Non-Markovian Dynamics of Quantum and Classical Correlations in the Presence of System-Bath Coherence
Chuan-Feng Li, Hao-Tian Wang, Hong-Yuan Yuan, Rong-Chun Ge, and, Guang-Can Guo

TL;DR
This paper investigates how quantum and classical correlations evolve in non-Markovian environments using hierarchy equations, revealing phenomena like sudden changes and transitions influenced by system-bath interactions.
Contribution
It introduces a detailed theoretical framework for analyzing correlation dynamics in non-Markovian systems considering system-bath coherence effects.
Findings
Correlations can undergo sudden changes and transitions.
System-bath interactions influence correlation dynamics.
Special initial states exhibit abrupt correlation transitions.
Abstract
We present a detailed study of the dynamics of correlations in non-Markovian environments, applying the hierarchy equations approach. This theoretical treatment is able to take the system-bath interaction into consideration carefully. It is shown that crosses and sudden changes of classical and quantum correlations can happen if we gradually reduce the strength of the interactions between qubits. For some special initial states, sudden transitions between classical and quantum correlations even occur.
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