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We study quantum quenches in the transverse-field Ising model defined ondifferent lattice geometries such as chains, two- and three-leg ladders, andtwo-dimensional square lattices. Starting from fully polarized initial states,we consider the dynamics of the transverse and the longitudinal magnetizationfor quenches to weak, strong, and critical values of the transverse field. Tothis end, we rely on an efficient combination of numerical linked clusterexpansions (NLCEs) and a forward propagation of pure states in real time. As amain result, we demonstrate that NLCEs comprising solely rectangular clustersprovide a promising approach to study the real-time dynamics of two-dimensionalquantum many-body systems directly in the thermodynamic limit. By comparing toexisting data from the literature, we unveil that NLCEs yield converged resultson time scales which are competitive to other state-of-the-art numericalmethods.

Quantum quench dynamics in the transverse-field Ising model: A numerical expansion in linked rectangular clusters