报告题目：Reflected entropy in an evaporating black hole through non-isometric map

报 告  人：陈斌 教授（国家杰青），北京大学/宁波大学

研究方向：弦理论、量子场论、黑洞物理和宇宙学

报告时间：2024年11月8日（星期五）上午10:00

报告地点：量子楼410

报告摘要：

The black hole information paradox has been an important problem in quantum gravity. In the study of evaporating black hole, it has been proposed that the holographic map between the semi-classical effective description in bulk and the fundamental description in boundary cannot be isometric. In this work, we would like to study the reflected entropy in an evaporating black hole model through non-isometric holographic map. We assume that the evaporating is slowly enough that it makes sense to ascribe a slowly varying temperature to the Hawking radiation. We then introduce a two-sided black hole model to canonically purify the semi-classical state. The holographic map to the fundamental description is non-isometric and defined by a Haar random unitary matrix. We show that the entanglement entropy of the radiation in the model matches the result read from the quantum extremal surface formula and agrees with the Page curve. Furthermore, we study the reflected entropies between different regions, including the one between the black holes on different sides, the one between the radiations distributed symmetrically but disconnectedly, and the one between the black hole and the radiation on single side. Our results are consistent with the existing ones based on the effective descriptions.

报告人简介：

陈斌，北京大学/宁波大学教授、博士生导师，国家自然科学基金杰出青年基金获得者。主要研究领域为弦理论、量子场论、黑洞物理和宇宙学。主持了杰出青年基金、重点项目等多项国家自然科学基金研究，取得了具有广泛国际影响的成果。