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Formulation and Numerical Solution of Quantum Control Problems

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Formulation and Numerical Solution of Quantum Control Problems Synopsis

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 Schrödinger 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.

About This Edition

ISBN: 9781611974836
Publication date: 30th August 2017
Author: Alfio Borzi, Gabriele Ciaramella, Martin Sprengel
Publisher: Society for Industrial & Applied Mathematics,U.S.
Format: Hardback
Pagination: 390 pages
Series: Computational Science & Engineering
Genres: Quantum physics (quantum mechanics and quantum field theory)