基于Gross-Pitaevskii(G-P)平均场能量泛函,运用分步傅里叶方法研究了可控的无序光斑电势中弱相互作用玻色凝聚气体的安德森局域化.研究结果表明:1)类高斯指数型的试探函数在变分分析过程中取得了预期效果;2)无序度η为1,相互作用强度κ为0.1的条件下,当电势特征强度Vs大于0.6倍化学势(0.6μ)时,凝聚气体在演化过程中能够保持稳定的局域化状态;3)较大的原子间相互作用(κ＞5)对安德森局域化的稳定性产生不利影响; 4)Vs为0.6 μ,κ为0.1的条件下,光斑电势的无序度η越大,凝聚气体的安德森局域化越明显.
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