The Page curve plotted by the typical random state approximation is not applicable to a system with conserved quantities, such as the evaporation process of a charged black hole during which the electric charge does not radiate out with a uniform rate macroscopically. In this context the symmetry-resolved entanglement entropy may play a significant role in describing the entanglement structure of such a system. We attempt to impose constraints on microscopic quantum states to match with the macroscopic phenomenon of the charge radiation during black hole evaporation. Specifically, we consider a simple qubit system with conserved spin/charge serving as a toy model for the evaporation of charged black holes. We propose refined rules for selecting a random state with conserved quantities to simulate the distribution of charges during the different stages of evaporation, and obtain refined Page curves that exhibit distinct features in contrast to the original Page curve. We find the refined Page curve may have a different Page time and exhibit asymmetric behavior on both sides of the Page time. Such refined Page curves may provide more realistic description for the entanglement between the charged black hole and radiation during the process of evaporation.
Refined Invariants and Quantum Curves from Supersymmetric Localization
Institut des Hautes Études Scientifiques (IHES)（高等科学研究所）；Fudan University（复旦大学）；Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS)（上海数学与交叉学科研究院）；Institute for Basic Science (IBS)（基础科学研究院）
Typical entanglement in anyon chains: Page curves beyond Lie group symmetries
Max-Planck-Institut für Quantenoptik（马克斯·普朗克量子光学研究所）；Munich Center for Quantum Science and Technology (MCQST)（慕尼黑量子科学与技术卓越集群）；School of Mathematics and Statistics, The University of Melbourne（墨尔本大学数学与统计学院）；School of Physics, The University of Melbourne（墨尔本大学物理学院）；TUM School of Natural Sciences, Technical University of Munich（慕尼黑工业大学自然科学学院）
Generalized Tube Algebras, Symmetry-Resolved Partition Functions, and Twisted Boundary States
School of Natural Sciences, Institute for Advanced Study（高等研究院自然科学学院）；C. N. Yang Institute for Theoretical Physics, Stony Brook University（石溪大学陈省身理论物理研究所）；Simons Center for Geometry and Physics, Stony Brook University（石溪大学西蒙斯几何与物理中心）；Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences（中国科学院大学卡弗里理论科学研究所）
Black Hole Interior and Quantum Error Correction with Dynamical Gravity
Center for Gravitational Physics and Quantum Information (CGPQI), Yukawa Institute for Theoretical Physics (YITP), Kyoto University（京都大学引力物理与量子信息中心（CGPQI），理论物理汤川研究所（YITP））；Department of Physics, Rikkyo University（立教大学物理系）
