2020/12/31 by Agniva Roychowdhury, Sebastian Deffner · 1 citation
Mathematics · Physics and Astronomy · #Adiabatic process #Dirac (video compression format) #Eigenvalues and eigenvectors #Hamiltonian (control theory) #Ion #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #Unitary state #quant-ph
paper · pdf · doi:10.3390/e23010081
published as Entropy 23 (1), 81 (2021) · 13 pages, 1 figure
openalex created_date 2021/01/05 · openalex publication_date 2021/01/08 · arxiv created 2021/01/21 · arxiv updated 2021/01/22 · openalex updated_date 2026/08/05
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.