论文标题
抛物线陷阱的参数调制超级振荡
Super-Bloch oscillations with parametric modulation of a parabolic trap
论文作者
论文摘要
超界振荡是Bloch振荡与周期晶格调制之间的相对相的结果。我们分析了模型系统的动力学，在该模型系统中，由于抛物线陷阱提供的位置依赖性力本质上存在这种相对相位，因此不需要外部失调。相对相并非唯一，实现的动力学取决于调制抛物线电位的初始阶段。我们通过分析真实空间中的时空动力学以及可视化K空间动力学中的相对相，为不同获得的振荡运输和扩散方案提供准确的解释。我们还将我们的数值结果与调制恒力系统的组速度的近似半经典分析表达进行了比较，并为相干振荡找到了良好的一致性，但是对于振荡的偏差，具有扩散动力学的偏差，完全支持了我们发现的解释。
Super-Bloch oscillations are the outcome of a relative phase between Bloch oscillations and modulations of the periodic lattice. We analyze the dynamics for a model system in which such a relative phase is intrinsically present due to the position-dependent force provided by a parabolic trap and therefore an external detuning is not required. The relative phase is not unique and the realized dynamics depends on the initial phase of the modulated parabolic potential. We provide accurate explanations for the different obtained oscillatory transport and spreading regimes by analyzing the spatio-temporal dynamics in real space and by visualizing the relative phase in the k-space dynamics. We also compare our numerical results to an approximate semiclassical analytical expression for the group velocity for a modulated constant force system and find good agreement for coherent oscillations but deviations for oscillations with spreading dynamics which altogether supports the interpretations of our findings.
