1207.0862 (V. Zauner et al.)

Time Evolution within a Comoving Window: Scaling of signal fronts and
magnetization plateaus after a local quench in quantum spin chains    [PDF]

V. Zauner, M. Ganahl, H. G. Evertz, T. Nishino

We present a modification of Matrix Product State time evolution to simulate the propagation of signal fronts on infinite one-dimensional systems. We restrict the calculation to a window moving along with a signal, which by the Lieb-Robinson bound is contained within a light cone. Signal fronts can be studied unperturbed for much longer times than on finite systems. Entanglement inside the window is naturally small, greatly lowering computational effort. We calculate the time evolution of the transverse field Ising (TFI) model and of the XXZ spin-half antiferromagnet after local quantum quenches. In both models, we observe distinct magnetization plateaus. Their dynamical scaling behavior can be described quantitatively in the TFI model.

View original: http://arxiv.org/abs/1207.0862