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Keywords
(9)
Chemical Reaction
Coherent Control
Control Method
Optimal Control Theory
Pulse Shaping
Quantum Dynamics
Quantum Physics
Quantum System
Time Dependent
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PhD TUTORIAL: Quantum optimal control theory
PhD TUTORIAL: Quantum optimal control theory,10.1088/09534075/40/18/R01,Journal of Physics Batomic Molecular and Optical Physics,J. Werschnik,E. K.
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PhD TUTORIAL: Quantum optimal control theory
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Citations: 9
)
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J. Werschnik
,
E. K. U. Gross
The control of
quantum dynamics
via specially tailored laser pulses is a longstanding goal in physics and chemistry. Partly, this dream has come true, as sophisticated pulseshaping 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 finaltime control methods, the tutorial also presents an algorithm and an example to handle timedependent control targets.
Journal:
Journal of Physics Batomic Molecular and Optical Physics  J PHYSBAT MOL OPT PHYS
, vol. 40, no. 18, pp. 175R211, 2007
DOI:
10.1088/09534075/40/18/R01
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Citation Context
(1)
...Ref. [
26
]). For solving the reformulated problem, we use a quasiNewton method with the Broyden–Fletcher–Goldfarb–Shanno (BFGS) update formula...
...Note that Werschnik and Gross [
26
] discuss a similar procedure for the Krotov method...
Katharina Kormann
,
et al.
A FourierCoefficient Based Solution of an Optimal Control Problem in ...
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Citations
(9)
A FourierCoefficient Based Solution of an Optimal Control Problem in Quantum Chemistry
Katharina Kormann
,
Sverker Holmgren
,
Hans O. Karlsson
Journal:
Journal of Optimization Theory and Applications  J OPTIMIZ THEOR APPL
, vol. 147, no. 3, pp. 491506, 2010
The characteristics of limit points of any trajectory of mixedstate quantum systems in the Lyapunovbased control design
Sen Kuang
,
Shuang Cong
Published in 2010.
Quantum control theory and applications: A survey
(
Citations: 7
)
Daoyi Dong
,
Ian R Petersen
Published in 2009.
Heteronuclear decoupling by optimal tracking
(
Citations: 2
)
Jorge L. Neves
,
Björn Heitmann
,
Navin Khaneja
,
Steffen J. Glaser
Journal:
Journal of Magnetic Resonance  J MAGN RESON
, vol. 201, no. 1, pp. 717, 2009
Robust orthogonal parameterization of evolution strategy for adaptive laser pulse shaping
Aliakbar Jafarpour
,
Janne Savolainen
,
Rianne de Jong
,
Jacob Middag
,
Daan P. Sprünken
,
Peter van der Walle
,
Di Yang
,
Jennifer L. Herek
Journal:
Optics Express  OPT EXPRESS
, vol. 17, no. 14, pp. 1198612000, 2009