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

• URL: http://arxiv.org/abs/2012.11763v2
• Date: Thu, 21 Jan 2021 07:31:03 GMT
• Title: Time-rescaling of Dirac dynamics: shortcuts to adiabaticity in ion traps and Weyl semimetals
• Authors: Agniva Roychowdhury, Sebastian Deffner
• Abstract summary: We show how time-rescaling can be applied to Dirac dynamics. All time-dependence can be absorbed into the effective potentials through a judiciously chosen unitary transformation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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