玻色-爱因斯坦凝聚体的光学色散关系

doi:10.3969/j.issn.1000-5641.201922013

摘要/Abstract

摘要： 最近的研究表明, 玻色-爱因斯坦凝聚体（Bose-Einstein Condensate, BEC）可作为量子电介质材料对光场产生反作用，实现光场-物质波的协同操控. 然而 BEC 的色散性质还没有被研究.为此, 解析得到了 BEC 对大失谐光的一阶色散和二阶色散的计算公式. 数值计算表明, BEC的折射率以及二阶色散系数与红、蓝失谐的性质有关: 在红失谐时, 折射率大于1, 且二阶色散是正常色散; 在蓝失谐时, 折射率小于1, 二阶色散为反常色散. 二阶色散系数会随着失谐量的改变而剧烈变化, 当失谐量在 GHz 数量级时, 表现为强色散介质. 一阶色散和红、蓝失谐的性质关系不大, 随着失谐量的增加, 一阶色散减小, 相应的群速度增加. 因此, 对于超短脉冲光, BEC是一种新型的色散介质.

关键词: 玻色-爱因斯坦凝聚, 色散, 群速度色散

Abstract: Recent studies have shown that Bose-Einstein condensates (BEC) can act like quantum dielectric materials, which react to light fields, and thus co-manipulation of light-matter waves is possible. So far, the dispersion properties of BEC for optical fields with a large degree of detuning have not been investigated. Accordingly, in this paper, we analytically obtain formulas for the first- and second-order dispersion. Our numerical calculation shows that the refractive index and the second-order dispersion coefficient depend on the properties of red or blue detuning. In the case of red detuning, the refractive index is greater than 1 and the second-order dispersion is normal dispersion. In the case of blue detuning, the refractive index is less than 1 and the second-order dispersion is anomalous dispersion. The second-order dispersion coefficient changes dramatically with changes in detuning. When the detuning quantity is on the order of GHz, the BEC can function as a strong dispersion medium. The first-order dispersion is independent with red detuning or blue detuning; as the amount of detuning increases, the first-order dispersion decreases and the corresponding group velocity increases. Our research shows that BEC is a new dispersion medium for manipulating ultrashort pulse light.

Key words: Bose-Einstein condensate, dispersion, group velocity dispersion

中图分类号:

O436.3

廖宇娇, 董光炯. 玻色-爱因斯坦凝聚体的光学色散关系[J]. 华东师范大学学报（自然科学版）, 2020, 2020(2): 76-82.

LIAO Yujiao, DONG Guangjiong. Optical dispersion of Bose-Einstein condensates[J]. Journal of East China Normal University(Natural Science), 2020, 2020(2): 76-82.

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