Aufgrund von Vorbereitungen auf eine neue Version von KOPS, können kommenden Montag und Dienstag keine Publikationen eingereicht werden. (Due to preparations for a new version of KOPS, no publications can be submitted next Monday and Tuesday.)
Type of Publication:  Contribution to a conference collection 
Publication status:  Published 
Author:  Ciaramella, Gabriele 
Year of publication:  2015 
Conference:  SIAM Conference on Control and its Applications 2015, Jul 8, 2015  Jul 10, 2015, Paris, France 
Published in:  2015 Proceedings of the Conference on Control and its Applications / Bonnet, Catherine; PasikDuncan, Bozenna; Ozbay, Hitay; Zhang, QingWen (ed.).  Philadelphia, PA : SIAM, 2015.  pp. 244250.  ISBN 9781611974072 
DOI (citable link):  https://dx.doi.org/10.1137/1.9781611974072.34 
Summary: 
A computational framework for the exactcontrol of the magnetic state and the spin of an electron is presented. The evolution of this quantum system is governed by the Pauli equation, that is a system of Schrödinger equations coupled by the action of magnetic fields. The magnetic fields are used as controls in order to steer the quantum system from an initial state to a desired target state at a given final time. This control framework is based on a minimum norm optimization formulation of exactcontrollability quantum problems, that allows the application of efficient KrylovNewton optimization techniques. In order to provide this framework with an adequate initialization, a continuation procedure is discussed. Results of numerical experiments demonstrate the effectiveness of the proposed framework.

Subject (DDC):  510 Mathematics 
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CIARAMELLA, Gabriele, 2015. Towards a minimum L^{2}norm exact control of the Pauli equation. SIAM Conference on Control and its Applications 2015. Paris, France, Jul 8, 2015  Jul 10, 2015. In: BONNET, Catherine, ed., Bozenna PASIKDUNCAN, ed., Hitay OZBAY, ed., QingWen ZHANG, ed.. 2015 Proceedings of the Conference on Control and its Applications. Philadelphia, PA:SIAM, pp. 244250. ISBN 9781611974072. Available under: doi: 10.1137/1.9781611974072.34
@inproceedings{Ciaramella20150807Towar41231, title={Towards a minimum L^{2}norm exact control of the Pauli equation}, year={2015}, doi={10.1137/1.9781611974072.34}, isbn={9781611974072}, address={Philadelphia, PA}, publisher={SIAM}, booktitle={2015 Proceedings of the Conference on Control and its Applications}, pages={244250}, editor={Bonnet, Catherine and PasikDuncan, Bozenna and Ozbay, Hitay and Zhang, QingWen}, author={Ciaramella, Gabriele} }