Exact solution of U → ∞ 1D Hubbard model in electric field

The $U\rightarrow +\infty$ one-dimensional Hubbard model in an electric field has be exactly solved, with emphasis on the charge current. It is found that undamped Bloch oscillations extensively exist system. Such conclusion also been discussed for more general cases and we find it closely related to temporal periodicity of Hamiltonian field, rather than integrability model. As a comparison, have studied electrons $\delta$-function interactions continuous space, which model, but non-integrable; current strangely shows dissipationless behaior comparable oscillations.