4.2 Article

Entanglement of local operators and the butterfly effect

期刊

PHYSICAL REVIEW RESEARCH
卷 3, 期 3, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevResearch.3.033182

关键词

-

向作者/读者索取更多资源

This study explores the robustness of quantum and classical information to perturbations implemented by local operator insertions, by computing multipartite entanglement measures in the Hilbert space of local operators. The research reveals the butterfly effect in quantum many-body systems and investigates membrane theory in Haar random unitary circuits to study the phenomenon of information delocalization caused by local operator insertions. Identical behavior is found in conformal field theories with holographic duals, while a limited amount of information is delocalized in free fermionic systems and random Clifford circuits.
We study the robustness of quantum and classical information to perturbations implemented by local operator insertions. We do this by computing multipartite entanglement measures in the Hilbert space of local operators in the Heisenberg picture. The sensitivity to initial conditions that we explore is an illuminating manifestation of the butterfly effect in quantum many-body systems. We present a membrane theory in Haar random unitary circuits to compute the mutual information, logarithmic negativity, and reflected entropy in the local operator state by mapping to a classical statistical mechanics problem and find that any local operator insertion delocalizes information as fast as is allowed by causality after taking the large local Hilbert space dimension limit. Identical behavior is found for conformal field theories admitting holographic duals where the bulk geometry is described by the eternal black hole with a local object situated at the horizon. In contrast to these maximal scramblers, only an O(1) amount of information is found to be delocalized by local operators in free fermionic systems and random Clifford circuits.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.2
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

暂无数据
暂无数据