Journal Article Exploring complete positivity in hierarchy equations of motion

Witt, B  ,  Rudnicki, Ł  ,  Tanimura, Y  ,  Mintert, F

192017-01-09 , IOP Publishing
ISSN:1367-2630
Description
We derive a purely algebraic framework for the identification of hierarchy equations of motion that induce completely positive dynamics and demonstrate the applicability of our approach with several examples. We find bounds on the violation of complete positivity for microscopically derived hierarchy equations of motion and construct well-behaved phenomenological models with strongly non-Markovian revivals of quantum coherence.
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http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/226523/1/1367-2630_19_1_013007.pdf

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