Non-divisibility and non-Markovianity in a Gaussian dissipative dynamics |
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Authors: | Fabio Benatti Roberto Floreanini Stefano Olivares |
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Affiliation: | 1. Dipartimento di Fisica, Università degli Studi di Trieste, I-34151 Trieste, Italy;2. Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, I-34151 Trieste, Italy;3. Dipartimento di Fisica, Università degli Studi di Milano, I-20133 Milano, Italy |
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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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