Formulation and Numerical Solution of Quantum Control Problems

Ebook Details


Alfio Borzi, Gabriele Ciaramella, Martin Sprengel

Year 2017
Pages 390
Publisher SIAM-Society for Industrial &amp
Language en
ISBN 9781611974836
File Size 4.71 MB
File Format PDF
Download Counter 121
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Ebook Description

This book provides an introduction to representative nonrelativistic quantum control problems and their theoretical analysis and solution via modern computational techniques. The quantum theory framework is based on the SchrÓdinger picture, and the optimization theory, which focuses on functional spaces, is based on the Lagrange formalism. The computational techniques represent recent developments that have resulted from combining modern numerical techniques for quantum evolutionary equations with sophisticated optimization schemes. Both finite and infinite-dimensional models are discussed, including the three-level Lambda system arising in quantum optics, multispin systems in NMR, a charged particle in a well potential, Bose?Einstein condensates, multiparticle spin systems, and multiparticle models in the time-dependent density functional framework. This self-contained book covers the formulation, analysis, and numerical solution of quantum control problems and bridges scientific computing, optimal control and exact controllability, optimization with differential models, and the sciences and engineering that require quantum control methods. ÷÷