Dynamical stability of gap solitons in quasi-1D Bose-Einstein condensate loaded in a Jacobian elliptic sine potential
Dynamical stability of gap solitons in quasi-1D Bose-Einstein condensate loaded in a Jacobian elliptic sine potential
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雅可比椭圆正弦势中准一维玻色-爱因斯坦凝聚体中间隙孤子的动态稳定性
DOI：
10.1016/j.physa.2019.121344
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Shi Yuren
中科院分区：
文献类型：
--
作者：
Tang Na;Yang Xueying;Feng Wenxing;Song Lin;Li Xiaolin;Xi Zhonghong;Wang Deng Shan;Shi Yuren
对雅可比椭圆正弦势中加载的准一维玻色-爱因斯坦凝聚体（BEC）中间隙孤子的动态稳定性特性进行了数值研究。采用 Gross-Pitaevskii 方程（GPE）来描述平均场近似下此类系统的动力学行为。首先，我们通过线性化 GPE 提出了带隙结构。其次，利用牛顿共轭梯度（NCG）方法获得带隙孤子。再次，利用线性稳定性分析和非线性动力学演化方法研究了NCG方法给出的带隙孤子的动力学稳定性特性。研究发现，在这种非线性系统中，既存在稳定带隙孤子，也存在结构丰富的不稳定带隙孤子。外势模对带隙孤子的不稳定性有显着影响。
The dynamical stability properties of gap solitons in a quasi-one-dimensional Bose–Einstein Condensate (BEC) loaded in a Jacobian elliptic sine potential are investigated numerically. The Gross–Pitaevskii equation (GPE) is adopted to describe the dynamical behaviors for such a system under the mean-field approximation. Firstly, we presented the band-gap structures via linearizing the GPE. Secondly, the gap solitons are gotten by the Newton-Conjugate-Gradient (NCG) method. Thirdly, the linear stability analysis and nonlinear dynamical evolution method are used to investigate the dynamical stability properties of gap solitons given by the NCG method. It is found that there exist both stable gap solitons and unstable gap solitons with rich structures in such a nonlinear system. The modulus of external potential has distinctly influence on the instability property of the gap solitons.