arXiv 1503.043322015-03cond-mat.quant-gas

量子混沌理论中物质波的安德森局域化

Anderson localization of matter waves in quantum-chaos theory

Elisa Fratini, Sebastiano Pilati

备注：: 6 pages, 4 figures + supplemental material: 4 pages, 6 figures
发表信息：: Phys. Rev. A 91, 061601(R) (2015)

摘要：

通过对原子气体能级间距的统计分析，研究了原子气体在三维散斑作用下的安德森局域化。这种方法使我们能够考虑现实模型的散斑图案，考虑到强各向异性的相关性，实现在具体的实验配置。我们首先计算使用单个激光束创建的散斑图案的迁移率边缘$E_c$。我们发现，当我们改变散斑颗粒的各向异性时，$E_c$漂移，从散斑沿光束传播轴被挤压时的较高值，到它们被拉长时的较低值。我们还考虑的情况下，两个散斑图案叠加形成干涉条纹，我们发现，$E_c$增加的情况下，理想化的各向同性的障碍。我们讨论了冷原子实验的重要影响，我们的研究结果。

英文摘要：

We study the Anderson localization of atomic gases exposed to three-dimensional optical speckles by analyzing the statistics of the energy-level spacings. This method allows us to consider realistic models of the speckle patterns, taking into account the strongly anisotropic correlations which are realized in concrete experimental configurations. We first compute the mobility edge $E_c$ of a speckle pattern created using a single laser beam. We find that $E_c$ drifts when we vary the anisotropy of the speckle grains, going from higher values when the speckles are squeezed along the beam propagation axis, to lower values when they are elongated. We also consider the case where two speckle patterns are superimposed forming interference fringes, and we find that $E_c$ is increased compared to the case of idealized isotropic disorder. We discuss the important implications of our findings for cold-atoms experiments.

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英文摘要：

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