Intersublattice entanglement entropy as an extensive property in antiferromagnets
Abstract
Recent advancements in our understanding of ordered magnets call for a quantification of their entanglement content on an equal footing with classical thermodynamic quantities, such as the total magnetic moment. We evaluate the entanglement entropy (EE) between the two sublattices of a bipartite ordered antiferromagnet finding it to scale with volume. Thus, the EE density becomes an intensive property and is evaluated to be a universal dimensionality-dependent constant when exchange is the dominant interaction. Our analytic results are validated against the DMRG-based analysis of a one-dimensional (1D) system, finding good agreement. Further, our evaluated EE per bond provides a useful shortcut towards obtaining the central-cut EE in 1D, and the area law in higher-dimensional magnets.
Keywords
Cite
@article{arxiv.2103.04809,
title = {Intersublattice entanglement entropy as an extensive property in antiferromagnets},
author = {Dion M. F. Hartmann and Jurriaan J. Wouters and Dirk Schuricht and Rembert A. Duine and Akashdeep Kamra},
journal= {arXiv preprint arXiv:2103.04809},
year = {2021}
}
Comments
6 pages, 5 figures