In this paper, a two-level atom coupled with a double Lorentzian spectrum is solved by pseudomode theory, and an analytic representation of the density operator is obtained. Second, the paper investigates the entanglement witness and entropy uncertainty, and gets the analytical representation of entanglement, uncertainty, and their relationship. The environmental effects of the double Lorentzian spectrum are explained by non-Markovianity. In addition, this paper studies the influence of the Zeno effect on entanglement witness and uncertainty. The results show that the Zeno effect not only can effectively prolong the time of entanglement witness and reduce the lower bound of the entropy uncertainty but also can greatly enhance the time of entanglement witness and reduce the entanglement value of witness.

中文翻译：

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芝诺效应下开放量子系统的纠缠见证和熵不确定性

本文利用伪模理论求解了一个具有双洛伦兹谱的两能级原子，并获得了密度算符的解析表示。其次，研究了纠缠证人和熵的不确定性，得到了纠缠，不确定性及其关系的解析表示。双重洛伦兹谱对环境的影响用非马尔可夫性来解释。此外，本文研究了芝诺效应对纠缠证人和不确定性的影响。结果表明，芝诺效应不仅可以有效地延长纠缠证人的时间，减少熵不确定性的下限，而且可以大大延长纠缠证人的时间，降低证人的纠缠价值。