论文标题
Floquet乐队工程与Bloch振荡
Floquet band engineering with Bloch oscillations
论文作者
论文摘要
这项工作通过添加倾斜的线性潜力来定期驱动的晶格系统，通过Bloch振荡为浮动带的工程提供了方便而有力的手段。添加的线性场不仅限制了随时间不断发展的波袋的扩散，还取决于Bloch振荡频率与周期性驾驶的调制频率之间的比例，可显着修改频带轮廓和拓扑。具体而言，在线性场的存在下，我们将驱动的Aubry-André-Harper模型视为一个工作示例。由于周期性驾驶和Bloch振荡之间的相互作用，几乎具有较大Chern数量的浮光带或浮子带，可以通过调节两个竞争频率的比率进行广泛调节，因此可以获得周期性驾驶和Bloch振荡之间的相互作用。为了确认我们的发现，我们进一步执行了这样一个晶格系统中一个和两个相互作用的玻色子的泵，并建立了其与单粒子和两粒子浮子波段的拓扑特性的联系。
This work provides a convenient and powerful means towards the engineering of Floquet bands via Bloch oscillations, by adding a tilted linear potential to periodically driven lattice systems. The added linear field not only restricts the spreading of a time-evolving wavepacket but also, depending on the ratio between the Bloch oscillation frequency and the modulation frequency of the periodic driving, dramatically modifies the band profile and topology. Specifically, we consider a driven Aubry-André-Harper model as a working example, in the presence of a linear field. Almost flat Floquet bands or Floquet bands with large Chern numbers due to the interplay between the periodic driving and Bloch oscillations can be obtained, with the band structure and topology extensively tunable by adjusting the ratio of two competing frequencies. To confirm our finding, we further execute the Thouless pumping of one and two interacting bosons in such a lattice system and establish its connection with the topological properties of single- and two-particle Floquet bands.
