We analyze the stabilizability of entangled two-mode Gaussian states in three benchmark dissipative models: local damping, dissipators engineered to preserve two-mode squeezed states, and cascaded oscillators. In the first two models, we determine principal upper bounds on the stabilizable entanglement, while in the last model, arbitrary amounts of entanglement can be stabilized. All three models exhibit a tradeoff between state entanglement and purity in the entanglement maximizing limit. Our results are derived from the Hamiltonian-independent stabilizability conditions for Gaussian systems. Here, we sharpen these conditions with respect to their applicability.

中文翻译：

---

两模高斯态中的稳定纠缠

我们在三种基准耗散模型中分析了纠缠双模高斯态的稳定性：局部阻尼，设计为保留双模压缩态的耗散器和级联振荡器。在前两个模型中，我们确定可稳定纠缠的主要上限，而在最后一个模型中，可以稳定任意数量的纠缠。这三个模型都在最大纠缠极限中表现出状态纠缠与纯度之间的权衡。我们的结果来自于高斯系统的独立于哈密顿量的稳定性条件。在这里，我们针对这些条件的适用性进行了优化。