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International audienceWe consider a quantum system composed of a fast quantum subsystem coupled to a slow one. We provide expressions of the approximate reduced model describing the slow subsystem perturbed by the fast one (adiabatic elimination), based on an asymptotic expansion that we solve up to second order. The specificity of our expressions is to preserve the quantum structure in the reduced model: we provide the reduced dynamics in Lindblad form, and the mapping defining the slow manifold as a completely positive map in Kraus form

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Structure-preserving adiabatic elimination for open bipartite quantum systems 1 1This work was partially supported by the Projet Blanc ANR-2011-BS01-017-01 EMAQS.