论文标题
在1+1D Bose-Einstein凝结物模拟黑洞中，鹰粒子与其伴侣之间的相关性
Correlations between a Hawking particle and its partner in a 1+1D Bose-Einstein condensate analog black hole
论文作者
论文摘要
Bose-Einstein冷凝物（BEC）模拟黑洞中密度密度相关函数的傅立叶变换是研究鹰颗粒及其伴侣之间相关性的有用工具。它可以用$ \ langle ^{\ text {out}} \ hat {a} _ {\ text { \ rangle $，其中$^{\ text {out}} \ hat {a} _ {\ text {up}}}}^{\ text {ext}} $是霍金粒子的an灭操作员$^{\ text {out}} \ hat {a} _ {\ text {up}}}^{\ text {int}} $是合作伙伴的相应一个。该基本数量是针对BEC流的三种不同模型计算的。结果表明，在每个模型中，在模式方程中的有效电位的包含带来显着差异。此外，研究了每个模型的黑洞内部的这种有效电位引起的颗粒产生，并被证明是非热的。讨论了与粒子产生相关并存在一些模型中的有趣峰。
The Fourier transform of the density-density correlation function in a Bose-Einstein condensate (BEC) analog black hole is a useful tool to investigate correlations between the Hawking particles and their partners. It can be expressed in terms of $\langle ^{\text{out}}\hat{a}_{\text{up}}^{\text{ext}}\ ^{\text{out}}\hat{a}_{\text{up}}^{\text{int}} \rangle$, where $^{\text{out}}\hat{a}_{\text{up}}^{\text{ext}}$ is the annihilation operator for the Hawking particle and $^{\text{out}}\hat{a}_{\text{up}}^{\text{int}} $ is the corresponding one for the partner. This basic quantity is calculated for three different models for the BEC flow. It is shown that in each model the inclusion of the effective potential in the mode equations makes a significant difference. Furthermore, particle production induced by this effective potential in the interior of the black hole is studied for each model and shown to be nonthermal. An interesting peak that is related to the particle production and is present in some models is discussed.
