论文标题
页面曲线和对称性
Page curve and symmetries
论文作者
论文摘要
由黑洞蒸发的量子过程及其对对称性的影响，我们将带有随机动力学的量子系统视为黑洞的玩具模型。我们计算其对称性分辨的熵并讨论其含义。我们首先考虑保存电荷并计算对称分辨熵的情况。我们得出了页面曲线的对称分辨类似物。然后，我们考虑了对称性明确破坏并且电荷不再保存的情况。它是黑洞蒸发中全球对称性破坏的玩具模型。尽管有简单的框架，但在我们的量子模型中黑洞蒸发的类似过程中，对称性分辨的熵捕获了各种有趣的特征。
Motivated by the quantum process of black hole evaporation and its implications for symmetries, we consider a qubit system with a random dynamics as a toy model of black hole. We compute its symmetry-resolved entropies and discuss its implications. We first consider the case where charges are conserved and compute the symmetry-resolved entropies. We derive a symmetry-resolved analogue of the Page curve. We then consider the case where symmetry is explicitly broken and charges are no longer conserved. It serves as a toy model for global symmetry breaking in black hole evaporation. Despite the simple framework, the symmetry-resolved entropies capture various interesting features during the analogous process of black hole evaporation in our qubit model.
