论文标题
一般2D永恒黑洞的有效反射熵和纠缠消极
Effective reflected entropy and entanglement negativity for general 2D eternal black holes
论文作者
论文摘要
反射的熵和纠缠负性均提供了混合状态子系统之间纠缠的有效度量。对于一般的2d永恒黑洞,加上CFT物质,大$ C $限制,我们执行了复制式计算,发现有效的Renyi反映了熵和有效的纠缠负效应,可以通过修改后的反应循环反应的结合来表达,以$ \ \ \ \ \ \ \ fulm {ads} _3 $ {_3 $ {_3 $ fulk。然后,我们开发了一种全息方案,以计算一般2d永恒黑洞的有效反射熵和纠缠负性,并以$ c $限制的cft物质结合。使用该方案,我们检查岛公式的一致性条件,以确保纠缠负性和反射熵。我们发现,从$ \ mathrm {ads} _3 _3 $ bumb中,修改后的循环反应的宇宙晶体的组合来自两个纠缠否定性的提议,完全彼此相匹配。最后,我们研究了反射熵不平等的饱和度。
Both reflected entropy and entanglement negativity provide valid measures of entanglement between subsystems of a mixed state. For general 2D eternal black holes coupled with CFT matters in large $c$ limit, we perform the replica-trick computation and find that both effective Renyi reflected entropy and effective entanglement negativity can be expressed in terms of the combination of modified backreacting cosmic branes in $\mathrm{AdS}_3$ bulk. We then develop a holographic scheme to calculate effective reflected entropy and entanglement negativity for general 2D eternal black holes coupled with CFT matters in large $c$ limit. Using the scheme, we check the consistency condition of the island formulae for entanglement negativity and reflected entropy. We find that the combinations of modified backreacting cosmic branes in $\mathrm{AdS}_3$ bulk from the two island proposals of entanglement negativity exactly match with each other. Finally, we study the saturation of the reflected entropy inequality.