论文标题

在玻色症环境中,两分Quibit System和Aubry-André链的量子相关性

Quantum correlations of a two-qubit system and the Aubry-André chain in bosonic environments

论文作者

Wang, He, Xu, Liufang, Wang, Jin

论文摘要

在这项研究中,我们使用张量网络算法分析了两个模型。首先在不同的玻色储库中研究了两分四分系统的量子相关性。讨论了平衡和非平衡场景。非马克维亚效应可以显着改善量子相关性的生存时间,并削弱逆转效应。具有现有记忆的非马克维亚动态可能会导致在特定情况下,而不是在无记忆的马尔可夫病例中看到的最终纠缠衰减或死亡。该系统在亚欧马的储层中达到最快的稳态状态,并显示了超欧马储层中最明显的非马克维亚行为。我们不仅研究环境对量子相关性的影响,还研究如何保护量子相关性。从两端最大纠缠的状态开始,还研究了一维AA链模型。我们通过监视失衡动态来确定不同的阶段。关闭链时,不平衡动力学在各个阶段都会有所不同,链末端之间的纠缠演变也是如此。当第一个站点伴侣与浴室伴侣时,我们发现不平衡动力学仍然可以在早期进化阶段区分各个阶段,因为不平衡动力学仅在相对较高的温度下受到显着影响。系统的特征者的分布可以解释它。链末端的纠缠在所有阶段都迅速腐烂,因为其中一端是直接耦合到浴缸的。但是,如果浴缸耦合到链的中间位置,则链端的纠缠将在定位阶段持续一段明显的时间。我们的研究表明,人们可以利用无序环境作为缓冲液来保护量子相关性。

In this research, we analyze two models using the tensor network algorithm. The quantum correlations of a two-qubit system are first studied in different bosonic reservoirs. Both equilibrium and nonequilibrium scenarios are discussed. Non-Markovian effects can improve the survival time of the quantum correlations significantly and weaken the decoherence effect. Non-Markovian dynamics with existing memory can lead to entanglement rebirth in specific scenarios instead of the eventual entanglement decay or death seen in memoryless Markovian cases. The system reaches a steady state quickest in sub-Ohmic reservoirs and shows the most apparent non-Markovian behavior in super-Ohmic reservoirs. We not only study the impact of the environment on quantum correlations but also how to protect quantum correlations. Starting from a state in which the two ends are maximally entangled, a one-dimensional AA chain model is also studied. We identify distinct phases by monitoring the imbalance dynamics. When the chain is closed, the imbalance dynamics behave differently in various phases, and so does the entanglement evolution between the chain's ends. When the first site couples to a bath, we found the imbalance dynamics can still be an effective indicator to differentiate various phases in an early evolution stage since the imbalance dynamics is only remarkably affected at relatively high temperatures. The distribution of the eigenenergy of the system can account for it. The entanglement of the chain ends decays rapidly in all phases due to one of the ends being coupled to the bath directly. However, the entanglement of the chain ends will persist for a perceptible amount of time in the localization phase if the bath is coupled to the middle site of the chain. Our research shows that one can utilize the disordered environment as a buffer to protect quantum correlations.

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