近日，法国巴黎萨克雷大学的Giorgio Ciliberto及其研究团队取得一项新进展。经过不懈努力，他们对模拟黑洞中贝尔不等式违背进行研究。相关研究成果已于2024年6月20日在国际知名学术期刊《物理评论A》上发表。

该研究团队在准一维玻色-爱因斯坦凝聚体流动中，对模拟黑洞在零温和有限温条件下的纠缠及非定域信号进行了定量评估。此模拟系统特有的洛伦兹不变性破坏，为观察三模量子关联提供了新视角。研究人员深入探究了相应的二分和三分贝尔不等式的违背情况。

结果显示，系统的长波长模式实现了最大程度的纠缠，它们实际上实现了格林伯格-霍恩-塞林格态连续变量版本的叠加，并展现出了对部分跟踪的纠缠抵抗性。

附：英文原文

Title: Violation of Bell inequalities in an analog black hole

Author: Giorgio Ciliberto, Stephanie Emig, Nicolas Pavloff, Mathieu Isoard

Issue&Volume: 2024/06/20

Abstract: Signals of entanglement and nonlocality are quantitatively evaluated at zero and finite temperature in an analog black hole realized in the flow of a quasi-one-dimensional Bose-Einstein condensate. The violation of Lorentz invariance inherent to this analog system opens the prospect to observe three-mode quantum correlations and we study the corresponding violation of bipartite and tripartite Bell inequalities. It is shown that the long-wavelength modes of the system are maximally entangled, in the sense that they realize a superposition of continuous variable versions of Greenberger-Horne-Zeilinger states the entanglement of which resists partial tracing.

DOI: 10.1103/PhysRevA.109.063325

Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.109.063325