2016/04/30 by Ye-Hong Chen, Ye‐Hong Chen, Yan Xia +5 · 1 citation
Mathematics · Physics and Astronomy · #Adiabatic process #Algorithm #Applied mathematics #Computer science #Hamiltonian (control theory) #Hermitian matrix #Mathematical optimization #Mathematics #Parallel computing #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Speedup #Statistical physics #Theoretical physics #quant-ph
paper · pdf · doi:10.1103/physreva.93.052109
published as Physical Review A 93,052109 (2016) · 11pages, 6 figures, has been accepted for publication as a Regular Article in Physicial Review A
openalex publication_date 2016/05/13 · arxiv created 2016/05/14 · arxiv updated 2016/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose an efficient method to construct shortcuts to adiabaticity through designing a substitute Hamiltonian to try to avoid the defect in which the speed-up protocols' Hamiltonian may involve terms which are difficult to realize in practice. We show that as long as the counterdiabatic coupling terms---even only some of them---have been nullified by the additional Hamiltonian, the corresponding shortcuts to the adiabatic process could be constructed and the adiabatic process would be sped up. As an application example, we apply this method to the popular Landau-Zener model for the realization of fast population inversion. The results show that in both Hermitian and non-Hermitian systems, we can design different additional Hamiltonians to replace the traditional counterdiabatic driving Hamiltonian to speed up the process. This method provides many choices for designing additional terms of the Hamiltonian such that one can choose a realizable model in practice.