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arXiv 2012.11763quant-ph
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狄拉克动力学的时间重新标度:离子阱和Weyl半金属绝热性的捷径

Time-rescaling of Dirac dynamics: shortcuts to adiabaticity in ion traps and Weyl semimetals

Agniva Roychowdhury, Sebastian Deffner

摘要:

直到最近,重新标度时间才被认为是在快速过程中实现绝热动力学的一种方法。与其他绝热性的捷径相比,时间重标度的优点是它不依赖于哈密顿量的本征谱和本征态。然而,时间重新标度要求原始动力学是绝热的,并且在重新标度的时间框架中,哈密顿量表现出非平凡的时间依赖性。在这项工作中,我们展示了如何时间重新标度可以应用到狄拉克动力学,我们表明,所有的时间依赖性可以吸收到有效的潜力,通过一个明智的选择酉变换。这是证明了两个实验相关的情况下,即离子阱和绝热创建外尔点。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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