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准周期晶格在冷原子领域被广泛研究, 它使得人们可以在一维或者二维系统里研究扩展到安德森局域的转变. 2008年, Inguscio研究组在冷原子系统里制备了一维准周期晶格, 并观测到了安德森局域化现象, 这极大地推动了准周期系统的理论和实验研究. 后来, Bloch研究组在制备的一维和二维准周期晶格中都观测到了多体局域的现象. 最近, 他们还在准周期晶格中成功观测到迁移率边以及存在迁移率边的系统的多体局域现象. 这些冷原子实验推动了多体局域以及迁移率边等方向的研究. 准周期晶格已经成为一个平台, 它对很多物理现象的影响正在被广泛研究, 并可以尝试在冷原子实验中观测到这种影响. 本文结合作者的一些相关工作, 对一维准周期晶格一些近期的研究进行了简要综述, 介绍了一些相关的重要的冷原子实验, 讨论了准周期晶格的一些重要性质, 以及它对一些物理现象(比如拓扑态)的影响.Quasiperiodic lattices have been widely studied in cold atoms, which make one study extended-Anderson localization transition in one-dimensional (1D) or two-dimensional (2D) systems. In 2008, Inguscio's group prepared one-dimensional quasiperiodic lattice in cold atomic system and observed Anderson localization, which promoted the theoretical and experimental studies of quasiperiodic systems. Later, Bloch's group observed the many body localization in their prepared 1D and 2D quasiperiodic lattices. Recently, they also successfully observed the mobility edge and many body localization in a system with mobility edge in quasiperiodic lattices. These cold atom experiments have promoted the researches of many body localization and mobility edge. Quasiperiodic lattices have become a platform and its effects on many physical phenomena are being extensively studied, which can be expectantly observed in cold atomic experiments. This paper is based on the authors' some related work and briefly review some recent studies on the 1D quasiperiodic lattices, including some important cold atom experiments, some important properties of the quasiperiodic lattices and their effects on some physical phenomena, such as topological states.
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