Darmstadt 2008 – scientific programme

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MO: Fachverband Molekülphysik

MO 7: Quantenkontrolle

MO 7.5: Talk

Tuesday, March 11, 2008, 15:00–15:15, 3F

Optimal Control Theory With Restrictions in the Frequency Domain — •Markus Kowalewski, Caroline Gollub und Regina de Vivie-Riedle — Department Chemie, LMU München

We present an approach which combines global optimal control with constraints in the frequency domain. Due to the fact that time and frequency are non-commuting variables applying constraints to both of them is a demanding task. We face this problem with a modified Krotov OCT scheme which introduces frequency filters into the functional description of the OCT formulation. High optimization yields can be reached as well a good convergence behavior. In this sense the developed method can be regarded as an enhancement to existing algorithms [1,2]. With this tool at hand we can simulate optimization tasks in an experimentally realizable parameter range with respect to spectral bandwidth and pulse duration. Selected examples are presented to demonstrate the flexibility and efficiency of the algorithm.
[1] M. Artamonov, T.-S. Ho, H. Rabitz, Chem. Phys. 305, 213 (2004).

[2] C. P. Koch, J. P. Palao, R. Kosloff, F. M. Seeuws, Phys. Rev. A 70 (2004).