English

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

Quantum Physics 2012-10-31 v1

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.

Keywords

Cite

@article{arxiv.1208.6101,
  title  = {Non-divisiblity and non-Markovianity in a Gaussian dissipative dynamics},
  author = {Fabio Benatti and Roberto Floreanini and Stefano Olivares},
  journal= {arXiv preprint arXiv:1208.6101},
  year   = {2012}
}

Comments

9 pages, 1 figure, LaTeX