Transformations to diagonal bases in closed-loop quantum learning control experiments

This paper discusses transformations between bases used in closed-loop learning control experiments. The goal is to transform to a basis in which the number of control parameters is minimized and in which the parameters act independently. We demonstrate a simple procedure for testing whether a unita...

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Bibliographic Details
Published in:The Journal of chemical physics 2005-03, Vol.122 (12), p.124306-124306
Main Authors: Cardoza, David, Trallero-Herrero, Carlos, Langhojer, Florian, Rabitz, Herschel, Weinacht, Thomas
Format: Article
Language:English
Subjects:
ALGORITHMS
ATOMIC AND MOLECULAR PHYSICS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DISSOCIATION
FRAGMENTATION
OPTIMAL CONTROL
PHOTOIONIZATION
PHOTON-MOLECULE COLLISIONS
TESTING
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Summary:This paper discusses transformations between bases used in closed-loop learning control experiments. The goal is to transform to a basis in which the number of control parameters is minimized and in which the parameters act independently. We demonstrate a simple procedure for testing whether a unitary linear transformation (i.e., a rotation amongst the control variables) is sufficient to reduce the search problem to a set of globally independent variables. This concept is demonstrated with closed-loop molecular fragmentation experiments utilizing shaped, ultrafast laser pulses.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.1867334