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We study the spreading of correlations in space and time after a quantumquench in the Bose Hubbard model. We derive equations of motion for thesingle-particle Green's function within the contour-time formalism, allowing usto study dynamics in the strong coupling regime. We discuss the numericalsolutions of these equations and calculate the single-particle density matrixfor quenches in the Mott phase. We demonstrate light-cone like spreading ofcorrelations in the Mott phase in one, two, and three dimensions and calculatepropagation velocities in each dimension.

Light-cone like spreading of single-particle correlations in the Bose-Hubbard model after a quantum quench in the strong coupling regime