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Abstract: The control of quantum dynamics via specially tailored laser pulses is along-standing goal in physics and chemistry. Partly, this dream has come true,as sophisticated pulse shaping experiments allow to coherently control productratios of chemical reactions. The theoretical design of the laser pulse totransfer an initial state to a given final state can be achieved with the helpof quantum optimal control theory QOCT. This tutorial provides anintroduction to QOCT. It shows how the control equations defining such anoptimal pulse follow from the variation of a properly defined functional. Weexplain the most successful schemes to solve these control equations and showhow to incorporate additional constraints in the pulse design. The algorithmsare then applied to simple quantum systems and the obtained pulses areanalyzed. Besides the traditional final-time control methods, the tutorial alsopresents an algorithm and an example to handle time-dependent control targets.

Autor: J. Werschnik, E.K.U. Gross

Fuente: https://arxiv.org/

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