论文标题

在定期驱动的延长Su-Schrieffer-Heeger模型中,Chern数字高的浮雕拓扑阶段

Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model

论文作者

Agrawal, Aayushi, Bandyopadhyay, Jayendra N.

论文摘要

Chern编号| C |的高chern数阶段> 1在具有周期性驱动的延长的Su-Schrieffer-Heeger(E-SSH)模型的研究中观察到了> 1。除了SSH模型的标准内二聚体和最近的邻居(NN)二聚体之间的跳跃外,E-SSH模型还考虑了另外的下一个最新的邻居(NNN)跳跃。循环参数起着合成维度的作用,被称为跳跃强度的调节。对不同相图的严格分析表明,高chern数量阶段之间的多个浮部拓扑相变。这些相变可以通过周期性驾驶的强度和频率来控制。整体分析不是通过Floquet Replica技术完成的,而不是应用扰动理论。这可以通过考虑较少或更多的光子扇区来研究对系统的高频和低频影响的自由。可以通过光学晶格设置中的脉冲序列方案实验实现该系统。

The high Chern number phases with the Chern number |C| > 1 are observed in this study of a periodically driven extended Su-Schrieffer-Heeger (E-SSH) model with a cyclic parameter. Besides the standard intra-dimer and the nearest-neighbor (NN) inter-dimer hopping of the SSH model, an additional next-nearest-neighbor (NNN) hopping is considered in the E-SSH model. The cyclic parameter, which plays the role of a synthetic dimension, is invoked as a modulation of the hopping strengths. A rigorous analysis of different phase diagrams has shown multiple Floquet topological phase transitions among the high Chern number phases. These phase transitions can be controlled by the strength and frequency of the periodic driving. Instead of applying perturbation theory, the whole analysis is done by Floquet replica technique. This gives a freedom to study high as well as low-frequency effects on the system by considering less or more number of photon sectors. This system can be experimentally realized through a pulse sequence scheme in the optical lattice setup.

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