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arXiv:2012.11219 · Quantum Information Processing

On the non-Markovianity of quantum semi-Markov processes

Shrikant Utagi, Subhashish Banerjee, R. Srikanth

Published Nov 23, 2021• 2 citations
arXivHTMLPDF
DOI
10.1007/s11128-021-03302-x

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Using a newly introduced connection between the local and non-local description of open quantum system dynamics, we investigate the relationship between these two characterisations in the case of quantum semi-Markov processes. This class of quantum evolutions, which is a direct generalisation of the corresponding classical concept, guarantees mathematically well-defined master equations, while accounting for a wide range of phenomena, possibly in the non-Markovian regime. In particular, we analyse the emergence of a dephasing term when moving from one type of master equation to the other, by means of several examples. We also investigate the corresponding Redfield-like approximated dynamics, which are obtained after a coarse graining in time. Relying on general properties of the associated classical random process, we conclude that such an approximation always leads to a Markovian evolution for the considered class of dynamics.