标题： 势垒上方冷原子通过共振激光光的反射在Gross-Pitaevskii近似下 显示英文标题

标题： Above-Barrier Reflection of Cold Atoms by Resonant Laser Light within the Gross-Pitaevskii Approximation

摘要： 以上屏障反射冷碱金属原子的共振激光光被在Gross-Pitaevskii近似下进行了分析。 由于定态薛定谔方程的弱非线性对反射系数的修正已通过多尺度分析作为微扰理论的形式得出。 非线性向线性入射波和反射波中添加了空间谐波。 结果显示，当原子的动能接近势垒高度时，非线性的作用会增加。 结果与已知的Gross-Pitaevskii方程带有阶梯势的波函数数值推导进行了比较。 显示英文摘要

摘要： Above-barrier reflection of cold alkali atoms by resonant laser light was considered analytically within the Gross-Pitaevskii approximation. Correction for the reflection coefficient because of a weak nonlinearity of the stationary Schroedinger equation has been derived using multiscale analysis as a form of perturbation theory. The nonlinearity adds spatial harmonics to linear incident and reflecting waves. It was shown that the role of nonlinearity increases when the kinetic energy of an atom is nearly to the height of the potential barrier. Results are compared to the known numerical derivations for wave functions of the Gross-Pitaevskii equation with the step potential.