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

TL;DR

This paper investigates how entanglement evolves in one-dimensional quantum lattice systems after a local perturbation, demonstrating that the entanglement growth allows for efficient simulation using matrix product states.

Contribution

It reveals a universal pattern of entanglement growth in such systems, enabling accurate and efficient simulation with the time-evolving block decimation algorithm.

Findings

Entanglement growth is moderate and uniform across models.

Matrix product states effectively describe the evolved states.

Simulation efficiency is maintained due to controlled entanglement increase.

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.