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arXiv · 1208.6101

Non-divisiblity and non-Markovianity in a Gaussian dissipative dynamics

Fabio Benatti·Roberto Floreanini·Stefano Olivares
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Abstract

We study a stochastic Schroedinger equation that generates a family of Gaussian dynamical maps in one dimension permitting a detailed exam of two different definitions of non-Markovianity: one related to the explicit dependence of the generator on the starting time, the other to the non-divisibility of the time-evolution maps. The model shows instances where one has non-Markovianity in both senses and cases when one has Markovianity in the second sense but not in the first one.

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Fabio Benatti, Roberto Floreanini, Stefano Olivares. 2012-08-30. Non-divisiblity and non-Markovianity in a Gaussian dissipative dynamics. https://doi.org/10.1016/j.physleta.2012.08.044

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