  We implement numerical linked cluster expansions (NLCEs) to study dynamics of
lattice systems following quantum quenches, and focus on a hard-core boson
model in one-dimensional lattices. We find that, in the nonintegrable regime
and within the accessible times, local observables exhibit exponential
relaxation. We determine the relaxation rate as one departs from the integrable
point and show that it scales quadratically with the strength of the
integrability breaking perturbation. We compare the NLCE results with those
from exact diagonalization calculations on finite chains with periodic boundary
conditions, and show that NLCEs are far more accurate.
