论文标题
实验验证量子场模拟器中相互信息的区域定律
Experimental verification of the area law of mutual information in a quantum field simulator
论文作者
论文摘要
对熵的缩放和相互信息的理论理解，导致了物质，量子场理论和重力的相关状态的研究取得了重大进展。测量量子多体系统中的von Neumann熵是具有挑战性的，因为它需要完全了解密度矩阵。在这项工作中，我们测量了一维量子场理论的超冷原子模拟器中空间扩展子系统的von Neumann熵。我们通过实验验证了量子互信息的面积定律，验证了量子多体系统的平衡状态的基本特性之一。我们还研究了相互信息对温度和子系统之间的分离的依赖性。我们的工作是使用超冷原子模拟器探测量子场理论中的纠缠的关键步骤。
Theoretical understanding of the scaling of entropies and the mutual information has led to significant advances in the research of correlated states of matter, quantum field theory, and gravity. Measuring von Neumann entropy in quantum many-body systems is challenging as it requires complete knowledge of the density matrix. In this work, we measure the von Neumann entropy of spatially extended subsystems in an ultra-cold atom simulator of one-dimensional quantum field theories. We experimentally verify one of the fundamental properties of equilibrium states of gapped quantum many-body systems, the area law of quantum mutual information. We also study the dependence of mutual information on temperature and the separation between the subsystems. Our work is a crucial step toward employing ultra-cold atom simulators to probe entanglement in quantum field theories.
