Time-Rescaling of Dirac Dynamics: Shortcuts to Adiabaticity in Ion Traps and Weyl Semimetals

• Main Authors: Agniva Roychowdhury, Sebastian Deffner
• Format: Article
• Language: English
• Published: MDPI AG 2021-01-01
• Series: Entropy
• Subjects: shortcuts to adiabaticity; quantum control; Dirac dynamics; ion traps; Weyl semimetals
• Online Access: https://www.mdpi.com/1099-4300/23/1/81

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.