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arXiv · 0711.3676

Entanglement growth and simulation efficiency in one-dimensional quantum lattice systems

Alvaro Perales·Guifre Vidal
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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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Alvaro Perales, Guifre Vidal. 2008-11-03. Entanglement growth and simulation efficiency in one-dimensional quantum lattice systems. https://doi.org/10.1103/physreva.78.042337

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