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Theoretical model for ultracold molecule formation via adaptive feedback control

Ulrich Poschinger1, Wenzel Salzmann1, Roland Wester1, Matthias Weidemüller1, Christiane P Koch2,3 and Ronnie Kosloff2

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We theoretically investigate pump-dump photoassociation of ultracold molecules with amplitude- and phase-modulated femtosecond laser pulses. For this purpose, a perturbative model for light-matter interaction is developed and combined with a genetic algorithm for adaptive feedback control of the laser pulse shapes. The model is applied to the formation of 85Rb2 molecules in a magneto-optical trap. We find that optimized pulse shapes may maximize the formation of ground state molecules in a specific vibrational state at a pump-dump delay time for which unshaped pulses lead to a minimum of the formation rate. Compared to the maximum formation rate obtained for unshaped pulses at the optimum pump-dump delay, the optimized pulses lead to a significant improvement of about 40% for the target level population. Since our model yields the spectral amplitudes and phases of the optimized pulses, the results are directly applicable in pulse shaping experiments.


PACS

33.80.-b Photon interactions with molecules

82.50.-m Photochemistry

82.30.Nr Association, addition, insertion, cluster formation

33.15.Mt Rotation, vibration, and vibration-rotation constants

Subjects

Atomic and molecular physics

Chemical physics and physical chemistry

Dates

Issue 19 (14 October 2006)

Received 7 April 2006, in final form 19 July 2006

Published 25 September 2006



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