玻色-爱因斯坦凝聚体的光学色散关系

廖宇娇; 董光炯

doi:10.3969/j.issn.1000-5641.201922013

玻色-爱因斯坦凝聚体的光学色散关系

doi: 10.3969/j.issn.1000-5641.201922013

廖宇娇,
董光炯^,

华东师范大学精密光谱科学与技术国家重点实验室, 上海　200062

基金项目: 国家自然科学基金（11574085, 91536218, 11834003）; 上海市教委科研创新计划（2019-01-07-00-05-E00079）

详细信息

通讯作者:
董光炯, 男, 教授, 博士生导师, 研究方向为量子光学. E-mail：gjdong@phy.ecnu.edu.cn

中图分类号: O436.3
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- 文章访问数: 202
- HTML全文浏览量: 192
- PDF下载量: 4
- 被引次数: 0
出版历程
- 收稿日期: 2019-05-06
- 刊出日期: 2020-03-01

Optical dispersion of Bose-Einstein condensates

LIAO Yujiao,
DONG Guangjiong^,

State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai　200062, China

摘要

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.
- 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.
- Bose-Einstein condensate /
- dispersion /
- group velocity dispersion

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图 1 雪茄型 BEC

Fig. 1 Cigar-shaped Bose-Einstein condensate

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图 2 折射率的空间分布: (a)Δ = –2 GHz; (b)Δ = 2 GHz.

Fig. 2 The spatial distribution of refractive index: (a)Δ = –2 GHz; (b)Δ = 2 GHz

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图 3 折射率的空间分布: (a)Δ = –2 THz; (b) Δ = 2 THz

Fig. 3 The spatial distribution of refractive index: (a)Δ = –2 THz; (b)Δ = 2 THz

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图 4 β₁的空间分布: (a)Δ = –2 GHz; (b)Δ = 2 GHz

Fig. 4 The spatial distribution of β₁: (a)Δ = –2 GHz; (b)Δ = 2 GHz

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图 5 β₁的空间分布: (a)Δ = –2 THz; (b)Δ = 2 THz

Fig. 5 The spatial distribution of β₁: (a)Δ = –2 THz; (b)Δ = 2 THz

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图 6 β₂的空间分布: (a)Δ = –2 GHz; (b)Δ = 2 GHz

Fig. 6 The spatial distribution of β₂: (a)Δ = –2 GHz; (b)Δ = 2 GHz

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图 7 β₂的空间分布: (a)Δ=–2 THz; (b)Δ=2 THz

Fig. 7 The spatial distribution of β₂: (a)Δ=–2 THz; (b)Δ=2 THz

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