黑洞解的自旋壓抑性

Spin Entanglement Suppression of Black Hole Solutions

譚敏君(MAN KUAN TAM)

指導教授 ： 黃宇廷

國立臺灣大學/理學院/物理學研究所/碩士(2021年)

https://doi.org/10.6342/NTU202101564

摘要

一個散射過程通常意味著糾纏的產生:從一個入射純態開始，散射 通常返回一個帶有非消失糾纏熵的出射態。在本論文中，我們研究了 任意自旋粒子散射中的自旋糾纏，我們證明了這與經典的黑洞解相對 應。結合散射矩陣和托馬斯-維格納旋轉因子，我們從相互作用誘導 的2 → 2振幅推導出糾纏熵。在相函極限下，我們發現相對糾纏熵(定 義為黑洞內外狀態的糾纏熵之差)對於黑洞解和黑洞極值解是最小的。

關鍵字

黑洞 ； 自旋

並列摘要

A scattering process generally implies a production of entanglement: start- ing with an incoming pure state, the scattering generally returns an outgoing state with nonvanishing entanglement entropy. In this thesis, we study the spin entanglement in the scattering of arbitrary spinning particles, we show this correspond to the classical black holes solutions. Combing the S-matrix with Thomas-Wigner rotation factors, we derive the entanglement entropy from the interactions induced 2 →2 amplitude. In the Eikonal limit, we find that the relative entanglement entropy, defined here as the difference between the entanglement entropy of the in and out states, is minimal for black hole solutions and extremal black hole solutions.

並列關鍵字

Entanglement ； Black Hole

參考文獻

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