The Influence Of The Initial Correlation Between System And Environment To Non-Markovian

Any real quantum system will inevitably interact with the environment, then the energy and information exchange with the environment, leading to quantum decoherence of the system. So far, the Markovian process has been fully studied when the coupling between system and environment is week. But in fact the strong coupling between quantum system and environment exists generally, this requests us to investigate the non-Markovian process. Then we investigate the influence of initial correlation between system and environment on the dynamical behavior of open quantum systems based on a collision model. The environment is divided into two parts, one part can interact with system directly, which is called internal environment, and another part can not directly interact with the environment, which is called remain enviroment. And two cases are considered, one is having correlation in the remain enviroment and another is having no correlation. It is found that it can lead the non-Markovian dynamics in both cases, when the initial correlation between the system and the environment exists. Specifically, in some cases the dynamic behavior of system is Markovian when there is no initial correlation between the system and environment, but it will be non-Markovian when there are initial correlations between the system and environment. And, under the same conditions, for different interaction strength between the system and environment, non-Markovian also will be significantly different between the remain environments having or not having correlation.