论文标题
1D光学晶格的拓扑浮雕工程，通过两个谐波频率共鸣
Topological Floquet engineering of a 1D optical lattice via resonantly shaking with two harmonic frequencies
论文作者
论文摘要
我们研究了一个振奋的一维光学晶格系统的拓扑特性，在该系统上，晶格位置定期用两个谐波频率驱动，以在两个最低轨道之间产生一单光子和两光子耦合。在两个波段的近似中，我们从数值上表明，退化边缘状态出现在一定的驾驶条件下，相应的拓扑阶段受到定期驱动系统的手性对称性的保护。该系统的微动作用以振荡的ZAK相表征，我们发现只有在明确满足手性对称条件时，Zak阶段才进行量化。最后，我们描述了当驱动参数围绕临界点缓慢调节时会产生的拓扑电荷泵送效果，并研究其绝热性以增加调制频率。
We investigate the topological properties of a resonantly shaken one-dimensional optical lattice system, where the lattice position is periodically driven with two harmonic frequencies to generate one- and two-photon couplings between the two lowest orbitals. In a two-band approximation, we numerically show that degenerate edge states appear under a certain driving condition and that the corresponding topological phase is protected by the chiral symmetry of the periodically driven system. The system's micromotion is characterized with oscillating Zak phases and we find that the Zak phases are quantized only at the time when the chiral symmetry condition is explicitly satisfied. Finally, we describe the topological charge pumping effect which arises when the driving parameters are slowly modulated around a critical point, and investigate its adiabaticity for increasing the modulation frequency.
