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Entanglement Dynamics of a Dissipative Two-qubit System Under the Influence of a Global Environment

机译:全球环境影响下耗散双量标系统的纠缠动态

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摘要

In this paper we propose a two-qubit system exposed to a common thermal reservoir as the source of dissipation. Starting from the master equation, specially its dissipator part, we find its explicit solution through which we investigate the time evolution of entanglement between the two qubits via concurrence measure by considering different initial entangled states. Our results show that the system can be found in Markovian and non-Markovian regimes depending on the involved parameters. In the Markovian regime, the amount of entanglement permanently deceases and therefore the two-qubit system is finally found in a separable state. In the other hand, in non-Markovian regime, the two-qubit system exchanges its entanglement with environment in such a way that it can recover its entanglement loss as time passes. In this case, the system undergoes a death of entanglement at some intervals of time, however, then restores its entanglement and gradually reaches to a maximally stable entangled state. Restoring of entanglement is a remarkable outcome of global environment in comparison with its local counterpart. Also, the amount of entanglement can be adjusted by choosing appropriate parameters involved in the proposed model such as thermal excitation number as well as the initial condition of the two-qubit state of system.
机译:在本文中,我们提出了一种暴露于普通热水库的双量标系统作为耗散源。从主方程开始,特别是其散热器部分,我们发现其明确的解决方案,通过考虑不同的初始纠缠状态,我们通过并发测量来调查两种Qubits之间纠缠的时间演变。我们的研究结果表明,该系统可以在马尔可维亚和非马尔可维亚制度中找到,这取决于所涉及的参数。在马尔可维亚政权中,永久性恢复的缠结量,因此最终发现了两个QUBit系统的可分离状态。另一方面,在非马尔可维亚政权中,双奎斯特系统以这种方式交换其纠缠,以便随着时间的推移可以恢复其缠结损失。在这种情况下,系统以某种时间间隔经历缠结的死亡,但是,然后恢复其缠结并逐渐达到最大稳定的缠结状态。与其本地对应物相比,纠缠恢复是全球环境的显着结果。此外,可以通过选择所提出的模型中涉及的适当参数等诸如热激励号码的适当参数以及系统的两个量子位状态的初始条件来调整缠结量。

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