Darmstadt 2008 – scientific programme
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MO: Fachverband Molekülphysik
MO 20: Quantenkontrolle
MO 20.3: Poster
Thursday, March 13, 2008, 16:30–19:00, Poster C1
A New Approach To Optimal Control Theory — •Christian Schwenke1, Ronnie Kosloff2 und Christiane P. Koch1 — 1Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin — 2Department of Physical Chemistry, Hebrew University, Jerusalem 91904, Israel
Optimal control theory (OCT) was developed to find shaped pulses to control molecular dynamics. Switching the pulse on and off constraints the pulse in time and to create shaped pulses with fs lasers restricts spectral bandwidth. In the iterative approach [1] only one constraint, either in time or in frequency domain, can be imposed. We suggest an optimization scheme which allows for taking into account both constraints by combining the (t,t’)-method [2] with OCT. The optimized fields will be found by solving a SCF-like problem.
[1] W. Zhu, J. Botina, H. Rabitz, Rapid convergent iterative methods for quantum optimal control of population J. Chem. Phys. 108, 1953 (1998).
[2] U. Peskin, N. Moiseyev, The solution of the time-dependent Schrödinger equation by the (t,t’)-method: Theory, computational alogorithm and applications J. Chem. Phys. 99, 4590 (1993).