Quantum diffusion of matter waves in 2D speckle potentials

被引：0

作者：

C. Miniatura

R. C. Kuhn

D. Delande

C. A. Müller

机构：

[1] Université de Nice Sophia,Institut Non Linéaire de Nice, UMR 6618

[2] CNRS,undefined

[3] Physikalisches Institut,undefined

[4] Universität Bayreuth,undefined

[5] Laboratoire Kastler-Brossel,undefined

[6] Université Pierre et Marie Curie-Paris 6,undefined

[7] ENS,undefined

[8] CNRS; 4 Place Jussieu,undefined

[9] Centre for Quantum Technologies,undefined

[10] National University of Singapore,undefined

[11] IPAL,undefined

[12] CNRS,undefined

来源：

The European Physical Journal B | 2009年 / 68卷

关键词：

03.75.Kk Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow; 42.25.Dd Wave propagation in random media; 72.15.Rn Localization effects;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：353 / 364

页数：11

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