Highly entangled quantum systems in 3+1 dimensions
Strongly Correlated Electrons
2010-03-15 v1 High Energy Physics - Theory
Quantum Physics
Abstract
Many systems exhibit boundary law scaling for entanglement entropy in more than one spatial dimension. Here I describe three systems in 3+1 dimensions that violate the boundary law for entanglement entropy. The first is free Weyl fermions in a magnetic field, the second is a holographic strong coupling generalization of the Weyl fermion system, and the third is a strong topological insulator in the presence of dislocations. These systems are unified by the presence of a low energy description that includes many gapless 1+1 dimensional modes. I conclude with some comments on the search for highly entangled states of quantum matter and some potential experimental signatures.
Keywords
Cite
@article{arxiv.1003.2434,
title = {Highly entangled quantum systems in 3+1 dimensions},
author = {Brian Swingle},
journal= {arXiv preprint arXiv:1003.2434},
year = {2010}
}
Comments
4 pages