School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212003, China.
Key Laboratory for Quantum Optics, Shanghai Institute of Optics and Fine Mechanics, The Chinese Academy of Sciences, Shanghai 201800, China.
Sci Rep. 2016 Dec 6;6:38512. doi: 10.1038/srep38512.
We study the sonic horizon phenomena of the oscillating Bose-Einstein condensates in isotropic harmonic potential. Based on the Gross-Pitaevskii equation model and variational method, we derive the original analytical formula for the criteria and lifetime of the formation of the sonic horizon, demonstrating pictorially the interaction parameter dependence for the occur- rence of the sonic horizon and damping effect of the system distribution width. Our analytical results corroborate quantitatively the particular features of the sonic horizon reported in previous numerical study.
我们研究了各向同性简谐势中玻色-爱因斯坦凝聚体的声子 horizon 现象。基于 Gross-Pitaevskii 方程模型和变分法，我们推导出了声子 horizon 形成的判据和寿命的原始解析公式，形象地展示了系统分布宽度对声子 horizon 出现的相互作用参数依赖性和阻尼效应。我们的分析结果定量地证实了先前数值研究中报道的声子 horizon 的特殊性质。
