Optimal control of quantum lambda systems with an occupancy cost?

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dc.contributor.authorD'Alessandro, Domenico
dc.contributor.authorIsik, Yasemin
dc.date.accessioned2024-06-12T11:09:37Z
dc.date.available2024-06-12T11:09:37Z
dc.date.issued2024
dc.departmentTrakya Üniversitesien_US
dc.description.abstractWe consider the problem of population transfer optimal control for a quantum Lambda system where the control couples pairwise only the lowest two energy levels to the highest level. The cost to be minimized expresses a compromise between minimizing the energy of the control and the average population in the highest level (occupancy), which is the one mostly subject to decay. Such a problem admits a group of symmetries, that is, a Lie group acting on the state space, which leaves dynamics, cost and initial and final conditions unchanged. By identifying a splitting of the tangent bundle into a vertical (tangent to the orbits) and horizontal (complementary) subspace at every point (a connection), we develop a symmetry reduction technique. In this setting, the problem reduces to a real problem on the sphere S2 for which we derive several properties and provide a practical method for the solution. We also describe an explicit numerical example. (c) 2024 Elsevier Ltd. All rights reserved.en_US
dc.identifier.doi10.1016/j.automatica.2024.111595
dc.identifier.issn0005-1098
dc.identifier.issn1873-2836
dc.identifier.scopus2-s2.0-85186651525en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.automatica.2024.111595
dc.identifier.urihttps://hdl.handle.net/20.500.14551/22886
dc.identifier.volume163en_US
dc.identifier.wosWOS:001220477200001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofAutomaticaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectOptimal Control Of Quantum Systemsen_US
dc.subjectSymmetry Reductionen_US
dc.subjectVariational Methodsen_US
dc.subjectQuantum Lambda Systemsen_US
dc.subjectPontryagin Maximum Principleen_US
dc.subjectOccupancy Costen_US
dc.subjectReduction To The Real Caseen_US
dc.titleOptimal control of quantum lambda systems with an occupancy cost?en_US
dc.typeArticleen_US

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