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

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.

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.