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arXiv · 1805.04806

Non-Markovianity of the Post Markovian Master Equation

Chris Sutherland·Todd A. Brun·Daniel A. Lidar
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Abstract

An easily solvable quantum master equation has long been sought that takes into account memory effects induced on the system by the bath, i.e., non-Markovian effects. We briefly review the Post-Markovian master equation (PMME), which is relatively easy to solve, and analyze a simple example where solutions obtained exhibit non-Markovianity. We apply the distinguishability measure introduced by Breuer et al., and we also explicitly analyze the divisibility of the associated quantum dynamical maps. We give a mathematical condition on the memory kernel used in the PMME that guarantees non-CP-divisible dynamics.

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Chris Sutherland, Todd A. Brun, Daniel A. Lidar. 2018-05-13. Non-Markovianity of the Post Markovian Master Equation. https://doi.org/10.1103/physreva.98.042119

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