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arXiv 1109.3571hep-thcond-mat.stat-mechquant-ph
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全息术中两点函数的演化

Evolution of Two-Point Functions from Holography

Joao Aparicio, Esperanza Lopez

摘要:

我们考虑了二维CFT中的热化过程,该过程用空尘薄壳层的引力坍缩进行全息描述。该模型表示CFT真空的突然扰动,其将均匀的能量密度传递到系统。我们研究了两点函数在类空分离点(t1,l)和(t2,0)的演化,并再现了首次从临界系统量子猝灭分析中得出的一般模式。这些设置的一个重要特征是,由初始微扰产生的激发呈现出非平凡的量子关联。因此,对于任何ti<无穷大,平衡仅在其大小随着光阵面而增长的有限区域上有效。较大区域上的行为在很大程度上取决于初始状态,对于我们考虑的淬火和全息模型具有相关的差异。然而,在这两种情况下,对于后期时间,对两点函数的尺度l的依赖性通过有效距离l-t1-t2进入。我们解释发病的这种行为作为一个平衡的时间在这些二维模型中的占领数量。

英文摘要:

We consider a thermalization process in a 2-dimensional CFT that has a holographic description in terms of the gravitational collapse of a thin shell of null dust. This model represents a sudden perturbation of the CFT vacuum that communicates a uniform energy density to the system. We study the evolution of two-point functions at spacelike separated points (t1,l) and (t2,0), and reproduce the generic pattern first derived from the analysis of quantum quenches to critical systems. A crucial characteristic of these setups is that the excitations generated by the initial perturbation presents non-trivial quantum correlations. As a consequence, for any ti<infinity equilibration is only effective on finite regions whose size grows as a lightfront. The behavior on larger regions is greatly determined by the initial state, which for the quenches we consider and the holographic model has relevant differences. However in both cases for late times the dependence on the scale l of the two-point functions enters through the effective distance l-t1-t2. We interpret the onset of this behavior as an equilibration time for occupation numbers in these 2-dimensional models.

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