We investigate the dynamics of correlation propagation in the one-dimensional Fermi-Hubbard model with $\mathrm{SU}\left(N\right)$ symmetry when the repulsive-interaction strength is quenched from a large value, at which the ground state is a Mott-insulator with $1/N$ filling, to an intermediate value. From approximate analytical insights based on a simple model that captures the essential physics of the doublon excitations, we show that entanglement in the initial state leads to collective enhancement of the propagation velocity $v_{\text{SU}\left(N\right)}$ when $N>2$, becoming equal to the velocity of the Bose-Hubbard model in the large-$N$ limit. These results are supported by numerical calculations of the density-density correlation in the quench dynamics for $N=2,3,4,$ and 6.

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• Cold gases in optical lattices
• Quantum quench
• 1-dimensional systems
• Atomic gases
• Hubbard model
• Matrix product states
• SU(N) symmetries