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dc.contributor.authorDhahri, Ameur
dc.date.accessioned2014-02-18T15:49:05Z
dc.date.available2014-02-18T15:49:05Z
dc.date.issued2009
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/12682
dc.descriptionISBN : 978-3-642-01762-9en
dc.language.isoenen
dc.subjectMarkovian approachen
dc.subjectHamiltonian approachen
dc.subjectquantum open system theoryen
dc.subject.ddc519en
dc.titleMarkovian properties of the spin-boson modelen
dc.typeChapitre d'ouvrage
dc.description.abstractenWe systematically compare the Hamiltonian and Markovian approaches of quantum open system theory, in the case of the spin-boson model. We first give a complete proof of the weak coupling limit and we compute the Lindblad generator of this model. We study properties of the associated quantum master equation such as decoherence, detailed quantum balance and return to equilibrium at inverse temperature 0 < β ≤ ∞. We further study the associated quantum Langevin equation, its associated interaction Hamiltonian. We finally give a quantum repeated interaction model describing the spin‐boson system where the associated Markovian properties are satisfied without any assumption.en
dc.identifier.citationpages397-432en
dc.relation.ispartoftitleSéminaire de Probabilités XLIIen
dc.relation.ispartofeditorDonati-Martin, Catherine
dc.relation.ispartofeditorEmery, Michel
dc.relation.ispartofeditorRouault, Alain
dc.relation.ispartofeditorStricker, Christophe
dc.relation.ispartofpublnameSpringeren
dc.relation.ispartofpublcityBerlinen
dc.relation.ispartofdate2009
dc.relation.ispartofpages449en
dc.relation.ispartofurlhttp://dx.doi.org/10.1007/978-3-642-01763-6en
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.forthcomingnonen
dc.identifier.doihttp://dx.doi.org/10.1007/978-3-642-01763-6_15en


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