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.
Evolution Equations for Quantum Semi-Markov Dynamics / N. Megier, A. Smirne, B.M. Vacchini. - In: ENTROPY. - ISSN 1099-4300. - 22:7(2020 Jul 21).
|Titolo:||Evolution Equations for Quantum Semi-Markov Dynamics|
SMIRNE, ANDREA (Secondo)
VACCHINI, BASSANO MARIA (Ultimo)
|Parole Chiave:||memory kernel; master equations; non-Markovianity; divisibility;|
|Settore Scientifico Disciplinare:||Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici|
Settore FIS/03 - Fisica della Materia
|Data di pubblicazione:||21-lug-2020|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.3390/e22070796|
|Appare nelle tipologie:||01 - Articolo su periodico|