arXiv 2006.100892020-06hep-th

用固定面积态探测全息纠缠熵的相变

Probing phase transitions of holographic entanglement entropy with fixed area states

Donald Marolf, Shannon Wang, Zhencheng Wang

备注：: 47 pages, 10 figures; v2: more on 'diagonal approximation', typos corrected and figures updated
DOI：: 10.1007/JHEP12(2020)084

摘要：

最近的研究结果表明，全息纠缠熵的新的修正应该出现在相关的Ryu-Takayanagi（RT）表面的相变附近。我们研究这样的修正分解成固定面积的状态和programming，一定的“对角线近似”将举行的散装状态。在体牛顿常数$G$方面，这在这种跃迁附近产生阶数$O(G^{-1/2})$的校正，其特别地大于来自体量子场的纠缠的一般校正。然而，在远离过渡的情况下，校正被指数地抑制。净效应是使纠缠成为所有参数的平滑函数，将RT“相变”转变为已经在该分析水平上的交叉。我们说明了这种效果与明确的计算（再次假设我们的对角线近似）的边界区域由一对断开的间隔边界上的AdS $_3$真空和一个单一的间隔边界上的BTZ黑洞。在一个自然的大体积极限，我们的对角线近似显然持有，这第二个例子验证了我们的结果同意一般的预测Murthy和Srednicki在混乱的多体系统的背景下。作为对我们的对角近似的进一步检验，我们证明了它也再现了Penington等人对类似的量子RT跃迁发现的$O(G^{-1/2})$校正。我们的显式计算还说明了截止依赖的RT-领域的波动。

英文摘要：

Recent results suggest that new corrections to holographic entanglement entropy should arise near phase transitions of the associated Ryu-Takayanagi (RT) surface. We study such corrections by decomposing the bulk state into fixed-area states and conjecturing that a certain `diagonal approximation' will hold. In terms of the bulk Newton constant $G$, this yields a correction of order $O(G^{-1/2})$ near such transitions, which is in particular larger than generic corrections from the entanglement of bulk quantum fields. However, the correction becomes exponentially suppressed away from the transition. The net effect is to make the entanglement a smooth function of all parameters, turning the RT `phase transition' into a crossover already at this level of analysis. We illustrate this effect with explicit calculations (again assuming our diagonal approximation) for boundary regions given by a pair of disconnected intervals on the boundary of the AdS$_3$ vacuum and for a single interval on the boundary of the BTZ black hole. In a natural large-volume limit where our diagonal approximation clearly holds, this second example verifies that our results agree with general predictions made by Murthy and Srednicki in the context of chaotic many-body systems. As a further check on our conjectured diagonal approximation, we show that it also reproduces the $O(G^{-1/2})$ correction found Penington et al for an analogous quantum RT transition. Our explicit computations also illustrate the cutoff-dependence of fluctuations in RT-areas.

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。

摘要：

英文摘要：

相关论文