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arXiv 2301.04854hep-thgr-qc
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AdS Born-Infeld 理论的混合态纠缠

Mixed-state Entanglement for AdS Born-Infeld Theory

Peng Liu, Zhe Yang, Chao Niu, Cheng-Yong Zhang, Jian-Pin Wu

AI总结:

本文研究 AdS Born-Infeld 理论中的混合态纠缠,发现全息纠缠熵、互信息和纠缠楔截面随 BI 因子的不同变化规律,并通过解析分析和类 BI 模型检验揭示了 BI 项在非线性电磁效应与纠缠相互作用中的关键作用。

摘要:

我们研究了 AdS Born-Infeld (BI) 理论的混合态纠缠。我们计算了混合态纠缠,并考察了它与系统参数之间的关系。我们发现全息纠缠熵 (HEE) 和互信息 (MI) 随 BI 因子 $b$ 分别表现出单调递增和单调递减的行为。然而,纠缠楔截面 (EWCS) 关于系统参数表现出非常丰富的现象。当 $b$ 较小时,EWCS 总是随 $b$ 增大,随后随 $b$ 单调减小。这些行为表明,增大 BI 因子——本质上增强背景几何与输运性质之间的耦合——总是能够增强 EWCS。纠缠与输运行为之间的耦合也已在凝聚态理论中得到研究,并且对于构建稳定的量子电路具有重要意义。我们还对上述现象提供了解析理解。此外,我们检验了两个额外的类 BI 模型,发现这些结果具有普适性,表明 BI 项在支配非线性电磁效应与纠缠之间的相互作用中起着关键作用。

英文摘要:

We study the mixed-state entanglement for AdS Born-Infeld (BI) theory. We calculate the mixed-state entanglement and investigate the relationship between it and the system parameters. We find that the holographic entanglement entropy (HEE) and mutual information (MI) exhibit monotonically increasing and decreasing behavior with BI factor $b$. However, the entanglement wedge cross-section (EWCS) exhibits a very rich set of phenomena about system parameters. EWCS always increases with $b$ when $b$ is small and then monotonically decreases with $b$. These behaviors suggest that increasing the BI factor, which is essentially enhancing the coupling between the background geometry and the transport properties can always enhance the EWCS. The coupling between the entanglement and the transport behaviors has also been studied in condensed matter theories and is important to construct a stable quantum circuit. We also provide analytical understanding of the above phenomenon. Furthermore, we have tested two additional BI-like models and find the universality of these results, suggesting the crucial role of the BI term in governing the interplay between nonlinear electromagnetic effects and entanglement.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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