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arXiv 2008.04507hep-th
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量子关联的有限尺寸效应

Finite size effect on quantum correlations

Chanyong Park, Jung Hun Lee

摘要:

我们用全息方法研究了有限尺寸标度效应对激发和凝聚变形的宏观和微观量子关联的影响。激发(凝聚)增加(降低)了系统的纠缠熵。通过计算连接两个局部算子的测地线长度,我们还研究了局部算子的两点关联函数。相对于纠缠熵的情况,激发(凝聚)减少(增加)的两点函数。这是因为在大纠缠熵的背景下屏蔽效应变强。我们进一步表明,全息重整化导致定性相同的两点函数从测地线长度。

英文摘要:

We holographically study the finite-size scaling effects on macroscopic and microscopic quantum correlations deformed by excitation and condensation. The excitation (condensation) increases (decreases) the entanglement entropy of the system. We also investigate the two-point correlation function of local operators by calculating the geodesic length connecting two local operators. As opposed to the entanglement entropy case, the excitation (condensation) decreases (increases) the two-point function. This is because the screening effect becomes strong in the background with the large entanglement entropy. We further show that the holographic renormalization leads to the qualitatively same two-point function as the one obtained from the geodesic length.

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