Entanglement of localized states
Quantum Physics
2011-11-09 v2 Mesoscale and Nanoscale Physics
Chaotic Dynamics
Abstract
We derive exact expressions for the mean value of Meyer-Wallach entanglement Q for localized random vectors drawn from various ensembles corresponding to different physical situations. For vectors localized on a randomly chosen subset of the basis, <Q> tends for large system sizes to a constant which depends on the participation ratio, whereas for vectors localized on adjacent basis states it goes to zero as a constant over the number of qubits. Applications to many-body systems and Anderson localization are discussed.
Keywords
Cite
@article{arxiv.0704.2765,
title = {Entanglement of localized states},
author = {O. Giraud and J. Martin and B. Georgeot},
journal= {arXiv preprint arXiv:0704.2765},
year = {2011}
}
Comments
6 pages, 4 figures