Chin. Phys. B, 2014, Vol. 23(4): 040302    DOI: 10.1088/1674-1056/23/4/040302
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Nonlocal non-Markovian effects in dephasing environments

Xie Dong, Wang An-Min
Department of Modern Physics, University of Science and Technology of China, Hefei 230027, China
Abstract  We study the nonlocal non-Markovian effects through local interactions between two subsystems and the corresponding 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.
Keywords:  non-Markovian      Markovian      nonlocal      bound
Received:  29 May 2013      Revised:  29 August 2013      Accepted manuscript online:
 PACS: 03.67.-a (Quantum information) 03.65.Yz (Decoherence; open systems; quantum statistical methods) 42.50.-p (Quantum optics) 03.65.Ta (Foundations of quantum mechanics; measurement theory)
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10975125 and 11375168).
Corresponding Authors:  Xie Dong, Wang An-Min     E-mail:  xiedong@mail.ustc.edu.cn;anmwang@ustc.edu.cn
About author:  03.67.-a; 03.65.Yz; 42.50.-p; 03.65.Ta