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arXiv:1712.09242

Non-Markovian dynamics and quantum interference of open three-level quantum systems

Hao‐Sheng Zeng, Yu-Kun Ren, Zhi He

Published Dec 26, 2017• 0 citations
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Abstract

The exactly analytical solutions for the dynamics of the dissipative three-level V-type and $Λ$-type atomic systems in the vacuum Lorentzian environments are presented. Quantum interference phenomenon between the two transitions in V-type atomic system is studied and the intuitive interference conditions are derived. For the dissipative $Λ$-type atomic system, we demonstrate that the similar quantum interference phenomenon does not exist. Finally, we study the dynamical evolution of quantum Fisher information, quantum entanglement and quantum coherence for the V-type atomic system. We find that quantum interference plays a positive role to the protection of quantum entanglement and quantum coherence. The difference between the two typical measures of the quantum coherence is also demonstrated in the considered systems.

DOI
10.48550/arxiv.1712.09242

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We present a paradigmatic method for exactly studying non-Markovian dynamics of a multi-level V-type atom interacting with a zero-temperature bosonic bath. Special attention is paid to the entanglement evolution and the dynamical non-Markovianity of a three-level V-type atom. We find that the entanglement negativity decays faster and non-Markovianity is smaller in the resonance regions than those in the non-resonance regions. More importantly, the quantum interference between the dynamical non-Markovianities induced by different transition channels is manifested, and the frequency domains for constructive and destructive interferences are found.
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The non-Markovian behavior of a V-type three-level atom coupled to a zero-temperature bosonic Lorentzian reservoir is investigated. The two decay channels from two upper states to the ground one are connected due to the spontaneously generated interference. When the two upper states are degenerate, the two channels can be decoupled, and an analytical lower bound of the non-Markovian behavior can be obtained by the optimal choice of a pair of initial states. The non-Markovian behavior can be enhanced by the interference.
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