论文标题
自发对称性破坏的全息纠缠密度
Holographic entanglement density for spontaneous symmetry breaking
论文作者
论文摘要
我们研究了$ u（1）$或翻译对称性被损坏的系统的全息纠缠熵的属性\ textIt {自发}。为此，我们定义了脱衣舞系统的纠缠密度，并检查纠缠熵的第一定律（FELE）和区域定理。我们对逃离和/或定理遵守区域的条件进行了分类，并表明这种分类可能对表征系统有用。我们还发现了逃离和该区域定理的普遍性。在自发的对称性破坏案例中，无论对称的类型如何：$ u（1）$或翻译。对于翻译对称性，当对称性薄弱时，该区域定理总是会违反，与对称性破坏模式（显式或自发）无关。我们还认为，戈德石模式的纠缠熵的$ \ log $贡献可能不会出现在强耦合系统中。
We investigate the properties of the holographic entanglement entropy of the systems in which the $U(1)$ or the translational symmetry is broken \textit{spontaneously}. For this purpose, we define the entanglement density of the strip-subsystems and examine both the first law of entanglement entropy (FLEE) and the area theorem. We classify the conditions that FLEE and/or the area theorem obey and show that such a classification may be useful for characterizing the systems. We also find universalities from both FLEE and the area theorem. In the spontaneous symmetry breaking case, FLEE is always obeyed regardless of the type of symmetry: $U(1)$ or translation. For the translational symmetry, the area theorem is always violated when the symmetry is weakly broken, independent of the symmetry breaking patterns (explicit or spontaneous). We also argue that the $\log$ contribution of the entanglement entropy from the Goldstone mode may not appear in the strongly coupled systems.
