论文标题
混合状态纠缠措施作为监禁
Mixed state entanglement measures as probe for confinement
论文作者
论文摘要
我们研究了各种大型$ N $自上而下以及自下而上的限制模型的混合状态纠缠措施的全息方面。对于自上而下的型号，我们考虑包装$ d3 $和$ d4 $ branes重力解决方案，而对于自下而上的限制模型，考虑了爱因斯坦 - 马克斯韦尔 - 迪拉特顿重力解决方案。我们研究纠缠熵，相互信息，纠缠楔形横截面和对脱衣子系统的纠缠负性，并在所有限制理论中找到这些纠缠措施的模型独立特征。纠缠负性和熵在相同的临界条长度$ l_ {crit} $中表现出相位过渡，这些措施的顺序从$ \ MATHCAL {O}（n^2）$变为$ \ Mathcal {o}（o}（o}（n^0）$）。纠缠楔横截面类似地显示了以$ l_ {crit} $更改订单，并且每次发生不同的纠缠表面之间的相变时都会表现出不连续的行为。我们进一步测试了涉及相互信息和纠缠楔横截面的不平等，并发现后者始终超过了前者的一半。
We study holographic aspects of mixed state entanglement measures in various large $N$ top-down as well as bottom-up confining models. For the top-down models, we consider wrapped $D3$ and $D4$ branes gravity solutions whereas, for the bottom-up confining model, the Einstein-Maxwell-dilaton gravity solution is considered. We study entanglement entropy, mutual information, entanglement wedge cross-section and entanglement negativity for the strip subsystems and find model independent features of these entanglement measures in all confining theories. The entanglement negativity and entropy exhibit a phase transition at the same critical strip length $L_{crit}$, at which the order of these measures changes from $\mathcal{O}(N^2)$ to $\mathcal{O}(N^0)$. The entanglement wedge cross-section similarly shows an order change at $L_{crit}$ and exhibits a discontinuous behaviour each time a phase transition between different entangling surfaces occur. We further test the inequality involving mutual information and entanglement wedge cross-section, and find that the latter always exceeds half of the former.
