论文标题
热密度矩阵分解页面曲线
Thermal density matrix breaks down the Page curve
论文作者
论文摘要
在本文中，我们研究了纠缠岛和永恒的四维Schwarzschild黑洞中的页面曲线，这些黑洞被有限的温度共形物质包围。根据有限温度保形物质，我们的意思是由热密度矩阵描述的物质，而不是通常在Fock真空上方考虑的物质。我们在不同的温度下将物质和黑洞进行处理，并使用S波近似计算这种设置的纠缠熵。结果，我们获得了岛屿处方的后期，导致热真空中保形物质纠缠熵的指数生长。
In this paper, we study entanglement islands and the Page curve in the eternal four-dimensional Schwarzschild black hole surrounded by finite temperature conformal matter. By finite temperature conformal matter we mean the matter described by the thermal density matrix, rather than the usually considered matter above the Fock vacuum. We take the matter and the black hole at different temperatures and calculate the entanglement entropy for such a setup using the s-wave approximation. As a result, we obtain that at late times the island prescription leads to the exponential growth of the entanglement entropy of conformal matter in thermal vacuum.
