Figure 1

Two-point and three-point correlations. Correlation functions $〈{\hat{b}}_1^{†}{\hat{b}}_2〉$ (red), $〈{\hat{b}}_1{({\hat{b}}_2^{†})}^2{\hat{b}}_3〉$ (blue), ${〈{\hat{n}}_1{\hat{b}}_2^{†}{\hat{b}}_3〉}^{\mathrm{corr}}$ (green) after quench $J/U=0\to 0.1$ calculated by exact diagonalization for one-dimensional lattice of 11 sites (1D) and for two-dimensional lattice of $3\times 3$ sites (2D). Straight horizontal lines show the values averaged over an infinite evolution time.