Markovian Master Equations: A Critical Study

Details Markovian Master Equations: A Critical Study Markovian Master Equations: A Critical Study

2010-06-24

arxiv.org/abs/1006.4666v2

New J. Phys. 12, 113032 (2010)

Physics

Quantum Physics

40 pages, 14 figures, final version

Scientific paper

10.1088/1367-2630/12/11/113032

We derive Markovian master equations of single and interacting harmonic systems in different scenarios, including strong internal coupling. By comparing the dynamics resulting from the corresponding Markovian master equations with exact numerical simulations of the evolution of the global system, we precisely delimit their validity regimes and assess the robustness of the assumptions usually made in the process of deriving the reduced dynamics. The proposed method is sufficiently general to suggest that the conclusions made here are widely applicable to a large class of settings involving interacting chains subject to a weak interaction with an environment.

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