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arXiv · 1404.0635

General structure of quantum collisional models

Bassano Vacchini
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Abstract

We point to the connection between a recently introduced class of non-Markovian master equations and the general structure of quantum collisional models. The basic construction relies on three basic ingredients: a collection of time dependent completely positive maps, a completely positive trace preserving transformation and a waiting time distribution characterizing a renewal process. The relationship between this construction and a Lindblad dynamics is clarified by expressing the solution of a Lindblad master equation in terms of demixtures over different stochastic trajectories for the statistical operator weighted by suitable probabilities on the trajectory space.

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Bassano Vacchini. 2014-04-02. General structure of quantum collisional models. https://doi.org/10.1142/s0219749914610115

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