Bose-Einstein condensates in standing waves: The cubic nonlinear Schrodinger equation with a periodic potential
Bose-Einstein condensates in standing waves: The cubic nonlinear Schrodinger equation with a periodic potential
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DOI：
10.1103/physrevlett.86.1402
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发表时间：
2001-02-19
影响因子：
8.6
通讯作者：
Kutz, JN
中科院分区：
文献类型：
--
作者：
Bronski, JC;Carr, LD;Kutz, JN
给出了具有椭圆函数势的三次非线性薛定谔方程的一类新的平稳解。在正弦势的极限下，我们的解模拟了被困在驻波中的准一维稀释气体玻色-爱因斯坦凝聚体。如果凝析液的变化高度与其偏移量之比足够小，则平凡相溶液和非平凡相溶液都是稳定的。最近的发展允许对这些预测进行实验研究。
We present a new family of stationary solutions to the cubic nonlinear Schrodinger equation with an elliptic function potential. In the limit of a sinusoidal potential our solutions model a quasi-one-dimensional dilute gas Bose-Einstein condensate trapped in a standing light wave. Provided that the ratio of the height of the variations of the condensate to its de offset is, small enough, both trivial phase and nontrivial phase solutions are shown to he stable. Recent developments allow for experimental investigation of these predictions.