Bronski J C, Carr L D, Deconinck B, Kutz J N
Department of Mathematics, University of Illinois Urbana-Champaign, 61801, USA.
Phys Rev Lett. 2001 Feb 19;86(8):1402-5. doi: 10.1103/PhysRevLett.86.1402.
We present a new family of stationary solutions to the cubic nonlinear Schrödinger 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 dc offset is small enough, both trivial phase and nontrivial phase solutions are shown to be stable. Recent developments allow for experimental investigation of these predictions.
我们给出了具有椭圆函数势的三次非线性薛定谔方程的一族新的定态解。在正弦势的极限情况下，我们的解描述了一种被困在驻波光中的准一维稀薄气体玻色 - 爱因斯坦凝聚体。如果凝聚体变化的高度与其直流偏移的比值足够小，平凡相位解和非平凡相位解都被证明是稳定的。最近的进展使得对这些预测进行实验研究成为可能。
