Quantum diffusion of matter waves in 2D speckle potentials
Quantum diffusion of matter waves in 2D speckle potentials
复制标题
二维散斑势中物质波的量子扩散
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
C. Müller
中科院分区：
文献类型：
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作者：
C. Miniatura;R. Kuhn;D. Delande;C. Müller
本文研究了二维随机势中物质波的量子扩散，重点研究了空间关联光学散斑势中玻色-爱因斯坦凝聚的扩展。特别注意描述失相、有限系统尺寸和初始动量分布的影响。我们推导出一般表达式的干扰重整化扩散常数，无序平均概率密度分布，方差的膨胀原子云，和本地化的原子分数。这些量的详细研究的特殊情况下，一个倒抛物线的动量分布，从一个膨胀的凝聚体中获得的Ekas-Fermi制度。最后，我们推导出定量的标准，在一个可能的2D实验中的本地化效果的明确观察。
This paper investigates quantum diffusion of matter waves in two-dimensional random potentials, focussing on expanding Bose-Einstein condensates in spatially correlated optical speckle potentials. Special care is taken to describe the effect of dephasing, finite system size, and an initial momentum distribution. We derive general expressions for the interference-renormalized diffusion constant, the disorder-averaged probability density distribution, the variance of the expanding atomic cloud, and the localized fraction of atoms. These quantities are studied in detail for the special case of an inverted-parabola momentum distribution as obtained from an expanding condensate in the Thomas-Fermi regime. Lastly, we derive quantitative criteria for the unambiguous observation of localization effects in a possible 2D experiment.