Entanglement of quantum spin systems: a valence-bond approach
Strongly Correlated Electrons
2011-05-26 v1 Quantum Physics
Abstract
In order to quantify entanglement between two parts of a quantum system, one of the most used estimator is the Von Neumann entropy. Unfortunately, computing this quantity for large interacting quantum spin systems remains an open issue. Faced with this difficulty, other estimators have been proposed to measure entanglement efficiently, mostly by using simulations in the valence-bond basis. We review the different proposals and try to clarify the connections between their geometric definitions and proper observables. We illustrate this analysis with new results of entanglement properties of spin 1 chains.
Keywords
Cite
@article{arxiv.1011.6530,
title = {Entanglement of quantum spin systems: a valence-bond approach},
author = {S. Capponi and F. Alet and M. Mambrini},
journal= {arXiv preprint arXiv:1011.6530},
year = {2011}
}
Comments
Proceedings of StatPhys 24 satellite conference in Hanoi; submitted for a special issue of Modern Physics Letters B