.000417
Opt. Express

Muller, H. G. (2001). Non-sequential double ionization of helium and related wave-function dynamics obtained from a five-dimensional grid calculation. Opt. Express, 8(7), 417–424. doi:10.1364/OE.8.000417