无序光斑电势中玻色凝聚气体的安德森局域化

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大于5)对安德森局域化的稳定性产生不利影响。（4）Vs为0.6μ，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。

Anderson localization of Bose-condensed gas in disordered speckle potentials

Based on the Gross-Pitaevskii (G-P) energy functional, the Anderson localization of a weakly-interacting Bose-condensed gas in a controllable speckle potential was investigated by means of split-step Fourier spectral method. The conclusions are as following. (1) The Gaussian-like exponential ansatz achieves good results in variation analysis. (2) Under the condition that disorder strength η is 1, interaction between atoms κ is 0.1 and characteristic intensity of speckle potential Vs is greater than 0.6 times of chemical potential μ, Bose-condensed gas can maintain a stable localized state during evolution. (3) The larger interaction between atoms goes against the formation of a stable Anderson localization when κ is greater than 5. (4) Under the condition that Vs is 0.6μ and κ is 0.1, Anderson localization of Bose-condensed gas is more notable as the disorder strength of speckle potential η increases.