6533b7d7fe1ef96bd1268247

RESEARCH PRODUCT

Two Applications of Geometric Optimal Control to the Dynamics of Spin Particles

Bernard BonnardMonique Chyba

subject

PhysicsClassical mechanicsChain (algebraic topology)Bloch equationsDynamics (mechanics)Mathematical analysisParameterized complexityIsing modelSaturation (chemistry)Optimal controlSpin-½

description

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.

yearjournalcountryeditionlanguage
2014-01-01
https://doi.org/10.1007/978-4-431-54907-9_5