Model Studies on the Quantum Jarzynski Relation

Details Model Studies on the Quantum Jarzynski Relation Model Studies on the Quantum Jarzynski Relation

2007-08-10

arxiv.org/abs/0708.1435v2

Phys. Rev. E 76, 051126 (2007)

Physics

Condensed Matter

Statistical Mechanics

7 figures

Scientific paper

10.1103/PhysRevE.76.051126

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

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