Topological insulator and particle pumping in a one-dimensional shaken optical lattice
Topological insulator and particle pumping in a one-dimensional shaken optical lattice
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DOI：
10.1103/physreva.90.063638
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发表时间：
2014-12
影响因子：
2.9
通讯作者：
F. Mei;Jia-bin You;Dan-Wei Zhang;X. Yang;R. Fazio;Shi-Liang Zhu;L. Kwek
中科院分区：
文献类型：
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作者：
F. Mei;Jia-bin You;Dan-Wei Zhang;X. Yang;R. Fazio;Shi-Liang Zhu;L. Kwek
我们提出了一种简单的方法来模拟和检测拓扑绝缘体与冷原子被困在一个一维的双色光学晶格进行时间周期调制。紧束缚形式的振动系统相当于周期驱动的Aubry-Andre模型。我们证明，这个模型可以映射到一个二维陈省身绝缘体模型，其能谱主机的拓扑相位内的实验可访问的参数制度。通过对激光相位的精确调谐，这种一维系统构成了实现拓扑粒子泵浦的天然平台。我们表明，陈数表征该系统的拓扑特征可以通过检测一个周期的泵浦后的密度漂移来测量。
We propose a simple method to simulate and detect topological insulators with cold atoms trapped in a one-dimensional bichromatic optical lattice subjected to a time-periodic modulation. The tight-binding form of this shaken system is equivalent to the periodically driven Aubry-Andre model. We demonstrate that this model can be mapped into a two-dimensional Chern insulator model, whose energy spectrum hosts a topological phase within an experimentally accessible parameter regime. By tuning the laser phase adiabatically, such one-dimensional system constitutes a natural platform to realize topological particle pumping. We show that the Chern number characterizing the topological features of this system can be measured by detecting the density shift after one cycle of pumping.