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

Abstract

We study the spreading of correlations in space and time after a quantum quench in the Bose Hubbard model. We derive equations of motion for the single-particle Green's function within the contour-time formalism, allowing us to study dynamics in the strong coupling regime. We discuss the numerical solutions of these equations and calculate the single-particle density matrix for quenches in the Mott phase. We demonstrate light-cone like spreading of correlations in the Mott phase in one, two, and three dimensions and calculate propagation velocities in each dimension.

arXiv comment16 pages, 9 figures

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• Lieb-Robinson bound and almost-linear light-cone in interacting boson systems
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