Entanglement Scaling in the One-Dimensional Hubbard Model at Criticality
Strongly Correlated Electrons
2009-11-11 v4 Statistical Mechanics
Quantum Physics
Abstract
We derive exact expressions for the local entanglement entropy E in the ground state of the one-dimensional Hubbard model at a quantum phase transition driven by a change in magnetic field h or chemical potential u. The leading divergences of dE/dh and dE/du are shown to be directly related to those of the zero-temperature spin and charge susceptibilities. Logarithmic corrections to scaling signal a change in the number of local states accessible to the system as it undergoes the transition.
Keywords
Cite
@article{arxiv.cond-mat/0506576,
title = {Entanglement Scaling in the One-Dimensional Hubbard Model at Criticality},
author = {Daniel Larsson and Henrik Johannesson},
journal= {arXiv preprint arXiv:cond-mat/0506576},
year = {2009}
}
Comments
4+ pages, 2 figures. Fig. 2 and minor typos corrected