Propagation of quantum correlations after a quench in the Mott-insulator regime of the Bose-Hubbard model

Abstract

We study a quantum quench in the Bose-Hubbard model where the tunneling rate $J$ is suddenly switched from zero to a finite value in the Mott regime. In order to solve the many-body quantum dynamics far from equlibrium, we consider the reduced density matrices for a finite number (one, two, three, etc.) of lattice sites and split them up into on-site density operators, i.e., the mean field, plus two-point and three-point correlations etc. Neglecting three-point and higher correlations, we are able to numerically simulate the time-evolution of the few-site density matrices and the two-point quantum correlations (e.g., their effective light-cone structure) for a comparably large number $\mathcal{O}(10^3)$ of lattice sites.

References in corpus (5)

• The density-matrix renormalization group in the age of matrix product states
• Thermalization and its mechanism for generic isolated quantum systems
• Light-cone-like spreading of correlations in a quantum many-body system
• New theoretical approaches for correlated systems in nonequilibrium
• Cosmological particle creation in the lab?

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