Nonlocal non-Markovian effects in dephasing environments

• Published in: Chinese physics B Vol. 23; no. 4; pp. 102 - 108
• Main Author: 谢东 王安民
• Format: Journal Article
• Language: English
• Published: 01.04.2014
• Subjects: Correlation; Dynamics; Markov processes; Mathematical analysis; Mathematical models; Stars; Upper bounds; 子系统; 环境; 相互作用时间; 自相关性; 退相; 非局部; 非马尔科夫; 马尔可夫
• ISSN: 1674-1056; 2058-3834; 1741-4199
• DOI: 10.1088/1674-1056/23/4/040302

We study the nonlocal non-Markovian effects through local interactions between two subsystems and the correspond- ing two environments. It has been found that the initial correlations between two environments can turn a Markovian to a non-Markovian regime with extra control on the local interaction time. We further research the nonlocal non-Markovian effects from two situations： without extra control, the nonlocal non-Markovian effects only appear under the condition that two local dynamics are non-Markovian-non-Markovian （both of the two local dynamics are non-Markovian） or Markovian- non-Markovian, but not under the condition of Markovian-Markovian; with extra control, the nonlocal non-Markovian effects can occur under the condition of Markovian-Markovian. It shows that the function of correlations between two environments has an upper bound, which makes a flow of information from the environment back to the global system beginning finitely earlier than that back to one of the two local systems, not infinitely. Then, we proposed two special ways to distribute classical correlations between two environments without initial correlations. Finally, from numerical solutions in the spin star configuration, we found that the self-correlation （internal correlation） of each environment promotes the nonlocal non-Markovian effects.