Berlin 2005 – scientific programme

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Q: Quantenoptik und Photonik

Q 54: Anwendung ultrakurzer Lichtimpulse II

Q 54.2: Talk

Tuesday, March 8, 2005, 17:45–18:00, HU 1070

Optimal control theory of time-dependent targets — •Jan Werschnik, Ioana Serban, and E.K.U. Gross — Freie Universitaet Berlin, Arnimallee 14, 14195 Berlin, Germany

The control of quantum mechanical systems by laser interaction has witnessed tremendous progress in the last 15 years. On the experimental side this progress was due to the development of pulse shaping techniques and on the theoretical side, the prediction of laser pulses has been pushed forward by the introduction of rapidly, monotonically convergent algorithms. So far, theory and experiment have concentrated on the control of time-independent targets, e.g., a specified final state should be maximally populated at the end of the laser pulse. In this talk we demonstrate the feasibility of computational quantum control for time-dependent targets. In particular, we show that the the time-dependent density can be driven along a given trajectory in real space and we control the time-dependent occupation numbers of a two-level system and a 1D model for hydrogen. The employed algorithm converges monotonically and is computationally not more expensive than algorithms for the optimization of time-independent targets.