Non-Markovianity measure using two-time correlation functions

Md Manirul Ali, Ping Yuan Lo, Matisse Wei Yuan Tu, Wei Min Zhang

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39 Scopus citations


We investigate non-Markovianity measure using two-time correlation functions for open quantum systems. We define non-Markovianity measure as the difference between the exact two-time correlation function and the one obtained from quantum regression theorem in the Born-Markov approximation. Such non-Markovianity can easily be measured in experiments. We found that the non-Markovianity dynamics in different time scale crucially depends on the system-environment coupling strength and other physical parameters such as the initial temperature of the environment and the initial state of the system. In particular, we obtain the short-time and long-time behaviors of non-Markovianity for different spectral densities. We find that the thermal fluctuation always reduce the non-Markovian memory effect. Also, the non-Markovianity measure shows nontrivial initial state dependence in different time scales.

Original languageAmerican English
Article number062306
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number6
StatePublished - 3 Dec 2015
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2015 American Physical Society.


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