Entanglement growth and simulation efficiency in one-dimensional quantum lattice systems
Álvaro PeralesDepartamento Automática, Universidad de Alcalá, Alcalá de Henares, Madrid 28871, SpainGuifré VidalSchool of Physical Sciences, The University of Queensland, QLD 4072, Australia
2008en
ABI
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.
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Cited by 30 references