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Two applications of geometric optimal control to the dynamics of spin particle

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Abstract

The purpose of this article is to present the application of methods from geometric optimal control to two problems in the dynamics of spin particles. First, we consider the saturation problem for a single spin system and second, the control of a linear chain of spin particles with Ising couplings. For both problems the minimizers are parameterized using Pontryagin Maximum Principle and the optimal solution is found by a careful analysis of the corresponding equations.
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Dates and versions

hal-00956828 , version 1 (07-03-2014)

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  • HAL Id : hal-00956828 , version 1

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Bernard Bonnard, Monique Chyba. Two applications of geometric optimal control to the dynamics of spin particle. 2013. ⟨hal-00956828⟩
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