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J. Opt. 22 (2020) 035605

Optical analogy of gravitational collapse and quantum tunneling of the event horizon

Jingming Chen1 , Run-Qiu Yang2,3 , Shining Zhu1 and Hui Liu1

1 National Laboratory of Solid State Microstructures and School of Physics, Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing, Jiangsu 210093, People’s Republic of China

2 Quantum Universe Center, Korea Institute for Advanced Study, Seoul 130-722, Republic of Korea

3 Center for Joint Quantum Studies, School of Science, Tianjin University, Yaguan Road 135, Jinnan District, 300350 Tianjin, People's Republic of China

   chenjingming24@163.com      liuhui@nju.edu.cn

Abstract

We present an optical method to realize the analogy of gravitational collapse by using the gradient of the refractive index system and the spacetime embedding diagram. We observe an analogy of Hawking radiation after the horizon is formed, for which the corresponding effective temperature is obtained via the transmission spectrum. We find that the effective temperature is proportional to the surface gravity, which is similar to the case in real black holes.

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天津大学理学院 量子交叉研究中心   地址:天津津南区 雅观路135号 天津大学北洋园校区32楼146 
Center for Joint Quantum Studies, School of Science, Tianjin University     Address : Yaguan Road 135, Jinnan District, 300350 Tianjin, P. R. China