论文标题

混合状态信息理论措施在增强的黑褐色

Mixed state information theoretic measures in boosted black brane

论文作者

Chowdhury, Anirban Roy, Saha, Ashis, Gangopadhyay, Sunandan

论文摘要

在本文中,我们研究了增强的黑色brane几何形状的各种混合状态信息理论量。我们考虑了两个设置,即,一个平行于升压方向的带状子系统。我们计算的数量是纠缠楔横截面,相互信息,纠缠负性和纯化复杂性。在随后的分析中,我们已将薄条近似值结合在一起,并在相关信息的理论数量中计算出领先的顺序变化(超过纯ADS),这是由于增强参数而导致的。我们还显示了这些量的这些数量的关系与边界场理论的能量和压力相关。然后,我们继续计算这些数量的不对称比率,并观察到它们与子系统大小无关。最后,我们继续研究增强的黑陆桥几何形状的有趣限制,即所谓的ADS波几何形状。我们再次计算此几何形状的所有混合状态信息理论量。

In this paper, we study various mixed state information theoretic quantities for a boosted black brane geometry. We have considered two setups, namely, a strip-like subsystem taken parallel and perpendicular to the direction of the boost. The quantities we calculate are the entanglement wedge cross-section, mutual information, entanglement negativity, and purification complexity. In the subsequent analysis, we have incorporated the thin-strip approximation and computed the leading order change (over pure AdS) in the concerned information theoretic quantities due to the boost parameter. We also show the relation of these quantities computed holographically to the energy and pressure of the boundary field theory. We then proceed to calculate the asymmetry ratios of these quantities, and observe that they are independent of the subsystem size. Finally, we proceed to study an interesting limit of the boosted black brane geometry, which is the so called AdS wave geometry. We once again compute all the mixed state information theoretic quantities for this geometry.

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