arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1003.4456cond-mat.quant-gascond-mat.dis-nn
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利用双色晶格中的超冷原子探索复杂现象

Exploring complex phenomena using ultracold atoms in bichromatic lattices

Shuming Li, Indubala I Satija, Charles W. Clark, Ana Maria Rey

摘要:

在竞争尺度的共同主题下,我们研究了准周期势场中的多体薛定谔方程,并讨论了它与经典力学的Kolmogorov-Arnold-Moser(KAM)问题的联系.我们提出了一个可能的可视化这种连接在实验上可访问的多体观测。这些观测量是有用的探针的三个特征阶段的问题:金属,安德森和带绝缘体阶段。此外,它们还表现出非线性现象的指纹,如阿诺德舌头,分叉和魔鬼的楼梯。我们的数值处理补充微扰分析,提供了深入了解的基础物理。微扰理论的方法是特别有用的照明安德森绝缘体和带绝缘体相位之间的区别,成对的二聚状态。

英文摘要:

With an underlying common theme of competing length scales, we study the many-body Schrödinger equation in a quasiperiodic potential and discuss its connection with the Kolmogorov-Arnold-Moser (KAM) problem of classical mechanics. We propose a possible visualization of such connection in experimentally accessible many-body observables. Those observables are useful probes for the three characteristic phases of the problem: the metallic, Anderson and band insulator phases. In addition, they exhibit fingerprints of non-linear phenomena such as Arnold tongues, bifurcations and devil's staircases. Our numerical treatment is complemented with a perturbative analysis which provides insight on the underlying physics. The perturbation theory approach is particularly useful in illuminating the distinction between the Anderson insulator and the band insulator phases in terms of paired sets of dimerized states.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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