We study a stochastic Schrödinger 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.
Non-divisibility and non-Markovianity in a Gaussian dissipative dynamics / F. Benatti, R. Floreanini, S. Olivares. - In: PHYSICS LETTERS A. - ISSN 0375-9601. - 376:45(2012), pp. 2951-2954. [10.1016/j.physleta.2012.08.044]
Non-divisibility and non-Markovianity in a Gaussian dissipative dynamics
S. Olivares
2012
Abstract
We study a stochastic Schrödinger 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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