Entanglement growth and simulation efficiency in one-dimensional quantum lattice systems
Strongly Correlated Electrons
2009-11-13 v2 Quantum Physics
Abstract
We study the evolution of one-dimensional quantum lattice systems when the ground state is perturbed by altering one site in the middle of the chain. For a large class of models, we observe a similar pattern of entanglement growth during the evolution, characterized by a moderate increase of significant Schmidt coefficients in all relevant bipartite decompositions of the state. As a result, the evolution can be accurately described by a matrix product state and efficiently simulated using the time-evolving block decimation algorithm.
Cite
@article{arxiv.0711.3676,
title = {Entanglement growth and simulation efficiency in one-dimensional quantum lattice systems},
author = {Alvaro Perales and Guifre Vidal},
journal= {arXiv preprint arXiv:0711.3676},
year = {2009}
}
Comments
6 pages, 5 figures