1212.5680 (Dong Xie et al.)

Nonlocal Non-Markovian Effects    [PDF]

Dong Xie, An Min Wang

We study the nonlocal non-Markovian effects through local interactions of two subsystems and two environments. Due to the initial correlations in the two environments, counterintuitively, the global non-Markovian effects and the local decoherence occur at the same time. Without extra control, the abnormal phenomenon only appears under the condition that two local dynamics are non-Markovian-non-Markovian, or Markovian-non-Markovian, never appear under the condition of Markovian-Markovian. It shows that the correlations of two environments can make the time of the arrival of nonlocal non-Markorvian effects become finitely shorter than the local. If we have an extra control, the abnormal phenomenon will appear under the condition of Markovian-Markovian. We find that the classical correlations have the same function as the quantum correlations, then we advise two special ways to distribute classical correlations between two environments without initial correlations. And we obtain that the self-correlation of each environment helps the nonlocal non-Markovian effects.

View original: http://arxiv.org/abs/1212.5680