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Quantum optimal control theory

Open access
Werschnik, J, Gross, E K U·2007·Journal of Physics B: Atomic, Molecular and Optical Physics

Abstract

The control of quantum dynamics via specially tailored laser pulses is a long-standing goal in physics and chemistry. Partly, this dream has come true, as sophisticated pulse-shaping experiments allow us to coherently control product ratios of chemical reactions. The theoretical design of the laser pulse to transfer an initial state to a given final state can be achieved with the help of quantum optimal control theory (QOCT). This tutorial provides an introduction to QOCT. It shows how the control equations defining such an optimal pulse follow from the variation of a properly defined functional. We explain the most successful schemes to solve these control equations and show how to incorporate additional constraints in the pulse design. The algorithms are then applied to simple quantum systems and the obtained pulses are analysed. Besides the traditional final-time control methods, the tutorial also presents an algorithm and an example to handle time-dependent control targets.

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Metadata

Authors
Werschnik, J., & Gross, E. K. U.
Venue
Journal of Physics B: Atomic, Molecular and Optical Physics
Published
2007-09-04
Volume
40
Issue
18
Pages
R175-R211
ISSN
  • 0953-4075 (ISSN-L)
  • 1361-6455
OpenAlex
W1970354341
Cited by
471
References
2
FWCI
8.15
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Quantum optimal control theory. https://app.cochat.ai/papers/10.1088/0953-4075/40/18/r01
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Werschnik, J., & Gross, E. K. U. (2007). Quantum optimal control theory. Journal of Physics B: Atomic, Molecular and Optical Physics. https://doi.org/10.1088/0953-4075/40/18/r01

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.