Building ground states of the Hubbard model by time-ordered bound-pair injection

According to energy band theory, ground states of a normal conductor and insulator can be obtained by filling electrons individually into levels, without any restrictions. It fails when the electron-electron correlation is taken account. In this work, we investigate dynamic process building Hubbard model. based on time-ordered quantum quenches for unidirectional hopping across central an auxiliary We find that there exists set optimal parameters (chemical potentials pair binding energy) system, which takes role electron-pair reservoir. The exceptional point dynamics in non-Hermitian mechanics allows perfect transfer electron from reservoir obtaining its at different fillings. not only provides method correlated state engineering, but also reveals feature alternative way.