Two two-level systems generated by su(2) algebra are initially prepared in a maximum nonsymmetric Bell state and having no mutual interaction. Each su(2)-system spatially interacts with two-mode cavity field in the nondegenerate parametric amplifier type cast through operators governed by su(1, 1) Lie algebra. An analytical description for the time evolution of the final state of the total system with the effect of intrinsic decoherence is found. Therefore, the robustness of the quantum correlations between the two su(2)-system is investigated by means of geometric quantum discord, measurement-induced nonlocality and negativity. We analyze in some detail the influence of initial coherence intensities, detuning and phase decoherence parameters on the steady-state correlation. We find that the steady-state correlations can be generated and enhanced by controlling the parameters of: the initial coherence intensities, the Bargmman index and the detuning. It is shown that the phenomenon of sudden death and re-birth of entanglement, and the sudden changes of the geometric quantum correlation can be controlled by these parameters. We find that the robustness of the quantum correlation can be greatly enhanced by the Bargmman index and the resonance detuning. Negativity is the measure most susceptible to phase decoherence, while geometric quantum discord and measurement-induced nonlocality are the more robust measures.

中文翻译：

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在本征退相干下与 su(1, 1) 系统互不相互作用的两个 su(2) 系统中量子相关的鲁棒性

由 su(2) 代数生成的两个两能级系统最初准备在最大非对称贝尔态并且没有相互交互作用。每个 su(2) 系统通过由 su(1, 1) 李代数控制的算子在空间上与非退化参量放大器类型中的双模腔场相互作用。找到了具有内在退相干效应的整个系统最终状态的时间演化的分析描述。因此，通过几何量子不和谐、测量诱导的非定域性和负性研究了两个su(2)系统之间量子相关性的鲁棒性。我们详细分析了初始相干强度、失谐和相位退相干参数对稳态相关性的影响。我们发现，可以通过控制以下参数来生成和增强稳态相关性：初始相干强度、巴格曼指数和失谐。结果表明，纠缠的猝死和重生现象，以及几何量子相关性的突变，都可以通过这些参数来控制。我们发现，通过 Bargmman 指数和共振失谐可以大大增强量子相关性的鲁棒性。负性是最容易受到相位退相干影响的度量，而几何量子不和谐和测量引起的非局域性是更稳健的度量。这些参数可以控制几何量子相关性的突变。我们发现，通过 Bargmman 指数和共振失谐可以大大增强量子相关性的鲁棒性。负性是最容易受到相位退相干影响的度量，而几何量子不和谐和测量引起的非局域性是更稳健的度量。这些参数可以控制几何量子相关性的突变。我们发现，通过 Bargmman 指数和共振失谐可以大大增强量子相关性的鲁棒性。负性是最容易受到相位退相干影响的度量，而几何量子不和谐和测量引起的非局域性是更稳健的度量。