Non-Markovianity of the post-Markovian master equation

Presenting Author: Chris Sutherland, University of Southern California
Contributing Author(s): Daniel Lidar Todd Brun

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.

Read this article online: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.98.042119

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