Time-rescaling of Dirac dynamics: shortcuts to adiabaticity in ion traps and Weyl semimetals
arXiv:2012.11763 · doi:10.3390/e23010081
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.
13 pages, 1 figure
References in corpus (12)
- Dirac materials
- Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
- Quantized Adiabatic Transport in Momentum Space
- Focus on Shortcuts to Adiabaticity
- Shortcuts to adiabaticity using flow fields
- Thermodynamic control -- an old paradigm with new applications
- Resonantly enhanced pair production in a simple diatomic model
- Fast forward to the classical adiabatic invariant
- Generating controllable type-II Weyl points via periodic driving
- Robust state preparation in quantum simulations of Dirac dynamics
- Landau-Zener-Stückelberg interferometry in pair production from counterpropagating lasers
- Adiabatic Pair Creation