Exchange the Markovianity and the memory of magnetic environment interacting locally with a single quantum dot

Abstract

In this manuscript, we show that it is possible to change the environment Markovianity/memory into non-Markovianity/memoryless, and vice versa. This idea is clarified by considering a system of a single two level quantum dot interacts locally with a magnetic field. The Markovianity of the environment depends on whether the coupling between the two systems is time dependent/independent and whether the systems suffering from damping or not. The amount of the lost/gained information and its scrambling depends on the energy gap spacing between the levels of the quantum dot, where the Skew information and the out-of-time ordered are used as quantifiers for both phenomena. Thermally, one can freeze the environment properties to be memory/ memoryless, where our results show the amount of exchanging information and its scrambling are constant as the temperature increases.