论文标题
狄拉克动力学的时间响应：离子陷阱中的绝热捷径和Weyl半金属
Time-rescaling of Dirac dynamics: shortcuts to adiabaticity in ion traps and Weyl semimetals
论文作者
论文摘要
直到最近，重新制定时间才被公认为在快速过程中实现绝热动态的一种方式。时间响应的优点比对绝热性的其他快捷方式的优势在于，它不取决于哈密顿量的特征性和特征态。但是，时间响应要求原始动力学是绝热的，在重新缩放的时间范围内，汉密尔顿表现出非平凡的时间依赖性。在这项工作中，我们展示了如何将时间响应应用于DIRAC动力学，并且我们表明，所有时间依赖性都可以通过明智选择的统一转换来吸收到有效的潜力中。对于两个实验相关的方案，即离子陷阱和绝热的Weyl点的创建，这证明了这一点。
Only very recently, rescaling time has been recognized as a way to achieve adiabatic dynamics in fast processes. The advantage of time-rescaling over other shortcuts to adiabaticity is that it does not depend on the eigenspectrum and eigenstates of the Hamiltonian. However, time-rescaling requires that the original dynamics are adiabatic, and in the rescaled time frame the Hamiltonian exhibits non-trivial time-dependence. In this work, we show how time-rescaling can be applied to Dirac dynamics, and we show that all time-dependence can be absorbed into the effective potentials through a judiciously chosen unitary transformation. This is demonstrated for two experimentally relevant scenarios, namely for ion traps and adiabatic creation of Weyl points.
