Evolution equations for quantum semi-Markov dynamics
- URL: http://arxiv.org/abs/2007.11276v1
- Date: Wed, 22 Jul 2020 08:57:45 GMT
- Title: Evolution equations for quantum semi-Markov dynamics
- Authors: Nina Megier, Andrea Smirne, Bassano Vacchini
- Abstract summary: We investigate the relationship between local and non-local description of open quantum system dynamics.
This class of quantum evolutions guarantees mathematically well-defined master equations.
We conclude that such an approximation always leads to a Markovian evolution for the considered class of dynamics.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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.
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