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Control of quantum dynamics: concepts, procedures and future prospects. (English) Zbl 1066.81015

Le Bris, Claude (ed.), Special volume: Computational chemistry. Amsterdam: North-Holland (ISBN 0-444-51248-9/hbk). Handb. Numer. Anal. 10, 833-887 (2003).
From the text: This volume addresses numerical methods in various aspects of the chemical sciences and the present chapter contributes in that fashion to the subject of quantum control. However, in order to appreciate how numerical methods are relevant for quantum control it is essential to understand how they fit into the overall subject including its laboratory implementations. Thus, the chapter attempts to give a full perspective on the subject including its theoretical foundations as well as its current state in the laboratory.
The balance of this review will proceed as follows: after an introduction of the fundamental concepts in Section 2 we present in Section 3 theoretical results regarding on the controllability of bilinear quantum systems. Then, in Section 4 we present the available numerical and experimental algorithmically approaches employed to control quantum phenomena. Present topics of interest and open questions are the object of Section 5. Concluding remarks are presented in Section 6. The text draws on many works in the literature and especially a recent prospectus E. Brown and H. Rabitz [J. Math. Chem. 31, 17–63 (2002; Zbl 0996.81001)] on the field.
For the entire collection see [Zbl 1052.81001].

MSC:

81Q99 General mathematical topics and methods in quantum theory

Citations:

Zbl 0996.81001
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