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Hamiltonian identification for quantum systems : well posedness and numerical approaches

dc.contributor.authorTurinici, Gabriel
HAL ID: 16
ORCID: 0000-0003-2713-006X
dc.contributor.authorRabitz, Herschel
dc.contributor.authorMirrahimi, Mazyar
dc.contributor.authorLe Bris, Claude
dc.date.accessioned2013-03-27T12:54:02Z
dc.date.available2013-03-27T12:54:02Z
dc.date.issued2007
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/11162
dc.language.isoenen
dc.subjectoptimal identificationen
dc.subjectHamiltonian identificationen
dc.subjectquantum systemsen
dc.subjectInverse problemen
dc.subject.ddc515en
dc.titleHamiltonian identification for quantum systems : well posedness and numerical approachesen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherChemistry Department http://www.princeton.edu/chemistry/index.xml;États-Unis
dc.contributor.editoruniversityotherSISYPHE (SIgnals and SYstems in PHysiology and Engineering) (INRIA Rocquencourt);France
dc.contributor.editoruniversityotherMICMAC (INRIA Paris - Rocquencourt);France
dc.contributor.editoruniversityotherCentre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS);France
dc.description.abstractenThis paper considers the inversion problem related to the manipulation of quantum systems using laser-matter interactions. The focus is on the identification of the field free Hamiltonian and/or the dipole moment of a quantum system. The evolution of the system is given by the Schrödinger equation. The available data are observations as a function of time corresponding to dynamics generated by electric fields. The well-posedness of the problem is proved, mainly focusing on the uniqueness of the solution. A numerical approach is also introduced with an illustration of its efficiency on a test problem.en
dc.relation.isversionofjnlnameESAIM. COCV
dc.relation.isversionofjnlvol13en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate2007
dc.relation.isversionofjnlpages378-395en
dc.relation.isversionofdoihttp://dx.doi.org/10.1051/cocv:2007013en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00798211en
dc.relation.isversionofjnlpublisherEDP Sciencesen
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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