Non-Markovianity measure using two-time correlation functions

作者：Ali Md Manirul^*; Lo Ping Yuan; Tu Matisse Wei Yuan; Zhang Wei Min

来源：Physical Review A, 2015, 92(6): 062306.

DOI：10.1103/PhysRevA.92.062306

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.

• 出版日期2015-12-3