非局域非线性介质中孤子的绝热捷径压缩

doi:10.12066/j.issn.1007-2861.2325

上海大学学报(自然科学版) ›› 2022, Vol. 28 ›› Issue (6): 1084-1093.doi: 10.12066/j.issn.1007-2861.2325

非局域非线性介质中孤子的绝热捷径压缩

张晓, 孔茜()

上海大学理学院, 上海 200444

收稿日期:2021-05-09 出版日期:2022-12-30 发布日期:2023-01-31
通讯作者: 孔茜 E-mail:kongqian@shu.edu.cn
作者简介:孔茜(1983-), 女, 讲师, 硕士生导师, 博士,研究方向为非线性光学. E-mail: kongqian@shu.edu.cn
基金资助:
国家自然科学基金资助项目(12075145);上海市科委基金资助项目(2019SHZDZX01-ZX04);上海市科委基金资助项目(18010500400);上海市科委基金资助项目(18ZR1415500)

Soliton compression in nonlocal nonlinear media through shortcut to adiabaticity

ZHANG Xiao, KONG Qian()

College of Sciences, Shanghai University, Shanghai 200444, China

Received:2021-05-09 Online:2022-12-30 Published:2023-01-31
Contact: KONG Qian E-mail:kongqian@shu.edu.cn

摘要/Abstract

摘要：

近年来, 量子绝热捷径(shortcut to adiabaticity, STA)技术被用以加速缓慢的绝热过程. 基于光学类比方法, 采用结合变分法和绝热捷径技术的反控制方法研究非局域非线性介质中孤子的快速压缩, 并与绝热压缩技术进行了对比. 研究结果表明, 非局域对于非线性具有抑制作用, 非局域度越大, 绝热压缩技术需要的传播距离越长, 使得在非局域介质中用绝热方法压缩孤子变得比较困难, 而绝热捷径技术却依然可以在短距离内有效压缩孤子, 优势明显.

关键词: 量子绝热捷径技术, 孤子压缩, 非局域非线性介质

Abstract:

In recent years, shortcuts to adiabaticity (STA) had been proposed to accelerate slow adiabatic processes. In this study, based on the quantum-optical analogy, the rapid compression of solitons in nonlocal nonlinear media was investigated by combining the variational method and inverse engineering of STA technology. A comparison with the results of adiabatic compression showed that nonlocality had an inhibitory effect on nonlinearity. In addition, the greater the degree of nonlocality, the longer was the propagation distance required for adiabatic compression, thus making it more difficult to compress solitons in nonlocal media using adiabatic protocols. However, it was found that the STA protocol could still effectively compress solitons over a very short distance, thus showing the advantages of the STA protocol.

Key words: shortcut to adiabaticity (STA), soliton compression, nonlocal nonlinear media

中图分类号:

O437

张晓, 孔茜. 非局域非线性介质中孤子的绝热捷径压缩[J]. 上海大学学报(自然科学版), 2022, 28(6): 1084-1093.

ZHANG Xiao, KONG Qian. Soliton compression in nonlocal nonlinear media through shortcut to adiabaticity[J]. Journal of Shanghai University（Natural Science Edition）, 2022, 28(6): 1084-1093.

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非局域非线性介质中孤子的绝热捷径压缩

Soliton compression in nonlocal nonlinear media through shortcut to adiabaticity

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