Lower Bound to the Entanglement Entropy of the XXZ Spin Ring
Mathematical Physics
2020-07-03 v1 math.MP
Spectral Theory
Abstract
We study the free XXZ quantum spin model defined on a ring of size and show that the bipartite entanglement entropy of eigenstates belonging to the first energy band above the vacuum ground state satisfies a logarithmically corrected area law. Along the way, we show a Combes-Thomas estimate for fiber operators which can also be applied to discrete many-particle Schr\"odinger operators on more general translation-invariant graphs.
Cite
@article{arxiv.2007.00735,
title = {Lower Bound to the Entanglement Entropy of the XXZ Spin Ring},
author = {Christoph Fischbacher and Ruth Schulte},
journal= {arXiv preprint arXiv:2007.00735},
year = {2020}
}
Comments
40 pages