Non-Markovianity for a qubit system driven by a classical phase noisy laser

In this paper, the degree of non-Markovian behaviour for a qubit system driven by a classical phase noisy laser (CPNL) is investigated. We analyse the dynamics of the rate of change of the trace distance in two different dynamical regimes in relation to the values of the system parmeters. The results show that the behaviour of the non-Markovianity depends on the ratio of the CPNL rate and the system-environment coupling strength. In the non-Markovian classical noise region, the non-Markovian character becomes less evident when the ratio of the CPNL rate and the system-environment coupling increases.