We investigate the correlation dynamics of a non-interacting two-qubit system which is embedded in a qutrit environment with a constant magnetic field. Two archetypal states, mainly a Bell state and a coherent state, are considered as the initial state, and their correlation dynamics are studied in the presence of the mentioned environment. It is shown that the concurrence, a measure of entanglement, and discord can be controlled by tuning the number of degrees of freedom the environment, the coupling strength, and the strength of external magnetic field. Furthermore, we analytically evaluate the discord for spin cat-state. Our results imply that decoherence is inevitable and death of entanglement may happen periodically; however, if certain ranges of the parameters are adhered to, the total entanglement death may be avoided.

我们研究了一个非交互的两量子位系统的相关动力学，该系统嵌入在具有恒定磁场的Qutrit环境中。两种原型状态，主要是贝尔状态和相干状态，被视为初始状态，并且在存在上述环境的情况下研究了它们的相关动力学。结果表明，可以通过调整环境的自由度数，耦合强度和外部磁场强度来控制并发，纠缠程度和不协调度。此外，我们通过分析评估自旋猫态的不和谐状态。我们的结果表明，退相干是不可避免的，纠缠的死亡可能会定期发生。但是，如果遵守一定范围的参数，则可以避免总的纠缠死亡。