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The time evolution properties of charge current for the one-dimensionalHubbard model in an electric field have been studied in a rigorous manner. Wefind that there is a complete and orthonormal set of time-evolution states forwhich the charge current can only keep zero or oscillate constantly, differingfrom the possible picture of damped or over-damped Bloch oscillations due tostrong correlations. It is also found that, associated with these states, thereis a set of constant phase factors, which are uniquely determined and are veryuseful on discussing the long-time evolution behaviors of the system.

Oscillating charge currents of one-dimensional Hubbard model in an electric field