论文标题
定期驱动的模型具有准碘潜力和交错的跳跃幅度：机动性差距和多重型状态的工程
Periodically driven model with quasiperiodic potential and staggered hopping amplitudes: engineering of mobility gaps and multifractal states
论文作者
论文摘要
我们研究了具有准碘电势的模型的周期性驾驶是否会产生有趣的浮雕相，而静态模型中没有对应物。具体而言，我们考虑了Aubry-André模型，该模型是一个一维时间独立的模型，具有现场准二元电势$ v_0 $和最近的邻居跳跃幅度，它被认为具有交错的形式。我们添加一个均匀的跳跃振幅，随着频率$ω$的定期变化。与静态的Aubry-André模型不同，该模型具有一个简单的相图具有两个阶段（仅扩展或仅局部状态），我们发现驱动的模型具有四个可能的阶段：仅具有扩展状态的相位，具有多个移动性差距分隔了不同的跨跨跨跨跨型型循环的相位，与共存的扩展相结合的阶段与延伸的，多生效的状态和本地化阶段和一个局部化相混合。多重分子状态已概括为逆参与率，随着系统大小的规模，其指数与扩展和局部状态的值不同。此外，当$ω$和$ v_0 $变化时，我们观察到不同种类状态之间复杂的重点转变。在高频和大型驱动幅度的极限下，我们发现floquet准耐加工与未发动的系统的能量相匹配，但是浮点本征的范围要扩展得多。我们还研究了一个单粒子波数据包的扩散，发现它总是弹道的，但是弹道速度随系统参数的差异很大，有时显示出对$ v_0 $的非单调依赖性，而这在静态模型中不会发生。我们得出的结论是，准碘电势和驱动的相互作用会产生丰富的相图，该图在静态模型中没有出现。
We study if periodic driving of a model with a quasiperiodic potential can generate interesting Floquet phases which have no counterparts in the static model. Specifically, we consider the Aubry-André model which is a one-dimensional time-independent model with an on-site quasiperiodic potential $V_0$ and a nearest-neighbor hopping amplitude which is taken to have a staggered form. We add a uniform hopping amplitude which varies periodically in time with a frequency $ω$. Unlike the static Aubry-André model which has a simple phase diagram with only two phases (only extended or only localized states), we find that the driven model has four possible phases: a phase with only extended states, a phase with multiple mobility gaps separating different quasienergy bands, a mixed phase with coexisting extended, multifractal, and localized states, and a phase with only localized states. The multifractal states have generalized inverse participation ratios which scale with the system size with exponents which are different from the values for both extended and localized states. In addition, we observe intricate re-entrant transitions between the different kinds of states when $ω$ and $V_0$ are varied. In the limit of high frequency and large driving amplitude, we find that the Floquet quasienergies match the energies of the undriven system, but the Floquet eigenstates are much more extended. We also study the spreading of a one-particle wave packet and find that it is always ballistic but the ballistic velocity varies significantly with the system parameters, sometimes showing a non-monotonic dependence on $V_0$ which does not occur in the static model. We conclude that the interplay of quasiperiodic potential and driving produces a rich phase diagram which does not appear in the static model.
