Abstract
By use of the measure, the backflow of information presented recently, we study the non-Markovianity of the dynamics for a two-level system interacting with a zero-temperature structured environment via amplitude-phase coupling. In the limit of weak coupling between the system and its reservoir, the time-local non-Markovian master equation for the reduced state of the system is derived. Under the secular approximation, the exact analytic solution is obtained. Numerical simulations show that the amplitude and phase dampings can produce destructive interference to the backflow of information, leading to the weaker non-Markovianity of the compound dynamics compared with the dynamics of a single amplitude or phase damping model. We also study the characteristics of the initial-state pairs that maximize the backflow of information.
Highlights
The evolution of open quantum systems can be divided into two basic types, i.e., Markovian and non-Markovian processes
By use of the measure, the backflow of information presented recently, we study the non-Markovianity of the dynamics for a two-level system interacting with a zero-temperature structured environment via amplitude-phase coupling
We have studied the non-Markovianity of the dynamics for a two-level system interacting with a zero-temperature structured environment via amplitudephase damping
Summary
The evolution of open quantum systems can be divided into two basic types, i.e., Markovian and non-Markovian processes. Quantum non-Markovian processes can lead to distinctly different effects on decoherence and disentanglement [6, 7] of open systems compared with Markovian processes, which are important both for the enriching of the basic theory of quantum mechanics and for some practical applications, such as the quantum metrology [8] and quantum key distribution [9]. Because of these distinct properties and extensive applications, more and more attentions and interest have been devoted to the study of.
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