论文标题

有限尺寸对量子相关性的影响

Finite size effect on quantum correlations

论文作者

Park, Chanyong, Lee, Jung Hun

论文摘要

我们全息研究有限大小的缩放效果对因激发和凝结而变形的宏观和微观量子相关性。激发(冷凝)增加(减少)系统的纠缠熵。我们还通过计算连接两个本地运算符的测量长度来研究本地运算符的两点相关函数。与纠缠熵情况相反,激发(凝结)降低(增加)两点函数。这是因为筛选效果在背景中具有强大的纠缠熵。我们进一步表明,全息重归其化导致质量上的两点函数与从测量长度获得的函数相同。

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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