论文标题
类似Bloch的超级振荡和相驱动量子步行器的单向运动
Bloch-like super-oscillations and unidirectional motion of phase driven quantum walkers
论文作者
论文摘要
我们研究量子步行者的动力学，同时受到时间非依赖性和依赖性阶段的动力学。这种动力学模拟了经受静态和谐波电场叠加的晶格中带电的量子粒子。通过适当的设置，我们研究了诱导类似Bloch的超级振荡的可能性，这是由于对谐波相位$ω$的频率的仔细调整以及与常规Bloch样振荡$ω_b$相关的频率。通过探索波袋质心的频谱，我们能够区分规则和超级振荡主要的机制。此外，我们表明，在精确的谐振条件下$ω=ω_b$单向运动是建立的，波袋平均速度是量子步行硬币操作员参数的函数，静态和和谐项的相对强度以及谐波阶段的相位。我们表明，在连续的时间类似模型中可以很好地描述平均漂移速度。
We study the dynamics of a quantum walker simultaneously subjected to time-independent and -dependent phases. Such dynamics emulates a charged quantum particle in a lattice subjected to a superposition of static and harmonic electric fields. With proper settings, we investigate the possibility to induce Bloch-like super-oscillations, resulting from a close tuning of the frequency of the harmonic phase $ω$ and that associated with the regular Bloch-like oscillations $ω_B$ . By exploring the frequency spectra of the wavepacket centroid, we are able to distinguish the regimes on which regular and super-Bloch oscillations are predominant. Furthermore, we show that under exact resonant conditions $ω=ω_B$ unidirectional motion is established with the wavepacket average velocity being a function of the quantum walk coin operator parameter, the relative strengths of the static and harmonic terms, as well as the own phase of the harmonic phase. We show that the average drift velocity can be well described within a continuous-time analogous model.
