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We analyze the recently developed folding algorithm [Phys. Rev. Lett. 102,240603 (2009)] to simulate the dynamics of infinite quantum spin chains, andrelate its performance to the kind of entanglement produced under the evolutionof product states. We benchmark the accomplishments of this technique withrespect to alternative strategies using Ising Hamiltonians with transverse andparallel fields, as well as XY models. Additionally, we evaluate its ability tofind ground and thermal equilibrium states.

Tensor network techniques for the computation of dynamical observables in 1D quantum spin systems