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We study the quantum Jarzynski relation for driven quantum models embedded invarious environments. We do so by generalizing a proof presented by Mukamel[Phys. Rev. Lett 90, 170604 (2003)] for closed quantum systems. In this way, weare able to prove that the Jarzynski relation also holds for a bipartite systemwith microcanonical coupling. Furthermore, we show that, under the assumptionthat the interaction energy remains constant during the whole process, therelation is valid even for canonical coupling. The same follows for openquantum systems at high initial temperatures up to third order of the inversetemperature. Our analytical study is complemented by a numerical investigationof a special model system.

Model Studies on the Quantum Jarzynski Relation