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作 者:王雅坤 曾定方[1] WANG Yakun;ZENG Dingfang(Beijing University of Technology,Theoretical Division,Beijing 100124)
机构地区:[1]北京工业大学物理与光电工程学院,北京100124
出 处:《物理与工程》2024年第4期121-131,共11页Physics and Engineering
基 金:国家自然科学基金NSFC-11875082的支持。
摘 要:引力诱导自发辐射机制将黑洞看作一个多能级多简并量子系统,因此其辐射蒸发过程的中间态是各种不同质量比黑洞辐射产物直积态的叠加。由于被作为经典对象看待的黑洞与辐射产物是对这种叠加态部分指标求迹的结果,所以它们之间的纠缠熵在整个辐射过程中拥有先增后减的特征,符合Page曲线的预期。本文对引力诱导自发辐射的基本概念进行了一个普及性介绍同时计算了一个初始简并度为8的黑洞在这种辐射演化下的熵变曲线,得到了晚期Rabi振荡造成的抬头行为相对第一回合增减变化明显被抑制的结果。Gravity-induced spontaneous radiation(GISR)treats black holes as general quantum systems with multiple levels and high degeneracy.As results,the intermediate state of an evaporating black hole is a superposition of various black hole and radiation product combinations with different mass ratios.Since the classical description of a black hole follows from partially tracing out indices of this superposition,the entanglement entropy between the black hole and its radiation products exhibits the first increasing then decreasing feature,aligning with the prediction of Page curve.This work provides a concise introduction to the concept of GISR,and calculates the entropy variation curve for an initially eight-fold degenerate black hole,demonstrating that the late-time Rabi oscillations are significantly suppressed comparing with its first cycles increasing-decreasing behaviour.
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