arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 0704.3926quant-ph
收藏

玻色-爱因斯坦凝聚体一维stationary states的稳定性

Stabilities of one-dimensional stationary states of Bose-Einstein condensates

Wenhua Hai, Guishu Chong, Jianwen Song

摘要:

研究了由固定$N$原子组成的准一维玻色-爱因斯坦凝聚体在与时间无关的外部势作用下的动力学稳定性。对于零流密度定态,构造了扰动时间演化方程的通解,并建立了关于初始条件和系统参数的稳定性判据。以格点势为例,给出了参数空间上的稳定区和不稳定区,并提出了一种选择实验参数和调整初始条件以抑制不稳定性的方法。

英文摘要:

We explore the dynamical stabilities of a quasi-one dimensional (1D) Bose-Einstein condensate (BEC) consisting of fixed $N$ atoms with time-independent external potential. For the stationary states with zero flow density the general solution of the perturbed time evolution equation is constructed, and the stability criterions concerning the initial conditions and system parameters are established. Taking the lattice potential case as an example, the stability and instability regions on the parameter space are found. The results suggest a method for selecting experimental parameters and adjusting initial conditions to suppress the instabilities.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑