Topological phases of the kicked Harper–Kitaev model with ultracold atoms
Topological phases of the kicked Harper–Kitaev model with ultracold atoms
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DOI：
10.1088/0953-8984/29/3/035601
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发表时间：
2017-01
期刊：
影响因子：
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通讯作者：
M. N. Chen;F. Mei;W. Su;Huaiqiang Wang;Shi-Liang Zhu;Shining Zhu;L. Sheng;Dingyu Xing
中科院分区：
文献类型：
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作者：
M. N. Chen;F. Mei;W. Su;Huaiqiang Wang;Shi-Liang Zhu;Shining Zhu;L. Sheng;Dingyu Xing
我们提出利用超冷原子被囚禁在一维周期性驱动的光学晶格中来实现Harper-Kitaev模型，其中在位能量被周期性地踢。这样一个系统提供了一个天然的平台来研究陈省身绝缘体和马约拉纳费米子。通过对准能谱的计算，我们发现在准能带的间隙中，样品边界上既可以出现Floquet Majorana模，也可以出现Hall手征边缘模。我们还研究了该模型中拓扑超导态和陈氏绝缘体态的竞争。我们计算了Z2×Z2指数和Floquet Chern数来表征上述两种不同的拓扑状态，包括受踢Harper-Kitaev模型中拓扑相变随踢强的增加.
We propose using ultracold atoms trapped in a one-dimensional periodically driven optical lattice to realize the Harper–Kitaev model, where the on-site energies are periodically kicked. Such a system provides a natural platform to study both Chern insulators and Majorana fermions. Based on calculating the quasienergy spectra, we find that both Floquet Majorana modes and Hall chiral edge modes could appear at the sample boundary in the gaps between the quasienergy bands. We also study the competition of topological superconductor and Chern insulator states in the model. We calculate the Z2×Z2 index and Floquet Chern number to characterize the above two different topological states, including the topological phase transitions in the kicked Harper–Kitaev model with the increase in the strength of the kick.