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

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

2007-11-23

arxiv.org/abs/0711.3676v2

Phys. Rev A 78, 042337 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 5 figures

Scientific paper

10.1103/PhysRevA.78.042337

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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