We propose an efficientmethod to construct shortcuts to adiabaticity throughdesigning a substitute Hamiltonian to try to avoid the defect in which thespeed-up protocol' Hamiltonian may involve terms which are difficult to realizein practice. We show that as long as the counterdiabatic coupling terms-evenonly some of them-have been nullified by the additional Hamiltonian, thecorresponding shortcuts to the adiabatic process could be constructed and theadiabatic process would be sped up. As an application example, we apply thismethod to the popular Landau-Zener model for the realization of fast populationinversion. The results show that in both Hermitian and non-Hermitian systems,we can design different additional Hamiltonians to replace the traditionalcounterdiabatic driving Hamiltonian to speed up the process. This methodprovides many choices for designing additional terms of the Hamiltonian suchthat one can choose a realizable model in practice.
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