Abstract

We study the survival of the current induced initially by applying a twist at the boundary of a chain of hard-core bosons (HCBs), subject to a periodic double δ-function kicks in the staggered on-site potential. We study the current flow and the work-done on the system at the long-time limit as a function of the driving frequency. Like a recent observation in the HCB chain with single δ-function kick in the staggered on-site potential, here we also observe many dips in the current flow and concurrently many peaks in the work-done on the system at some specific values of the driving frequency. However, unlike the single kicked case, here we do not observe a complete disappearance of the current in the limit of a high driving frequency, which shows the absence of any dynamical localization in the double δ-functions kicked HCB chain. Our analytical estimations of the saturated current and the saturated work-done, defined at the limit of a large time together with a high driving frequency, match very well with the exact numerics. In the case of the very small initial current, induced by a very small twist ν, we observe that the saturated current is proportional to ν. Finally, we study the time-evolution of the half-filled HCB chain where the particles are localized in the central part of the chain. We observe that the particles spread linearly in a light-cone like region at the rate determined by the maximum value of the group velocity. Except for a very trivial case, the maximum group velocity never vanishes, and therefore we do not observe any dynamical localization in the system.

Graphical abstract

中文翻译：

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周期性驱动的硬核玻核系统中电流的生存

摘要

我们研究了通过在硬核玻色子（HCBs）链的边界上施加扭曲，并在交错的现场电势中受到周期性的双重δ-作用踢，最初诱导的电流的存活。我们根据驱动频率来研究长期限制下系统的电流和工作情况。就像最近在HCB链中观察到的单个δ功能错开的现场电位，在这里我们还观察到在某些特定的驱动频率值下，电流流过许多骤降，并同时在系统上完成了许多工作峰值。但是，与单踢情况不同，在高驱动频率的限制下，我们没有观察到电流的完全消失，这表明双δ功能踢HCB链中没有任何动态定位。我们对饱和电流和饱和工作的分析估计（在很长的时间限制内以及较高的驱动频率下定义）与精确的数值非常吻合。在非常小的初始电流（由很小的扭曲ν引起）的情况下，我们观察到饱和电流与ν。最后，我们研究了半填充HCB链的时间演化，其中颗粒位于链的中心部分。我们观察到粒子以类似于群速度最大值确定的速率线性分布在类似圆锥形的区域中。除了非常琐碎的情况外，最大组速度永远不会消失，因此我们在系统中没有观察到任何动态定位。

图形概要