We investigate quantum entanglement in an analog black hole realized in the flow of a Bose-Einstein condensate. The system is described by a three-mode Gaussian state and we construct the corresponding covariance matrix at zero and finite temperature. We study associated bipartite and tripartite entanglement measures and discuss their experimental observation. We identify a simple optical setup equivalent to the analog Bose-Einstein black hole which suggests a different way of determining the Hawking temperature and gray-body factor of the system.

中文翻译：

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玻色-爱因斯坦声学黑洞中的二分和三分纠缠

我们研究了在玻色-爱因斯坦凝聚流中实现的模拟黑洞中的量子纠缠。该系统由三模高斯状态描述，我们在零和有限温度下构建相应的协方差矩阵。我们研究相关的二分和三分纠缠措施并讨论他们的实验观察。我们确定了一种等效于模拟玻色-爱因斯坦黑洞的简单光学设置，这表明了一种确定系统霍金温度和灰体因子的不同方法。