Verification of the area law of mutual information in a quantum field simulator
Verification of the area law of mutual information in a quantum field simulator
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DOI：
10.1038/s41567-023-02027-1
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发表时间：
2022-06
期刊：
影响因子：
19.6
通讯作者：
Mohammadamin Tajik;I. Kukuljan;S. Sotiriadis;B. Rauer;T. Schweigler;Federica Cataldini;João Sabino;F. Møller;Philipp Schuttelkopf;S. Ji;Dries Sels;E. Demler;J. Schmiedmayer
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文献类型：
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作者：
Mohammadamin Tajik;I. Kukuljan;S. Sotiriadis;B. Rauer;T. Schweigler;Federica Cataldini;João Sabino;F. Møller;Philipp Schuttelkopf;S. Ji;Dries Sels;E. Demler;J. Schmiedmayer
对熵和互信息的标度律的理论理解导致了物质、量子场论和引力的相关态研究的实质性进展。在量子多体系统中实验测量冯诺依曼熵是具有挑战性的，因为它需要完整的密度矩阵知识，这通常需要实施完整的状态重建技术。在这里，我们测量的冯诺依曼熵的空间扩展子系统中的超冷原子模拟器的一维量子场论。实验验证了带隙量子多体系统平衡态的一个基本性质--量子互信息面积定律。我们还研究了温度和子系统之间的分离的互信息的依赖关系。我们的工作代表了一个步骤，采用超冷原子模拟器探测量子场论中的纠缠。
The theoretical understanding of scaling laws of entropies and mutual information has led to substantial advances in the study of correlated states of matter, quantum field theory and gravity. Experimentally measuring von Neumann entropy in quantum many-body systems is challenging, as it requires complete knowledge of the density matrix, which normally requires the implementation of full state reconstruction techniques. Here we measure the von Neumann entropy of spatially extended subsystems in an ultracold 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 on the separation between the subsystems. Our work represents a step towards employing ultracold atom simulators to probe entanglement in quantum field theories.