  We study quantum quenches in the transverse-field Ising model defined on
different lattice geometries such as chains, two- and three-leg ladders, and
two-dimensional square lattices. Starting from fully polarized initial states,
we consider the dynamics of the transverse and the longitudinal magnetization
for quenches to weak, strong, and critical values of the transverse field. To
this end, we rely on an efficient combination of numerical linked cluster
expansions (NLCEs) and a forward propagation of pure states in real time. As a
main result, we demonstrate that NLCEs comprising solely rectangular clusters
provide a promising approach to study the real-time dynamics of two-dimensional
quantum many-body systems directly in the thermodynamic limit. By comparing to
existing data from the literature, we unveil that NLCEs yield converged results
on time scales which are competitive to other state-of-the-art numerical
methods.
