  We investigate the non-equilibrium dynamics of the one-dimensional extended
Hubbard model after interaction quenches. In strong-coupling regime with large
on-site interaction, the ground states of this model with small and large
nearest-neighbor interactions are in spin-density-wave and charge-density-wave
phases, respectively. Combining twisted boundary conditions with the
time-dependent Lanczos method, we obtain snapshots of the time-dependent
single-particle spectrum after quenches. We find that for quench within the
same phase, the single-particle spectrum becomes close to that of the quenched
Hamiltonian immediately after the quench. While for quench across the critical
point, the afterward evolution process depends mainly on the distribution of
the initial state among the eigenstates of the quenched Hamiltonian. Our
finding may serve as a way to detect the phase transition in ultracold atom
systems with interactions.
