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开弦几何的混合态纠缠度量

Mixed state entanglement measures for open string geometry

Souvik Paul, Anirban Roy Chowdhury, Sunandan Gangopadhyay

arXiv 2609.13137首次发表:更新:

发表机构

S.N. Bose National Centre for Basic Sciences(S.N. 玻色基础科学国家中心)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文在规范/引力框架下,通过探针味膜引入开弦度量,研究其混合态信息论量(互信息、纠缠楔截面、纠缠负性),并测量背景电场导致的变化。

AI 中文摘要

在规范/引力框架中,味自由度通过将探针味$D$膜插入超引力背景而引入规范理论侧。这些味膜上的标量、矢量或旋量涨落既不感知背景超引力度规,也不感知味膜的世界体积诱导度规。实际上,它们遵循一种称为开弦度量(OSM)的有效度规。通过适当选择世界体积规范场,可以在这些OSM中诱导出视界结构。研究这类几何中的全息信息论量等价于研究规范理论侧味扇区中的信息论量。在本文中,我们研究了开弦几何中的各种信息论度量,如互信息、纠缠楔截面和纠缠负性。所有计算均通过考虑三维和四维OSM的条状平行边界子系统进行。我们还测量了由于背景电场的应用,这些混合态信息论量相对于纯AdS几何中相应量的变化。

英文摘要

In the gauge/gravity framework flavor degrees of freedom are introduced to the gauge theory side through the insertion of probe flavor $D$ branes in the supergravity background. Scalar, vector or spinor fluctuations on theses flavor branes perceive neither the background supergravity metric nor the worldvolume-induced metric of the flavor branes. Indeed, they follow an effective metric called the open string metric (OSM). Through a proper choice of worldvolume gauge fields, one can induce a horizon structure in these OSMs. Studying holographic information-theoretic quantities in these kinds of geometries is equivalent to studying information-theoretic quantities in the flavor sector on the gauge theory side. In this article, we have studied various information-theoretic measures like mutual information, entanglement wedge cross-section and entanglement negativity for an open string geometry. All the calculations are done by considering strip-like parallel boundary subsystems for three- and four-dimensional OSMs. We have also measured the change in these mixed-state information-theoretic quantities from the relevant quantities in the pure AdS geometry due to the application of a background electric field.

Comments39 pages Latex, 12 Figures, Comments are welcome

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