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.

中文翻译：

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狄拉克动力学的时间缩放：离子阱和外尔半金属绝热的捷径

直到最近，重新调整时间才被认为是在快速过程中实现绝热动力学的一种方式。与其他绝热捷径相比，时间重新缩放的优势在于它不依赖于哈密顿量的本征谱和本征态。然而，时间重新缩放要求原始动力学是绝热的，并且在重新缩放的时间范围内，哈密顿量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重新标度应用于狄拉克动力学，并且我们展示了所有时间依赖性都可以通过明智选择的幺正变换被吸收到有效势中。这在两个实验相关的场景中得到了证明，即离子阱和外尔点的绝热产生。