The entanglement dynamics in a bipartite system consisting of a qubit and a harmonic oscillator interacting only through their coupling with the same bath is studied. The considered model assumes that the qubit is coupled to the bath via the Jaynes-Cummings interaction, whilst the position of the oscillator is coupled to the position of the bath via a dipole interaction. We give a microscopic derivation of the Gorini–Kossakowski–Sudarshan–Lindblad equation for the considered model. Based on the Kossakowski matrix, we show that non-classical correlations including entanglement can be generated by the considered dynamics. We then analytically identify specific initial states for which entanglement is generated. This result is also supported by our numerical simulations.

中文翻译：

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通过耗散浴相互作用的量子比特振荡器系统中的量子相关动力学

研究了由量子比特和谐振子组成的二分系统中的纠缠动力学，仅通过它们与同一浴的耦合相互作用。所考虑的模型假设量子比特通过 Jaynes-Cummings 相互作用耦合到浴槽，而振荡器的位置通过偶极相互作用耦合到浴槽的位置。我们给出了所考虑模型的 Gorini-Kossakowski-Sudarshan-Lindblad 方程的微观推导。基于 Kossakowski 矩阵，我们证明了包括纠缠在内的非经典相关性可以通过所考虑的动力学产生。然后，我们分析识别产生纠缠的特定初始状态。我们的数值模拟也支持这一结果。