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Bubble quenches in the AdS/BCFT model
Physical Review D ( IF 5 ) Pub Date : 2021-02-26 , DOI: 10.1103/physrevd.103.046022
Arthur G. Cavalcanti , Dmitry Melnikov

In this paper we construct time-dependent solutions of three-dimensional gravity in anti–de Sitter space dual to systems with boundaries (BCFTs), following the AdS/BCFT prescription. Such solutions can be discussed in the context of the dynamics of first-order phase transitions, or more generally, in the description of quantum quenches. As an example, we apply the holographic model to calculate the dynamics of the entanglement entropy of a local quench corresponding to a nucleation of a Euclidean bubble. As in the known 1+1 conformal field theory examples of local cut and glue quenches, the holographic entanglement entropy grows logarithmically with time with the correct universal coefficient. However, in the bubble quench, the behavior is different at late times. The AdS/BCFT model exhibits the light-cone spreading of correlations and saturation at late times. We also find an analytical formula for the entropy at finite temperature. In the latter case, the initial logarithmic growth is followed by the linear law at intermediate times.

中文翻译:

AdS / BCFT模型中的气泡淬灭

在本文中,我们遵循AdS / BCFT的规定,构造了反de Sitter空间中具有边界的对偶系统(BCFT)的三维重力的时变解决方案。可以在一阶相变动力学的背景下或更一般地在量子猝灭的描述中讨论这样的解决方案。例如,我们应用全息模型来计算与欧氏泡沫成核相对应的局部猝灭的纠缠熵的动力学。众所周知1个+1个在局部剪切和胶淬火的共形场理论实例中,全息纠缠熵随时间以对数增长,且具有正确的通用系数。但是,在气泡骤冷中,后期的行为是不同的。AdS / BCFT模型在后期显示出相关性和饱和度的视锥传播。我们还找到了有限温度下熵的解析公式。在后一种情况下,初始对数增长之后是中间时间的线性定律。
更新日期:2021-02-26
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