We analyze the recently developed folding algorithm [Phys. Rev. Lett. 102,
240603 (2009)] to simulate the dynamics of infinite quantum spin chains, and
relate its performance to the kind of entanglement produced under the evolution
of product states. We benchmark the accomplishments of this technique with
respect to alternative strategies using Ising Hamiltonians with transverse and
parallel fields, as well as XY models. Additionally, we evaluate its ability to
find ground and thermal equilibrium states.Comment: 33 pages, 22 figure