激子极化激元凝聚体中的二维亮孤子

Two-dimensional bright soliton in exciton-polariton condensate

在非保守非线性系统中,产生孤子的基本物理机理是系统的动能与非线性、以及增益与耗散达到双动力学平衡.如何在该系统中产生稳定的自由高维孤子是目前孤子理论具有挑战性的前沿课题.本文提出了一种在激子极化激元玻色-爱因斯坦凝聚体中实现二维自由亮孤子理论方案,即通过时间周期调制相互作用以及增益与耗散双平衡的物理机理产生稳定的二维自由空间亮孤子.为此,首先通过拉格朗日量变分法得到了二维亮孤子参数的动力学方程,得到其动力学稳定的参数空间.其次,数值模拟广义增益耗散Gross-Pitaveskii方程的含时演化,验证了二维亮孤子的稳定性.最后,加入高斯噪声模拟真实实验环境,发现在实验可观测的时间范围内,二维亮孤子是稳定的.本文的实验方案打开了在非保守系统中研究高维自由空间亮孤子的大门.

In non-conservative nonlinear systems,the basic physical mechanics of soliton generation is that the kinetic energy and nonlinear terms of the system,as well as the gain and dissipation terms reach a double dynamic balance.How to generate stable free high-dimensional solitons in such a system is currently a challenging topic in soliton theory.In this article,we propose a theoretical scheme for realizing two-dimensional free bright solitons in exciton-polariton Bose-Einstein condensates,which proposes a physical mechanism for generating stable two-dimensional free space bright solitons through time periodic modulation interactions and a dual balance between gain and dissipation.In this end,firstly,we obtain the dynamic equations of two-dimensional bright soliton parameters through the Lagrange variational method,and obtain its dynamically stable parameter space.Secondly,the evolution of the generalized dissipative Gross-Pitaveskii equation is numerically simulated to verify the stability of two-dimensional bright solitons.Finally,we add Gaussian noise to simulate a real experimental environment and find that two-dimensional bright solitons are also stable within the observable time range of the experiment.Our experimental scheme opens the door to the study of bright solitons in high-dimensional free space in non-conservative systems.