Entanglement in the quantum Ising model
Quantum Physics
2009-11-13 v1 Probability
Abstract
We study the asymptotic scaling of the entanglement of a block of spins for the ground state of the one-dimensional quantum Ising model with transverse field. When the field is sufficiently strong, the entanglement grows at most logarithmically in the number of spins. The proof utilises a transformation to a model of classical probability called the continuum random-cluster model, and is based on a property of the latter model termed ratio weak-mixing. Our proof applies equally to a large class of disordered interactions.
Cite
@article{arxiv.0704.2981,
title = {Entanglement in the quantum Ising model},
author = {Geoffrey Grimmett and Tobias Osborne and Petra Scudo},
journal= {arXiv preprint arXiv:0704.2981},
year = {2009}
}